The diameter of a circle is 2 meters. What is the circle's circumference?

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted triangle ABC.

By Pythagoras' theorem,

(20)²+(48)²=x²

400+2304=x²

2704=x²

x=52

As we know, area of a triangle = 1/2 × b×h

                                           480= 1/2× 52 ×h

                                                  h=2×480/52

                                                  h= 18.46 = BD          

What is geometry?

Geometry with arithmetic is one of the oldest branches of mathematics. It deals with spatial properties such as distance, shape, size, and relative position of shapes. Mathematicians working in the field of geometry are called geometers.

Until the 19th century, geometry was mostly devoted to Euclidean geometry, which included the concepts of point, line, plane, distance, angle, area, and curve as basic concepts.

In the 19th century, several discoveries dramatically expanded the scope of geometry. One of the oldest discoveries of this kind is Carl Friedrich Gauss's Theorem Egregium ("Remarkable Theorem"), which loosely asserts that the Gaussian curvature of a surface is independent of any particular embedding in Euclidean space. I'm here. This meant that surfaces could be studied intrinsically, i.e., as spaces themselves, and extended to manifold theory and Riemannian geometry.

Therefore, A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted triangle ABC.

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Answer:

the square root function stretched by 2 and shifted so that its turning point is located at (3,-5) is h(x) = 2 * sqrt(x + 3) - 5.

Step-by-step explanation:

Answer:

a = 1

h = 4

k = -4

Step-by-step explanation:

According to the given information $19.50 money did Bonnie spend on lunch.

The description of an equations in algebra is a quantitative expression that demonstrates the equality of two mathematical expressions. Thus instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which have been separated by the 'equal' sign.

The amount withdrew by Bonnie is $1200.

1/5 of the money withdrawn is used for travel arrangements.

the hardware shop for 2/3 of the remaining sum.

After lunch Bonnie had left with 300.50.

spent 1/5 on travel : 1/5(1200) = 1200/5 = 240

1200 - 240 = 960

she spent 2/3 on the hardware : 2/3(960) = 1920/3 = 640

960 - 640 = 320

320 - lunch = 300.50

320 - 300.50 = lunch

19.50 = lunch

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The table that represents a linear equation is the first one, and the line is:

y = 5x + 5

To check which table represents a linear function, you need to identify the increases in x, and check that al the increases/decreases in y are constant.

For example, if you look at the last table:

x = 0, 1, 2, 3

y = 1, 2, 4, 8

First x goes from 0 to 1, so 1 unit increase.

y goes from 1 to 2, 1 unit increase.

Then x goes from 1 to 2, 1 unit increase.

y goes from 2 to 4, 2 units increase.

The increase is not constant, thus it is not a linear equation.

The tables 2 and 3 can be discarded because have both increases/decreases.

Table 1 is the one that represents a linear equation:

x: 0, 1, 2, 3

y: 5, 10, 15, 20

Where the increases in y are always of 5 units, and the linear equation is:

y = 5*x + 5

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(a) The balance be at the end of the year is $502.53.

(b) The Effective annual interest rate is 0.5%.

(c) The Effective annual interest rate must be less than 6%.

What is effective annual interest rate?

The percentage of interest on a loan or financial product that would apply if compound interest built up over a year without any payments would be called the effective interest rate, also known as the effective annual interest rate, annual equivalent rate, or simply effective rate.

Given:

P = $500,  n = 12,  r = 0.5% = 0.005, t = 1

So, the balance be at the end of year is,

[tex]A = P(1+\frac{r}{n})^n^t \\A = 500(1+\frac{0.005}{12})^1^2^*^1 \\A = 500(1.00042)^1^2\\A = 502.53[/tex]

Now to find the effective annual interest rate,

Effective annual interest rate = [tex]= (1+\frac{r}{n})^n-1 = (1+\frac{0.005}{12})^1^2 - 1= 0.005[/tex]

Effective annual interest rate = 0.5%

So, the Effective annual interest rate must be less than 6%.

Hence,

(a) The balance be at the end of the year is $502.53.

(b) The Effective annual interest rate is 0.5%.

(c) The Effective annual interest rate must be less than 6%.

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Coefficient of determination ([tex]r^{2}[/tex]) = 0.527 and Coefficient of non-determination ( [tex]1-r^{2}[/tex]) = 0.473

The coefficient of correlation is the “R” value which is given in the summary table in the Regression output. R square is also called the coefficient of determination. To find the value of R squared, multiply R by R. In other words, the square of the correlation coefficient is the coefficient of determination. The coefficient of determination is a statistical measurement that examines how differences in one variable can be explained by the difference in a second variable when predicting the outcome of a given event.

The Coefficient of Non-Determination explains the amount of unexplained, or unaccounted-for, variance between two variables, or between a set of variables (predictors) in an outcome variable.

Given,

r = 0.726

Coefficient of determination ([tex]r^{2}[/tex]) = 0.527

Coefficient of non-determination ( [tex]1-r^{2}[/tex]) = 0.473

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Answer:

The answer is going to be y because you can see that it hits 2 on the y-intercept and -3 on the x-intercept

Step-by-step explanation:

Here is the one that you need

Answer:

C

Step-by-step explanation:

Anything multiplied by one is itself...its identity

The meaning of slope of the line in the context of the problem is a student's test score goes up 9 points every time they complete 1 homework assignment.

Slope of line is shows how much a line is inclined with respect to the X axis. In other words, it can also be defined as the change in y coordinates with respect to the change in x coordinates.

Slope of the line can be calculated if two points (x₁, y₁) and (x₂, y₂) are given as,

Slope = (y₂ - y₁) / (x₂ - x₁)

From the graph, take any two points on the line.

For instance, we take initial point (1, 20) and final point (10, 100).

Slope = (100 - 20) / (10 - 1)

          = 80/9

          ≈ 9

From the definition of slope, slope equals 9 means y values goes 9 points up with respect to one unit up in the x values.

Hence we got that a student's test score goes up 9 points every time they complete 1 homework assignment.

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The data item that corresponds to the z-score of 2.5 is 450.

What is Standard deviation?

The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers. While a high standard deviation suggests that the values are dispersed over a wider range, a low standard deviation suggests that the values tend to be close to the mean (also known as the anticipated value) of the collection.

A random variable, sample, statistical population, data set, or probability distribution's standard deviation is equal to the square root of its variance. Although less robust in practice, it is algebraically easier than the average absolute deviation. The fact that the standard deviation is expressed in the same unit as the data, as opposed to the variance, makes it a valuable statistic.

As, x = z×s + u, where z=2.5, s=60, u=300

⇒ x = 2.5×60 + 300

⇒ x = 150 + 300

⇒ x = 450

The data item that corresponds to the given z-score is 450.

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Ans (A)   P(CB/M) is  0.07

Ans (B)   P(CB ∩ M) is 0.0343

Ans (C)   P(CB) is 0.03634

Ans (D)   P(M/CB) is 0.94386

Let the population be 100.

Therefore,

No. of males (M) = 49

No. of females (F) = 51

No. of colourblind males =

[tex]\frac{7}{100} * 49 = \frac{343}{100} = 3.43[/tex]

No. of colourblind females =

[tex]\frac{0.4}{51} * 100 = 0.204[/tex]

Total colourblind people (CB) = 3.43 + 0.204 = 3.634

Ans (A)

P(CB/M) = P(CB ∩ M)/P(M) = 3.43/49 = 0.07

Ans (B)

P (CB ∩ M) = 3.43/100 = 0.0343

Ans (C)

P(CB) = 3.634/100 = 0.03634

Ans (D)

P (M/CB) = P(M ∩ CB)/P(CB) = 3.43/3.634 = 0.94386

These are the answers.

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Answer:

m∠2 = 110°

m∠4 = 110°

Step-by-step explanation:

Corresponding Angles Postulate

When a straight line intersects two parallel straight lines, the resulting corresponding angles are congruent.

Vertical Angles Theorem

When two straight lines intersect, the opposite vertical angles are congruent.

Transitive Property of Equality

If any angles are congruent to the same angle, then they are congruent to each other.

--------------------------------------------------------------------------------------

As line p is parallel to line q, according to the Corresponding Angles Postulate:

⇒ m∠2 = m∠10

According to the Vertical Angles Theorem:

⇒ m∠10 = m∠13

According to the Transitive Property of Equality:

⇒ m∠2 = m∠13

Therefore:

⇒ 8x + 14 = 10x - 10

⇒ 8x + 14 - 8x = 10x - 10 - 8x

⇒ 14 = 2x - 10

⇒ 14 + 10 = 2x - 10 + 10

⇒ 24 = 2x

⇒ 2x = 24

⇒ 2x ÷ 2 = 24 ÷ 2

⇒ x = 12

Substitute the found value of x into the expression for the measure of angle 2:

⇒ m∠2 = 8(12) + 14

⇒ m∠2 = 96 + 14

⇒ m∠2 = 110°

--------------------------------------------------------------------------------------

As line p is parallel to line q, according to the Corresponding Angles Postulate:

⇒ m∠12 = m∠4

⇒ 15y + 5 = 13y + 19

⇒ 15y + 5 - 13y = 13y + 19 - 13y

⇒ 2y + 5 = 19

⇒ 2y + 5 - 5 = 19 - 5

⇒ 2y = 14

⇒ 2y ÷ 2 = 14 ÷ 2

⇒ y = 7

Substitute the found value of y into the expression for the measure of angle 4:

⇒ m∠4 = 13(7) + 19

⇒ m∠4 = 91 + 19

⇒ m∠4 = 110°

Answer: 3 of the squares should go down then 8 to the right.

Step-by-step explanation:

it just wants you to say how it was translated so take the corresponding points like p and p’ then count of many tiles it move to the right and then down to get from p to p’ you’ll see that it’s 8 right and 3 down.

hope this helps!

The coordinates of B after the rotation of 90 degrees about the origin is (c) (-5, 1)

The figure of the pentagon missing in the question is added at the end of this solution as an attachment

From the question, we have the following parameters that can be used in our computation:

Coordinate of point B = (1, 5)

Also, from the question, we have the transformation to be

Rotation of 90 degrees about the origin

Mathematically, the rotation of 90 degrees about the origin can be represented as

(x, y) → (-y, x)

Substitute the known values in the above equation, so, we have the following representation

Coordinate of point B after rotation = (-5, 1)

Hence, the coordinate of point B after the rotation is (c) (-5, 1)

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Answer:

4s-$300

Step-by-step explanation:

Two pieces of information given describe Jessica's salary in relation to her starting salary.  This information is that she makes nearly four times her starting salary (multiplication) and the exact amount she is short of exactly four times is $300 (subtraction).  As with the order of mathematical operations, start with multiplication, then put the subtraction into the expression.

s

4s

4s-$300

This final expression shows how much she is making now in terms of her starting. salary

Answer i just need points

Step-by-step explanation: maybe 90

Answer: $28.50

Step-by-step explanation:

(a) 20% of $32.99 = 6.598 so the discounted price is $32.99 - $6.60 (rounded) = $26.39 then 8% of $26.39 = $2.11 so the sales tax is $2.11. (b) the total amount Andre paid for the video game is $26.39 + $2.11 = $28.50.

Pls Brainliest?

Answer:

Step-by-step explanation:

part A $32.91         $32.99-8% = 32.91

part B $32.71         ($32.99-20%)-8% = 32.71

The mean of the distribution of sample means x has a normal probability distribution is μ = 224.4 ft .

Given :

let x represent the full height of a certain species of tree. assume that x has a normal probability distribution with mean 224.4 ft and standard deviation 44.7 ft .

What is mean ?

Mean is the average of the given numbers and is calculated by dividing the sum of given numbers by the total number of numbers .

we know that ,

Mean = sum / number of

so here given  μx = 224.ft which is nothing but the mean .

so  μx =  μ = 224.4 ft

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find the area of the rectangle;

w x l = 8 x 10 = 80ft^2

circle;

pi(r)^2

r = 4

pi(4)^2

pi(16) = 50.24

80 + 50.24 = 130.24

Answer: It's B

Step-by-step explanation:

It shows that Angle B is congruent to angle g but it actually isnt

Answer:

B.  ∠b ≅ ∠g

Step-by-step explanation:

Supplementary angles

Two angles whose measures sum to 180°.

Linear Pair

Two adjacent angles that sum to 180° (two angles which when combined together form a straight line).

Same-side Interior Angles Theorem

When two parallel lines are intersected by a transversal, the angles that are interior to the parallel lines and on the same side of the transversal line are supplementary (sum to 180°).

Vertical Angles Theorem

When two straight lines intersect, the opposite vertical angles are congruent.

------------------------------------------------------------------------------------------

Statement A

∠f and ∠h are vertical angles.  Therefore, according to the Vertical Angle Theorem, ∠f ≅ ∠h.

Statement C

As ∠d and ∠h are the interior angles on the same side of the transversal [tex]\ell[/tex], according to the Same-side Interior Angles Theorem, ∠d and ∠h are supplementary.

Statement D

∠a and ∠b are a linear pair, therefore ∠a and ∠b are supplementary.

Therefore, Statement B cannot be supported by the evidence shown.

When Null hypothesis is rejected in ANOVA then we expect that at least 1 of the comparisons of means Xi versus Xj would be significant using the Scheffe test.

In an ANOVA, the absence of a mean difference is always the null hypothesis.

If the test statistic from the table exceeds the F critical value with degrees of freedom in the k-1 numerator and N-k denominator, the null hypothesis will be rejected.

The means of all the groups are not equal, one deduces if the null hypothesis is rejected. Post-hoc analyses reveal to the researcher which groups differ from one another.

The goal of an ANOVA is to find out if there is a statistically significant difference between the groups if yes then at least 1 of the comparisons of means Xi versus Xj would be significant using the Scheffe test.

Option (d) is correct

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The inverse of the equation is y = (5/x) + 1

From the question, we have the following parameters that can be used in our computation:

y = 5/(x - 1)

Start by swaping the positions of x an dy

So, we have the following representation

x = 5/(y - 1)

So, we have

x(y - 1) = 5

Divide both sides by x

y - 1 = 5/x

Add 1 to both sides

y = (5/x) + 1

Hence, the inverse is y = (5/x) + 1

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Answer:

D (-8, -16)

Step-by-step explanation:

(4+x)/2 = -2

4+ x = -2 · 2

4 + x = -4

x = -4 - 4

x = -8

(4 + y)/2 = -6

4 + y = -6 · 2

4 + y = -12

y = -12 - 4

y = -16

The total accumulated value if $1000 is deposited starting from 2017: (a) using the investment year value is $1897 and (b) Using the portfolio method is $1280.50

You should be aware that the investment year rates are divided into three. Therefore, sum the rates to get the total rate for the years

(a)

Using the investment year method

Total rate for the investment year is

10.0%+10.0%+9.9%=29.9%

The investment value is=$1000

=29.9%*$1000

=0.299*1000

=$299*3 years= $897

After three years = $(1000+897)

=$1897

(b) Using the portfolio method

rate=9.35%

Value=$1000

=9.35%*1000

0.0935*1000

=$93.5

After 3 years, from 2017 = $[1000+(3*93.5)]

=$(1000+20.5)

=$1280.5

In conclusion, the total accumulated value if $1000 is deposited starting from 2017: (a) using the investment year value is $1897 and (b) Using the portfolio method is $1280.50

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a) Using a linear regression analysis, the parameters a and b can be found by transforming the data as follows:

log(M) = log(a) - b/T

log(M) log(2.5 x 10-4) log(5.1 x 10-4) log(0.95 x 10-4) log(4.98 x 10-5) log(2.12 x 10-5) log(1.05 x 10-5) log(5.87 x 10-6)

T 10 20 40 60 80 100 120

1.3979 0.6989 -0.0041 -1.2998 -2.1245 -2.9594 -3.7697

Using the transformed data, a linear regression analysis can be used to find the parameters a and b.

b) Plotting the transformed data and the linear regression curve on the same graph:

c) Using the same graph to plot the data and the best fit exponential curve:

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The correct order for the lowest to highest unit price is:

Brand C < Brand A < Brand B.

In this question we have been given the prices and unit conversions.

We need to rank the brands from lowest to highest unit price.

Brand A: $1.48 for 2.5 pounds

Brand B: $1.30 for 907.18 grams; 1 pound is approximately 453.59 grams

Brand C: $1.55 for 50 ounces; 1 pound is equal to 16 ounces

Given that:

1 pound = 453.59 grams

And 1 pound = 16 ounces

After conversion:

2.5 pounds = 2.5x16 ounces

                  = 40 ounces

and 907.18 grams = (907.18x16/453.59) ounces

                             = 32 ounces

Now we find the unit price for each brand by unitary method.

Brand A: $1.48 for 40 ounces

so, the unit price = 1.48/40

                          = $0.037 per ounce

Brand B: $1.30 for 32 ounces

unit price = 1.30/32

                = $0.041 per ounce

Brand C: $1.55 for 50 ounces

Unit price = 50/1.55

                = $0.031 per ounce

Therefore, The order for lowest to highest unit price:

Brand C < Brand A < Brand B

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