A triangle has angle measures of 45 degrees, 45 degrees, and 90 degrees. Which statement is true about the lengths of the sides? Each side has a different length. Two sides have the same length, which is less than the length of the third side. The three sides have the same length. The sum of the lengths of two sides is equal to the length of the third side.

No. Tom is not correct.

If the money were split equally everyone would've gotten £200.

But, if everyone went by the mentioned distribution, then,

Rachel would get = 2/5 x 600 = £280

Remainder money = 600 - 280 = £320

Samina would get = 1/4 x 320 = £80

Tom would get the remaining money = 600 - (280 + 80)

                                                              = 600 - 360

                                                              =  £240      

Since, £240 > £200, Tom would be incorrect in saying he would have had more money if he had split the money equally.

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The total area of the Caribbean sea and the South Atlantic ocean is 4.299 × 10⁷ km². The correct option is the second option 4.299 × 10⁷ km²

From the question, we are to determine the total area of the water bodies.

From the given information

"The area of the Caribbean sea is 2.7182 × 10⁶ km²"

and

"The area of the South Atlantic ocean is 4.027 × 10⁷ km²"

To determine the total area, we will add  up the two areas

Total area = 2.7182 × 10⁶ km² + 4.027 × 10⁷ km²

Total area = 0.27182 × 10¹ × 10⁶ km² + 4.027 × 10⁷ km²

Total area = 0.27182 × 10⁷ km² + 4.027 × 10⁷ km²

Total area = 4.29882 × 10⁷ km²

Total area ≈ 4.299 × 10⁷ km²

Hence, the total area is 4.299 × 10⁷ km²

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Answer:

Hence, the total area is 4.299 × 10⁷ km²

Step-by-step explanation:

The less value including 13% VAT in Rs. 3200 than Rs. 3820 is 340 rupees.

A percentage is a ratio or number that may be expressed as a fraction of 100. Additionally, it is denoted by the sign "%."

Here, we have VAT.

A flat charge called value-added tax (VAT) is imposed on a purchase. It resembles a sales tax in some ways, with the exception that with a sales tax, the consumer pays the entire amount due to the government at the moment of sale. With a VAT, several participants to a transaction each pay a piece of the tax amount.

Value on Rs. 3200 with 13% VAT

= 3200 + 30% of 3200

= 3200 + 960

= 4160 rupees

Now, the less value,

= 4160 - 3820

= 340 rupees.

Therefore, the less value is 340 rupees.

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Store B offers better $0.85 per-roll price than store A.

One type of operation is division in mathematics. The phrases or numbers are divided into the same number of components during this operation.

Given, two stores sell identical sandwich rolls in different size packages.

Store A sells a six-pack for $5.28.

To find the unit price,

we take division of 5.28 with number 6.

The unit price of sandwich roll for store A,

= 5.28 / 6

= $0.88

To find the unit price of sandwich roll for store B,

we take division of 3.40 with number 4.

= 3.40 / 4

= $0.85

And $0.85 < $0.88.

Therefore, Store B offers better per-roll price.

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Answer:

Step-by-step explanation:

11.1

The approximate value of y - x is 17.2°.

Right angled triangle are those triangle for which one of the angle is 90 degrees.

Given a right triangle LMN.

Using the tangent function,

tan (y) = 19.1 / 14.1

          = 1.3546

y = tan⁻¹ (1.3546) = 53.56°

We know that,

x + y = 90°, since the other angle is 90°.

x = 90 - 53.56° = 36.44°

y - x = 53.56° - 36.44° = 17.12° ≈ 17.2°

Hence the value of y - x is 17.2°.

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The mean absolute deviation of the given numbers is 0.5.

The mean is the sum of all values divided by the total number of values.

The mean of the given number is obtained by dividing the sum of the values by its total number of value.

i.e.  (1.6+1.7+2.5+2.8+2.8+3)/6 = 2.4

Then taking the difference of each number from the mean.

i.e. (1.6-2.4), (1.7-2.4),(2.5-2.4),(2.8-2.4),(2.8-2.4),(3-2.4)

i.e. -0.8,-0.7,0.1,0.4,0.4,0.6

Take the sum of the absolute value of the above numbers

i.e. |-0.8+-0.7+0.1+0.4+0.4+0.6| = 3

Divide 3 by 6 to obtain mean absolute deviation.

i.e 3/6 = 1/2 =0.5

Hence, 0.5 is the mean absolute deviation of the given numbers.

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The law of sines uses only two sides and the angles that are opposite them, while the law of cosines uses all three sides and only one of the sides opposite an angle

An angle's cosine and sine are equal to each other, with the sine of an angle equal to the cosine of its complementary angle.

The law of cosines uses all three sides and only one of the sides that are opposite an angle, whereas the law of sines only uses two sides and the angles that are opposite them. The sine ratio is used by the law of sines, and the cosine ratio is used by the law of cosines.

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Complete question

What is the difference between the law of sines and the law of cosines

the system of three linear equations with three variables each that has the unique solution is 2x + 3y + 4z = 30, 3x + 4y + 5z = 45 and 5x + 6y + 7z = 75.

2x + 3y + 4z = 30

3x + 4y + 5z = 45

5x + 6y + 7z = 75

The first equation is 2x + 3y + 4z = 30. The coefficients for the variables are 2, 3 and 4 which are all non-zero, meaning that this equation has a unique solution.

The second equation is 3x + 4y + 5z = 45. The coefficients for the variables are 3, 4 and 5 which are all non-zero, meaning that this equation also has a unique solution.

The third equation is 5x + 6y + 7z = 75. The coefficients for the variables are 5, 6 and 7 which are all non-zero, meaning that this equation also has a unique solution.

Therefore, the system of three linear equations with three variables each that has the unique solution is 2x + 3y + 4z = 30, 3x + 4y + 5z = 45 and 5x + 6y + 7z = 75.

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Step-by-step explanation:

it is the process of changing rows to columb

The number of bears living in the area after 17 years is; 22555

We are given the function;

f(t) = 103/(1 + 26e^(-0.31t))

Where f(t) is a function that models the number of bears living in the area after t period of years.

Thus, to find the number of bears living in the area after 17 years, we will just substitute 17 for t in the given function to get;

f(17) = 103/(1 + 26e^(-0.31*17))

f(17) = 103/0.00456653759

f(17) ≈ 22555 bears

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The calculation that will give the closest estimate of the sales of soft drinks and hot dogs is 360 * 2 + 220  * 2

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

Time = one week

Number of cans = 362

Unit price of soft drink = $1.75

Number of hot dogs = 221

Unit price of hot dogs = $2.35

The calculation that will give the closest estimate is represented as

Estimate = Number of cans * Unit price of soft drink + Number of hot dogs * Unit price of hot dogs

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

Estimate = 362 * 1.75 + 221  *2.35

Approximate

Estimate = 360 * 2 + 220  * 2

Hence, the expression is 360 * 2 + 220  * 2

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The price of the chair in the furniture store is $94.

Given that the wholesale price for a chair is $169 and that a certain furniture store marks up the wholesale price by 16%.

The price of the chair in the furniture store will be:

= $169 + (16% × $169)

= $169 + $27.04

= $196

The price is $194.

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The polynomial expression are P(x) = (x - 1)(x + 1)[(x - 3)² + 1] and P(x) = x⁴ - 6x³ + 9x² + 6x - 10

Factored form

The given parameters are

There are complex numbers in the above zeros

This means that, the other zero is

Zeros = 3 + i

The equation of the polynomial is then calculated as

P(x) = Leading coefficient * (x - zero)^multiplicity

So, we have

P(x) = (x - 1) * (x + 1) * (x - (3 + i)) * (x - (3 - i))

This gives

P(x) = (x - 1) * (x + 1) * (x - 3 - i) * (x - 3 + i)

Evaluate the products

P(x) = (x - 1) * (x + 1) * [(x - 3)² - (i)²]

So, we have

P(x) = (x - 1) * (x + 1) * [(x - 3)² + 1]

P(x) = (x - 1)(x + 1)[(x - 3)² + 1]

The standard form

In (a), we have

P(x) = (x - 1) * (x + 1) * [(x - 3)² + 1]

Expand

P(x) = (x² - 1) * (x² - 6x + 9 + 1)

So, we have

P(x) = (x² - 1) * (x² - 6x + 10)

Remove the brackets

P(x) = x⁴ - 6x³ + 10x² - x² + 6x - 10

Evaluate the like terms

P(x) = x⁴ - 6x³ + 9x² + 6x - 10

Hence, the equation is P(x) = x⁴ - 6x³ + 9x² + 6x - 10

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Using the given data, the number of suspects is; 7

The union of two sets A and B is the set of all those elements which are either in A or in B, and which is denoted as A ∪ B.

However, the intersection of two sets A and B is defined as the set of all elements which are common. The intersection of these two sets is denoted by A ∩ B.

Now, we are told that;

Total number of people in the office = 30 people

Number of people wearing a white button down shirts = 22

Number of people wearing black pants = 16

Number of people wearing a multicolored tie = 7

Thus, by definition of intersection of sets, if the suspect was wearing black pants, a white button-down shirt, and a multicolored tie, then;

The number of suspects =  A ∩ B ∩ C = 7 people

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The college graduate's new net worth is given as follows:

$13,833.

The net worth of a company or of a person is given by the sum of the values of all assets of the person subtracted by the sum of the values of all debts of the person.

The assets if the student are given as follows:

The liabilities of the student are given as follows:

Thus the student's net worth is calculated as follows:

(10000 + 14278 + 4337 + 14950 + 11774) - (3250 + 5129 + 33097) = $13,863.

Which is closest to the third option among those given.

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Answer:

the correct answer is 12057

Step-by-step explanation:

in order to calculate net worth, add up the assets, and then subtract the debt. be sure to pay attention to details

heres an UNRELATED TO THE QUESTION example:

i have...

$500 in my savings

$20 in my wallet

but im $200 deep in credit card debt..

(add 500 + 20, then subtract 200)

net worth: 320

The value of y in the isosceles triangle is AC = 6 cm

What Is an Isosceles Triangle?

A triangle with two sides of equal length is an isosceles triangle. The isosceles triangle has three acute angles, meaning that the angles are less than 90°. The sum of three angles of an isosceles triangle is always 180°.

In an isosceles triangle, the two equal sides are called legs, and the remaining side is called the base. The angle opposite the base is called the vertex angle

The three types of Isosceles Triangles are :

Isosceles acute triangle

Isosceles right triangle

Isosceles obtuse triangle

Given data ,

Let the triangle be represented as ABC

Now , the angle ∠ABC = 25°

The angle ∠ACB = 25°

So , the 2 angles of a triangle is 25° so , the third angle is 130°

So , the triangle is an isosceles triangle

And , the two sides of the triangle is AB = AC

The measure of side AB = 6 cm

The measure of side AC = measure of side AB

Therefore , the measure of side AC = 6cm

Therefore , the value of AC is 6 cm

Hence , the measure of side AC of triangle is 6 cm

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Answer: (-1/7)x - 34 = 1/4

Step-by-step explanation: The solution for all other equations is 7 and for the 3rd equation, the solution is 239.75 or 959/4

1) 3/4 X +5=-1/4

x=-7

2) 1/2X - 3 = 1/2

x=7

3) x = -137×7 /4

4) x= -7

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Answer:

Step-by-step explanation:

Sorry if this is different, but based on what I read, here is the answer.

100 x 0.85 = 85

therefor it is 85%, which is significantly more than 80%

Answer:

C

Step-by-step explanation:

1/18 x³y + 7/18 xy²

1/18 xy (x² + 7y)

Answer: x = 6, y = 10; as a point, that would be (6, 10).

Step-by-step explanation:

To do it graphically, you would just graph the equations 25x + 15y = 300 and x + y = 16. Then, you would find the intersecting point.

To do this, you should convert to point-slope format.

15y = -25x + 300 and x + y = 16

1) y = -5/3x + 20 and 2) y = -x + 16

Now, for equation 1, you start at the y-intercept (0, 20) and for every increase of 1 on the x-axis, you decrease -5/3 on the y-axis. To graph this in the software, you click on the point (0, 20) and on another point on the line y = -5/3x + 20. (Any will do, but it should be an integer. (3, 15) works.)

Do the same for equation 2. Start at the y-intercept (0, 16) and decrease 1 for every increase of 1 on the x-axis.

Look for the point(s) where the lines intercept. It is (6, 10). If you have the time, you can verify this algebraically.

The answer to each part is -

        y = mx + c    

        where -

        [m] : slope of line
        [c] : y - intercept                    

Given is the graph of a straight line as shown.

[A] - A second equation for the system so it has infinitely many solutions can be the one that overlaps the line given. So the second equation can be written as follows. The points are -

(0, 4) and (4, 1)

Let the line be -

y = mx + c

m = (1 - 4)/(4 - 0) = -3/4

m = -3/4

So, the equation will be -

y = (-3/4)x + 4

[B] -

For no solution, the line will be parallel to the given line. The equation of the line is → y = (-3/4)x + 4. The equation whose graph goes through (0, 1) so the system has no solutions as : y = (-3/4)x + 1.

Therefore, the answer to each part is -

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The probability that a randomly chosen person from the united states can donate blood to maria is 0.50

considering blood to be of types A,B,AB and O

further all blood groups are equi probable

Probability of blood type A  = probability of blood type B = probability of blood type AB = probability of blood type O = x

Probability of blood type A  + probability of blood type B + probability of blood type AB + probability of blood type O = 1

⇒ 4x = 1

⇒ x = 1/4

Probability that a random person will have blood of type B or O = x+x

= 1/4 + 1/4

= 1/2

= 0.50

Hence we get the required answer.

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Answer:greater

Step-by-step explanation:

Answer:

972 is greater than 792.

Answer:

a. [tex]\frac{x+2}{x+6}[/tex]

Step-by-step explanation:

[tex]\frac{x^2 + 5x+6}{x^2 +9x+18}=\frac{(x+2)(x+3)}{(x+3)(x+6)}=\frac{x+2}{x+6}[/tex]

The domain is set of all real numbers and the range is y ≥ -4

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

The equation is given as

g(x) = |x + 4|

The domain

The above equation is an absolute value equation

An absolute value equation can take any value as its input

This means that the domain is the set of all real numbers

When represented as an interval, we have

The domain is (-∝, ∝)

Also, we have

-∝ < x < ∝

Hence, the domain is the set of all real numbers

The range

Here, we have

g(x) = |x + 4|

The above equation is an absolute value function

An absolute value function represented as

y = a|x - h| + k

Where

Vertex = (h, k)

So, we have

Vertex = (-4, 0)

Remove the x value

y = -4

Because the leading coefficient is positive, then the vertex is a minimum

i.e.

[-4, ∝)

Another representation is

y ≥ -4

So, the range is y ≥ -4

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If we compare the p value and a significance level given for example [tex]\alpha = 0.05[/tex] we see that [tex]p_{v} < \alpha[/tex] that the standard deviation of [tex]iq[/tex] scores in this population is known to be 15 the actual true mean is significantly different from 100.  

[tex]p_{v}[/tex] = 2 * p ( [tex]t_{30}[/tex] < -4.08 ) = 0.00031

X = 89 represent the mean of seventh-grade girls in Midwest school district

s = 15 represent the standard deviation for the sample  

n = 31 sample size  

μ = 100 represent the value that we want to test  

'a' represent the significance level for the hypothesis test.  

't' would represent the statistic (variable of interest)  

[tex]p_{v}[/tex] represent the p value for the test (variable of interest)

State the null and alternative hypotheses,

We need to conduct a hypothesis in order to determine if the mean is different from 100, the system of hypothesis would be:  

Null hypothesis: μ = 100

Alternative hypothesis: μ ≠ 100

We don't know the population deviation, so for this case is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:  

t = (X-μ) / ([tex]\frac{s}{\sqrt{n} }[/tex] )                (Equation-1)

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

Calculate the statistic  

We can replace in formula (1) the info given like this:  

t = [tex]\frac{89-100}{\frac{15}{\sqrt{31} } }[/tex]

t = -4.08

Calculate the P-value  

First we need to calculate the degrees of freedom given by:  

[tex]df = n-1[/tex]

[tex]df = 31 -1[/tex]

[tex]df = 30[/tex]

Since is a two tailed test the p value would be:  

[tex]p_{v}[/tex] = 2 * p ( [tex]t_{30}[/tex] < -4.08 )

[tex]p_{v}[/tex] = 0.00031

Therefore,

If we compare the p value and a significance level given for example [tex]\alpha = 0.05[/tex] we see that [tex]p_{v} < \alpha[/tex] that the standard deviation of [tex]iq[/tex] scores in this population is known to be 15 the actual true mean is significantly different from 100.  

[tex]p_{v}[/tex] = 2 * p ( [tex]t_{30}[/tex] < -4.08 ) = 0.00031

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Answer:

1 -  $15

2-  $30

3 - $45

4 - $60

Step-by-step explanation:

$15/hour

1 -  $15 =1*15

2-  $30 =2*15

3 - $45 =3*15

4 - $60=4*15

By solving a linear equation, it can be calculated that-

The two planes will be in the same altitude after 9 minutes at an altitude of 24300 feet

What is a linear equation?

At first it is important to know about linear equation

Equation shows the equality between two algebraic expressions by connecting the two algebraic expressions by an equal to sign.

A one degree equation is known as linear equation.

Here, the linear equation is

Let the time taken by the airplane to meet the same altitude be t minutes

An airplane is preparing to land at an airport. It is 55800 feet above the ground and is descending at the rate of 3,500 feet per minute.

So altitude of the first airplane after t minutes = 55800 - 3500t

At the same​ airport, another airplane is taking off and will ascend at the rate of 2,700 feet per minute.

Altitude of second airplane = 2700t

By the problem,

The linear equation is

55800 - 3500t = 2700t

2700t + 3500t = 55800

6200t = 55800

t = 9 minutes

Altitude = 2700 [tex]\times[/tex] 9 = 24300 feet

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The equation is log_2 (3x - 5) = 9 There are no real solutions to this equation because the logarithm of a negative number is undefined. The left side of the equation would require the argument to be negative, thus making the equation impossible to solve.

This equation cannot be solved because the logarithm of a negative number is undefined. The left side of the equation is of the form log_2 (N), where N is some real number.For the equation to have any real solutions, N needs to be greater than 0. However, in this equation, N is equal to 3x - 5, which can be negative for certain values of x. This means that there is no real number x that can be substituted into the equation to make it true, since the logarithm of a negative number is not defined. Therefore, this equation has no real solutions.

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The complete table will be;

Minutes              15   30

Cages cleaned   2    4

Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.

Given that;

The owner of Paradise Pets works hard to keep her store clean. It takes her 15 minutes to clean 2 hamster cages.

Now,

Since, The owner of Paradise Pets works hard to keep her store clean. It takes her 15 minutes to clean 2 hamster cages.

Hence, By definition of proportion we get;

Let the time to clean 4 hamster cages = x

So, We get;

⇒ 15 / 2 = x / 4

⇒ 15×4 / 2 = x

⇒ 30 = x

⇒ x = 30

Thus, It take 30 minutes to clean the 4 hamster cages.

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