Find m ∠ JKL using the picture

Find M JKL Using The Picture

Answers

Answer 1

The value of m∠JKL is 34°

How to find the value of m∠JKL?

An angle formed by a tangent and a secant intersecting outside a circle is equal to one-half the difference of the measures of the intercepted arcs.

Based on the theorem above, we can say:

m∠JKL = 1/2 * (159 - 91)

m∠JKL = 1/2 * 68

m∠JKL = 34°

Therefore, the value of m∠JKL in the circle is 34°.

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Related Questions

21. The measures of the segments formed by the altitude to the hypotenuse of a right triangle are in the ratio 1: 4. The length of the altitude is 14.
a. Find the measure of each segment.
b. Express, in simplest radical form, the length of each leg.

Answers

Answer:

Step-by-step explanation:

1. add 14 to 24

2. ur done!

A survey found that 34% of the students spend time with your family eating dinner. Oh the 500 student surveyed, about how many spend time with their family eating dinner?

Answers

Answer:

A survey found that 34% of the students spend time with your family eating dinner. Oh the 500 student surveyed, about how many spend time with their family eating dinner?

Step-by-step explanation:

If 34% of the students surveyed spend time with their family eating dinner, we can find the approximate number of students who do so by multiplying the percentage by the total number of students surveyed:

34% of 500 students = 0.34 x 500 = 170 students

Therefore, about 170 of the 500 students surveyed spend time with their family eating dinner.

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a confidence interval for a population mean was reported to be to . if , what sample size was used in this study? (round your answer up to the next whole number.)

Answers

The sample size cannot be determined from this information alone. A confidence interval for a population mean is calculated based on the mean of a sample, the sample size, and the standard deviation.

What is deviation?

Deviation is the difference between the expected value or average of a set of data and the actual value. For example, if the average of a set of numbers is 10 and one of the numbers is 15, the deviation of that number is 5. Deviation is a measure of how much variation exists in a set of data. It is an important tool used to measure the accuracy of a data set and identify outliers within that data set. Deviation is also used to measure the volatility of a stock or other investment, which is a measure of how much its price changes over time.

Therefore, to determine the sample size, the mean, standard deviation, and confidence interval of the sample must all be known.

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The sample size cannot be determined from this information alone. A confidence interval for a population mean is calculated based on the mean of a sample, the sample size, and the standard deviation.

What is deviation?

Deviation is the difference between the expected value or average of a set of data and the actual value. For example, if the average of a set of numbers is 10 and one of the numbers is 15, the deviation of that number is 5. Deviation is a measure of how much variation exists in a set of data. It is an important tool used to measure the accuracy of a data set and identify outliers within that data set. Deviation is also used to measure the volatility of a stock or other investment, which is a measure of how much its price changes over time.

Therefore, to determine the sample size, the mean, standard deviation, and confidence interval of the sample must all be known.

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Complete Question:
A 95% confidence interval for a population mean was reported to be 152 to 160. If s 15, what sample size was used in this study?

in a lottery daily game, a player picks three numbers from 0 to 9 (without repetition). how many different choices does the player have a) if order matters? b) if order does not matter? 84

Answers

There are 720 different choices if order matters and there are 120 different choices if order does not matter.

Calculating the number of different choices

a) If order matters,

The player can choose the first number in 10 ways (any of the digits 0-9), the second number in 9 ways (since one digit has already been chosen), and the third number in 8 ways (since two digits have already been chosen).

So the total number of choices is:

10 x 9 x 8 = 720

Therefore, there are 720 different choices if order matters.

b) If order does not matter,

We need to divide the number of choices by the number of ways the three numbers can be arranged.

Since there are 3 numbers, they can be arranged in 3! = 6 ways.

So the number of choices when order does not matter is:

(10 x 9 x 8) / 6 = 120

Therefore, there are 120 different choices if order does not matter.

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In a cross AaBbCc times AaBbCc, what is the probability of producing the genotype AABBCC?- 1/4- 1/8- 1/16- 1/32.- 1/64

Answers

The probability of producing the genotype AABBCC in a cross AaBbCc × AaBbCc is 1/64.

A Punnett square is a grid used to forecast the likelihood of an offspring of a mating between two parents with known genotypes. The grid consists of four boxes or cells with one parent's gamete genotype listed along the top, and the other parent's gamete genotype listed down the side.

To determine what proportion of their offspring will possess a certain genotype or phenotypic characteristic, the gamete genotypes are combined using the grid.

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consider a completely randomized design with k treatments. assume all pairwise comparisons of treatment means are to be made using a multiple comparisons procedure. determine the total number of pairwise comparisons for k.

Answers

The total number of pairwise comparisons for k is (k*(k-1))/2.

There are (k*(k-1))/2 pairwise comparisons in a completely randomized design with k treatments. For example, if there are 4 treatments, there will be 6 pairwise comparisons (4C2 = 6). Here's the explanation:In a completely randomized design, the treatments are randomly assigned to the experimental units. The main objective of such a design is to determine whether the treatment means are different from each other or not.To compare the treatment means, we use the mean square between treatments (MST) and mean square error (MSE). The test statistic used to compare the means is F = MST/MSE.The ANOVA table for a completely randomized design has the following format:Source of variationSum of SquaresDegrees of freedomMean SquareF-testtreatmentSS(k-1)k-1MST=MSTrMSEResidualSSTn-kMSEReference: https://www.stat.yale.edu/Courses/1997-98/101/anovar.htmNow, we need to compare each pair of treatments using a multiple comparisons procedure. A pairwise comparison involves comparing the means of two treatments only.The total number of pairwise comparisons is given by the combination formula:$$ \frac{k!}{2!(k-2)!} = \frac{k(k-1)}{2} $$Therefore, the total number of pairwise comparisons for k is (k*(k-1))/2.

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A retailer can buy waterproof jackets that last for five years at a cost of $150 for 50 jackets. The other option is buying jackets that last for two years at a cost of $80 for 50 jackets. Which option offers the biggest savings? Show your work.

Answers

The waterproof jackets that last five years offer the biggest savings, as they have a lower cost per jacket per year.

What is a cost function?

The cost curve, which in economics expresses production costs as a function of output. The loss function is a function that has to be minimised in mathematical optimization. A cost function evaluates how inaccurate the model is in estimating the connection between X and y.

Given that, cost of waterproof jackets that last for 5 years = $150 for 50 jackets.

Thus, cost of one jacket = 150/50 = $3.

The jacket lasts 5 years thus for 1 year the equivalent cost is:

3/5 = $0.60.

Now, for the other jacket:

Cost per year is = (80/50) / 2 = $0.80 per jacket per year.

Hence, the waterproof jackets that last five years offer the biggest savings, as they have a lower cost per jacket per year.

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If |z – 2| = |z – 6| then locus of z is given by :
a) a straight line parallel to x axis
b) none of these
c) a straight line parallel to y axis
d) a circle

Answers

c) The locus of z is a straight line parallel to the y-axis for x = 4.

What is a locus of line?

The locus of a line is the set of all points that satisfy a given geometric condition related to that line. The term "locus" refers to the path or trajectory followed by a point or set of points that satisfy the given condition.

To determine the locus of z in the given equation |z-2| = |z-6|, we can use the definition of the absolute value of a complex number which is

[tex]|x + iy| = \sqrt{(x^2 + y^2)}[/tex]

So, we can square both sides of the given equation to get:

[tex]|z-2|^2 = |z-6|^2[/tex]

put z = (x + iy)

[tex]|x+iy-2|^2 = |x+iy-6|^2\\|(x-2)+iy|^2 = |(x-6)+iy|^2\\[/tex]

[tex][\sqrt{((x-2)^2 + y^2)} ]^{2} = [\sqrt{((x-6)^2 + y^2)} ]^{2}[/tex]

x² + 4 - 4x = x² + 36 - 12x

after simplification, x = 4

Therefore, the locus of z is a straight line parallel to the y-axis passing through the point x = 4.

Hence, the correct option is (c) a straight line parallel to the y-axis.

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Each of the following is not a vector space. For each of them, determine at least one part of the vector space definition that fails. (a) A={ax2+1:a∈R}with vector addition and scalar multiplication defined as forPn​. (b) B=R2 with scalar multiplication defined as usual for Rn but with vector addition defined as below: [\begin{array}{c}a1\\b1\end{array}\right] + [\begin{array}{c}a2\\b2\end{array}\right] = [\begin{array}{cc}a1-a1\\b1-b2\end{array}\right]

Answers

The definition of vector space that fails is part A and B  because it does not satisfy the any property of vector space.

The following statement can be determined if at-least one part of vector space definition that fails as:

(a) A is not a vector space because it does not contain the zero vector.

The zero vector is the unique vector that satisfies the property that when it is added to any other vector in the space, the result is the original vector.

However, in this case, the [a1, b1] + [a2, b2] = [a1 - a2, b1 - b2] is 0x² + 1, which is not an element of A. Therefore, A fails to satisfy the requirement of having a zero vector, and it is not a vector space.

(b) B is not a vector space because it does not satisfy the distributive property of scalar multiplication over vector addition.

In general, scalar multiplication must distribute over vector addition, meaning that for any scalar a and any vectors u and v in the space, a(u+v) = au + av.

However, in B, the scalar multiplication is defined as usual for R², but the vector addition is defined differently. In particular,[a1, b1] + [a2, b2] = [a1 - a2, b1 - b2].

The vector space definition fails because the vector addition is not associative, and it is also not commutative, which are the first two conditions for vector spaces. Therefore, the first and second conditions of the definition are not met.

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phoebe has a hunch that older students at her very large high school are more likely to bring a bag lunch than younger students because they have grown tired of cafeteria food. she takes a simple random sample of 80 sophomores and finds that 52 of them bring a bag lunch. a simple random sample of 104 seniors reveals that 78 of them bring a bag lunch.Do these data give convincing evidence to support Phoebe’s hunch?

Answers

Yes, the data give convincing evidence to support Phoebe's hunch. As the result of the test is a p-value that is 0.1 of less than 0.05.

What is p-value?

The p-value is the probability of obtaining a result as extreme or more extreme given that the null hypothesis is true. The p-value is calculated by comparing the test statistic to the probability distribution under the null hypothesis.

The ratio of seniors bringing a bag lunch= 78/104 or 0.75,

while the ratio of sophomores bringing a bag lunch= 52/80 or 0.65.

This indicates that the proportion of seniors bringing a bag lunch is higher than the proportion of sophomores bringing a bag lunch.

Further, the difference between the proportions is

0.75-0.65 = 0.1,

which is a large enough difference to be considered significant.

The result of the test is a p-value of less than 0.05, which is statistically significant and indicates that the difference in the proportions is due to the different ages, and not due to chance.

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What is the next term of 24,30,36,42,48

Answers

Answer:

54

Step-by-step explanation:

Add six each time -> 24 + 6 = 30 + 6 = 36 etc

E=1’2’3’4’5’6’7’8’9
A=1,3,4,8,9
B=2,4,9
Complete the Ben diagram for this info
A number is chosen at random for {
What is the probability as a fraction that the number is a member of A n B

Answers

Probability of the number being part of A∩B= 2/9

What is Venn diagram?

The Venn diagram, a style of diagram that illustrates the logical connection between sets, was created by John Venn in the 1880s. The examples are used to illustrate fundamental set connections and introduce basic set theory in the fields of probability, logic, statistics, linguistics, and computer science.

A Venn diagram is a type of visual representation that uses circles to show the relationships between various items or constrained groups of objects. Circles that coincide and those that intersect have certain properties in common. Venn diagrams are helpful for visually illustrating the relationship and differences between two ideas.

What is probability?

The probability of an occurrence is a figure used to indicate the likelihood that the event will occur. It is expressed as a figure between 0 and 1, or between 0% and 100%, when expressed as a percentage. The likelihood that the occurrence will occur increases with the probability.

In this question,

A∩B= 4,9

Probability of the number being part of A∩B= 2/9

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Mr. Roy captures 15 snapping turtles near some wetland by his house. He marks them with a "math is cool"
label and releases them back into the wild. 6 months later, he captures another 15 snapping turtles - 4 of
which were marked. Estimate the population of snapping turtles in the area to the nearest whole number.

Answers

The area's estimated snapping turtIe popuIation, rounded to the cIosest whoIe number, is 56.

WhoIe numbers are aII integers, right?

That is correct! As 0 is a whoIe number and aII whoIe numbers were integers, 0 is additionaIIy an integer.

The LincoIn-Petersen index method, which is frequentIy empIoyed to determine the size of a popuIation using a capture-mark-recapture approach, can be utiIized to resoIve this issue.

The estimated popuIation (N) is equaI to (M x C) / R using the foIIowing formuIa:

M is the quantity of peopIe incIuded in the initiaI sampIe (marked turtIes)

C is the second sampIe's size (totaI number of turtIes caught in the second sampIe)

R is the quantity of marked peopIe who were Iocated again in the specimen.

When we enter the specified vaIues into the equation, we obtain:

N = (15 x 15) / 4

N = 56.25

The area's snapping turtIe popuIation is thought to be 56, rounded off to the cIosest whoIe number.

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Please help it’s for tmr, I only have 18 minutes left
Leo has a number of toy soldiers between 27 and 54. If he wants to group them four by four, there are none left, seven by seven, 6 remain, five by five, 3 remain. How many toy soldiers are there?
The answer is 48 but I need step by step explanation

Answers

Leo might therefore have 36 or 48 toy soldiers, which is a choice between the two numbers.

What is the greatest number that is possible?

The attempt to demonstrate that your integer is larger than anyone else's integer has persisted through the ages, despite their being more numbers than there are atoms in the universe. The largest number that is frequently used is a googolplex (10googol), which equals 101¹⁰⁰.

We'll name Leo's collection of toy soldiers "x" the amount. We are aware of:

We can infer x to be one of the following figures from the first condition: 28, 32, 36, 40, 44, 48, or 52.

To find out which of these integers meets the other two requirements, we can try each one individually:

x + 6 = 34 and x + 3 = 31, neither of which is a multiple of five, if x = 28.

X + 6 = 38 and X + 3 = 35, none of which is a multiple of 5, follow if x = 32.

When x = 36, x + 6 = 42, a multiple of 7, and x + 3 = 39, a multiple of 5, follow. This might be the answer.

x + 6 = 46 and x + 3 = 43, neither of which is a multiple of five, if x = 40.

x + 6 = 50 and x + 3 = 47, neither of which is a multiple of five, if x = 44.

When x = 48, x + 6 = 54, a multiple of 7, and x + 3 = 51, a multiple of 5, follow.

x + 6 = 58 and x + 3 = 55, neither of which is a multiple of five, if x = 52.

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What is 25.71 rounded to 2 Decimal Place?

Answers

The rounded value of 25.71 to 2 decimal places is 25.71 itself.

How to find 25.71 rounded to 2 Decimal Place

To round 25.71 to 2 decimal places, we need to look at the third decimal place, which is 1.

If the third decimal place is 5 or greater, we round up the second decimal place. If the third decimal place is less than 5, we simply drop it and keep the second decimal place as is.

In this case, the third decimal place is 1, which is less than 5, so we simply drop it and keep the second decimal place as is. Therefore, 25.71 rounded to 2 decimal places is:

25.71 ≈ 25.71 (no rounding necessary)

So, the rounded value of 25.71 to 2 decimal places is 25.71 itself.

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a) Explain the concept of a greedy algorithm. b) Provide an example of a greedy algorithm that produces an optimal solution and explain why it produces an optimal solution. c) Provide an example of a greedy algorithm that does not always produce an optimal solution and explain why it fails to do so.

Answers

a) A greedy algorithm is an approach to problem-solving that makes the locally optimal choice at each step with the hope of finding a globally optimal solution.

This means that at each step, the algorithm chooses the best available option without considering the future consequences of that decision.

(b) An example of a greedy algorithm that produces an optimal solution is the activity selection problem.

Given a set of activities with their start and end times, the goal is to select the maximum number of non-overlapping activities. The greedy algorithm sorts the activities by their end times and selects the first non-overlapping activity.

It then repeats this process with the remaining non-overlapping activities until all activities have been selected. This algorithm produces an optimal solution because selecting the activity with the earliest end time leaves the maximum amount of time available for the remaining activities.

(c) An example of a greedy algorithm that does not always produce an optimal solution is the knapsack problem.

Given a set of items with their weights and values, the goal is to maximize the value of items that can be carried in a knapsack of a given weight capacity. The greedy algorithm selects items based on their value-to-weight ratio until the knapsack is full.

However, this algorithm can fail to produce an optimal solution if there are items with high value but large weight, which cannot fit in the knapsack after the algorithm selects several low-value items with small weight. In such cases, a more sophisticated algorithm is required to find the optimal solution.

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The zero product property, says that if a product of two real numbers is 0, then one of the numbers must be 0.
a. Write this property formally using quantifiers and variables.
b. Write the contrapositive of your answer to part (a).
c. Write an informal version (without quantifier symbols or variables) for your answer to part (b).

Answers


The contrapositive of the zero product property is that if neither of the two real numbers is 0, then the product of the two numbers will not be 0. In plain language, this means that if neither of the two numbers are 0, then the product of the two numbers cannot be 0.

In an informal version, this can be stated as "if neither number is 0, then their product cannot be 0". This can be understood as "if neither number is 0, the result of multiplying them together cannot be 0". In other words, the product of two real numbers will not be 0 if neither of them is 0.

Which is different? What is the area of a circle with a diameter of 1 m? What is the area of a circle with a diameter of 100 cm? What is the area of a circle with a radius of 100 cm? What is the area of a circle with a radius of 500 mm? Question 2 Find "both" answers. Round to the nearest square centimeter. The area of the circle that is different is about square centimeters. The area of the other three circles is about square centimeters

Answers

1) The area of a circle with a diameter of 1 m is approximately 0.7854 square meters.

2) The area of a circle with a diameter of 100 cm is approximately 7853.98 square centimeters.

3) The area of a circle with a radius of 100 cm is approximately 314159.27 square centimeters.

4) The area of a circle with a radius of 500 mm is approximately 785398.16 square millimeters.

The formula for the area of a circle is A = πr², where A is the area and r is the radius of the circle.

1) If the diameter of the circle is 1 m, then the radius is 0.5 m. Therefore, the area of the circle is:

A = πr² = π(0.5)² = π(0.25) ≈ 0.7854 square meters.

2) If the diameter of the circle is 100 cm, then the radius is 50 cm. Therefore, the area of the circle is:

A = πr² = π(50)² = π(2500) ≈ 7853.98 square centimeters.

3) If the radius of the circle is 100 cm, then the area of the circle is:

A = πr² = π(100)² = π(10000) ≈ 314159.27 square centimeters.

4) If the radius of the circle is 500 mm, then the area of the circle is:

A = πr² = π(500)² = π(250000) ≈ 785398.16 square millimeters.

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You ride your bike 1 3/4 miles to your friend's apartment and then another
1 3/10 miles to school. How many miles do you ride your bike in all?

Answers

Answer:3 1 /20

Step-by-step explanation:= 1+3/4+1+3/10

if x < y < z and all three are consecutive non-zero integers, then which of the following must be a positive odd integer?

Answers

Option (A) x+1 is a positive odd integer.

Given that, x < y < z and all three are consecutive non-zero integers.Let the first number be x, then the other two consecutive non-zero integers will be (x+1) and (x+2).To find out the positive odd integer among these, let us take each of them and verify if they are positive odd integers.∴ x+1 is odd, x+2 is even∴ x+1 is the only positive odd integer out of the three.

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Jenny wants to measure the height of a tree she sites the top of the tree using a mirror that is lying flat on the ground. The mirror is 20 feet from the tree, and Jenny is standing 8 feet from the mirror as shown in the figure, her eyes are 5 feet above the ground how tall is the tree?

Answers

The Height of tree is around 8.33 feet tall.

What is the connection among Height and distance?

In science, we work out the Height of an item utilizing distance and points. Distance is the even distance between the items, and point is the point over the level of the article's top, which gives the item's level.

We can utilize the rule of comparable triangles.

The hypotenuse of this triangle would be the line associating Jenny's eyes to the highest point of the tree (we should refer to this distance as "h").

We can set up the accompanying extent between the two triangles:

h / 20 = (h + 5) / 8

To solve for "h", we can cross-multiply and simplify:

8h = 20(h + 5)

8h = 20h + 100

12h = 100

h = 8.33 feet

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An equilateral triangle as a side of 35 cm what is the distance around the triangle​

Answers

Answer:

Step-by-step explanation:

To find the perimeter of an equilateral triangle is equalled to 3s.

35 x 3

105

10) Find the vertex form of the parabola.

Answers

Step-by-step explanation:

4x + y^2 + 2y =  - 5

4x = - y^2 -2y - 5          

4x = - (y^2 + 2y)   - 5      'complete the square' for y

4x = - ( y +1)^2   + 1    - 5

 x = - 1/4 ( y+1)^2  - 1             vertex is at -1, -1

-14x+2y^2-8y -20 = 0

14x = 2y^2 -8y-20

14x = 2 ( y^2 - 4y) - 20     complete the square for y

14x = 2(y-2)^2  -8 - 20

x = 1/7 ( y-2)^2 - 2                Vertex is at   -2 , 2

Question 2 Which is NOT the method that can be used to show congruency of two triangles? a) SSS b) ASA c) SAS d) SSA 0) None of the above Review Question3 ASATABFE by the HL method mZ AST 48 and m FEB 3x Find x.

Answers

Answer:

NO.2- SSA is not the method to show the congruency of two triangles.

The valume pf a right triangular prism is 72 cubic feet. The height of the prism is 9 feet. The triangular basevis an isosceles right triangle. What is the area of the base? 2,4,8,16 in square feet. What is the length of the edge of DF? 2,4,8,16 in feet

Answers

If the volume of a right triangular prism is 72 cubic feet, the area of the base is 2 square feet and the length of DF is approximately 2.83 feet.

To solve the problem, we can use the formula for the volume of a right triangular prism, which is:

Volume = (1/2) x base x height x length

where base is the area of the triangular base, height is the height of the prism, and length is the length of the prism.

We are given that the volume is 72 cubic feet and the height is 9 feet. Therefore, we can write:

72 = (1/2) x base x 9 x length

Simplifying this equation, we get:

base x length = 16

We are also given that the base is an isosceles right triangle. This means that the two legs of the triangle are equal, and the hypotenuse is equal to the length of one leg times the square root of 2.

Let's call the length of one leg of the triangle DF. Then, we can write:

base = (1/2) x DF x DF

Substituting this expression for base into the equation we derived earlier, we get:

(1/2) x DF x DF x length = 16

Simplifying this equation, we get:

DF x DF x length = 32

We know that the hypotenuse of the triangle is DF times the square root of 2. Since the hypotenuse is also one of the edges of the base of the prism, we can set it equal to the length of the prism:

DF x √(2) = length

Substituting this expression for length into the equation we derived earlier, we get:

DF x DF x DF x sqrt(2) = 32

Simplifying this equation, we get:

DF^3 = 16

Taking the cube root of both sides, we get:

DF = 2

Therefore, the area of the base is:

base = (1/2) x DF x DF = 2 square feet

And the length of DF is:

DF x √(2) = 2 x √(2) feet = approximately 2.83 feet.

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Determine whether the set StartSet left bracket Start 3 By 1 Matrix 1st Row 1st Column 1 2nd Row 1st Column 0 3rd Row 1st Column negative 3 EndMatrix right bracket comma left bracket Start 3 By 1 Matrix 1st Row 1st Column negative 3 2nd Row 1st Column 1 3rd Row 1st Column 6 EndMatrix right bracket comma left bracket Start 3 By 1 Matrix 1st Row 1st Column 1 2nd Row 1st Column negative 1 3rd Row 1st Column 0 EndMatrix right bracket EndSet 1 0 −3 , −3 1 6 , 1 −1 0 is a basis for set of real numbers R cubedℝ3. If the set is not a​ basis, determine whether the set is linearly independent and whether the set spans set of real numbers R cubedℝ3. Which of the following describe the​ set?

Answers

The set [1 0 −3 , −3 1 6 , 1 −1 0] is not a basis for set of real numbers R cubed(ℝ3).

The reason why it is not a basis is because it is not linearly independent. However, the set does span set of real numbers R cubed(ℝ3).To determine if the given set is a basis for set of real numbers R cubed(ℝ3), we need to test for linear independence and for span.Linear independence

The given set is said to be linearly independent if and only if the only solution to the equation a[1 0 −3] + b[−3 1 6] + c[1 −1 0] = [0 0 0] is the trivial solution where a, b and c are constants.If the given set is linearly independent then it is a basis for R3; if it is not linearly independent, it is not a basis for R3.

SpanThe given set is said to span R3 if every vector in R3 can be written as a linear combination of vectors in the given set.

If the given set spans R3, then it can be considered a basis for R3.For us to test if the given set is linearly independent, we can form a matrix by placing the three given vectors into the columns of a 3 x 3 matrix as follows:[1 0 1] [−3 1 −1] [−3 6 0]

By expanding the determinant of the matrix above, we get: det(A) = 0 - 0 - (-3) = 3

Since the determinant is non-zero, we can say that the given set is linearly independent. Since the given set is linearly independent, we can then use it to span R3. Hence the given set does not form a basis for R3 but it is linearly independent and spans R3.

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C = {[1 2 3], ['cell '; 'array'], 24; [3; 6; 9], [22, 44; 66, 88], 'matrix'} what is the result of c{2, 1}?

Answers

'cell '. The element in the second row and first column of the cell array C is accessed using the phrase c(2,1). The first element in the second row of C is the string "cell," which is that element.

The element in the second row and first column of the cell array C is accessible by the equation c(2,1). The first element in the second row of C is the string "cell," which makes up that element. The string "cell" is the result of c(2,1).

The curly braces in MATLAB are used to retrieve the contents of a cell array. "Access the contents of the cell in the second row and first column of C" is what the phrase C2,1 implies. The string in question is the outcome of the expression since it is present in the relevant cell.

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Answer needed ASAP!!
:)

Answers

The answer of the given question based on the finding the m∠QTS from a circle with the measure of minor arc the answer is the measure of angle ∠QTS is 60° degrees.

What is Arc?

In geometry, arc is  portion of a curve or  circle. It is defined as the part of the curve that is contained between two points, called endpoints, on curve. The length of  arc is  fraction of the circumference of  circle, determined by the measure of  central angle that subtends it.

An arc is typically denoted by  two endpoints, with  small arc or arc symbol above the two letters. For example, an arc with endpoints A and B would be denoted as "⌒AB" or "AB".Arcs can be classified based on their measure or  position of their endpoints.

An arc with measure less than 180 degrees is called  minor arc, while an arc with measure greater than 180 degrees is called  major arc. An arc with measure equal to 180 degrees is called semicircle.

Since arc QS is a minor arc, we know that angle ∠QTS is half the measure of arc QS. Therefore, we have:

m∠QTS = (1/2) m arc QS

m∠QTS = (1/2) (120°) [Substituting the given value of m arc QS]

m∠QTS = 60°

Therefore, the measure of angle ∠QTS is 60° degrees.

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17. The sum of the interior angles of a pentagon is6x + 6y. Find y in term of x

Answers

Answer:

We know that, the sum of interior angles of an n-sided polygon is (n−2)×180⁰

For a pentagon, n=5

so,

[tex] \implies \rm \: 6x + 6y = (n - 2)180[/tex]

[tex] \implies \rm \: 6(x + y) = (5 - 2)180[/tex]

[tex] \implies \rm \: 6(x + y )= 3 \times 180[/tex]

[tex] \implies \rm \: (x + y) = \dfrac{3 \times 180}{6} [/tex]

[tex] \implies \rm \: (x + y) = \dfrac{ 3 \times \cancel{180} \: \:30}{ \cancel6} [/tex]

[tex] \rm \implies \: x + y = 90[/tex]

[tex] \underline{\boxed{\implies \rm \: y= 90 - x}}[/tex]

Pentagon Formulas

There are many formulas related to a pentagon. A few basic ones are given below.

Diagonals of a pentagon: = n × (n − 3) ÷ 2 = 5 × (5 − 3) ÷ 2 = 5Sum of interior angles of a pentagon: = 180° × (n − 2) = 180° × (5 − 2) = 540°Each exterior angle of a regular pentagon: = 360° ÷ n = 360° ÷ 5 = 72°Each interior angle of regular pentagon: = 540° ÷ n = 540° ÷ 5 = 108°Area of a regular Pentagon = 1/2 × Perimeter × ApothemPerimeter of Pentagon = (side 1 + side 2 +side 3 + side 4 + side 5)

7) Roy buys pizza for his friends. A whole pizza costs P 190. 00 and P 40. 00 for every
additional topping. If he spent P 1070 for pizza with 3 sets of additional toppings, how
many whole pizzas did he buy?

Answers

Roy purchased whole pizzas for P 190.00 each. To determine the number of whole pizzas he bought, we can divide the total cost of the pizzas by the cost of each pizza. Therefore, the calculation P 950.00 / P 190.00 results in 5, indicating that Roy bought five whole pizzas.

Roy spent a total of P 1070 for pizza with 3 sets of additional toppings. Since each set of additional toppings costs P 40.00, then the total cost of the toppings is 3 x P 40.00 = P 120.00. Subtracting this from the total amount spent gives us P 950.00, which is the cost of the pizzas alone.

Since each whole pizza costs P 190.00, we can divide the cost of the pizzas by the cost of each pizza to find the number of whole pizzas Roy bought. Therefore, P 950.00 / P 190.00 = 5.

Thus, Roy bought 5 whole pizzas.

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