the fire hydrant sits 72 feet from the base of a 125-foot buiding. Find the ANGLE OF ELEVATION from the fire hydrant to the top of the building. *

The answer are A,D,and E

Answer:

A. The formula for the volume of a cyclinder can be applied to find the area of the base.

D. The area of the base is 38Pi cm2.

E. To verify the solution is correct, substitute the given measures and the solution into the equation and verify the result is a true statement.

I hope this helped

Complete question is;

A square pyramid has side lengths each measuring 8 centimeters. The height of the pyramid is 3 centimeters. What is the lateral area of the pyramid?

Answer:

Lateral area = 80 cm²

Step-by-step explanation:

We are given;

Side length; a = 8 cm

Height of pyramid; h = 3 cm

Now, formula for Lateral area of pyramid = ½ × p × L

Where p is perimeter of base and L is slant length.

Since we know the side length and height of pyramid, we can find the slant height using Pythagoreas theorem.

L² = (½×side length)² + h²

L² = (½×8)² + 3²

L² = 16 + 9

L = √25

L = 5 cm

Now perimeter of square base = 4a = 4 x 8 = 32cm

So,

Lateral area = ½ × p × L = ½ × 32 × 5

Lateral area = 80 cm²

Answer:

80 square centimeters

Step-by-step explanation:

we need to find the hypotenuse or the slant height of the triangle so 3^2+4^2 = the square root of 25 = 5

We got 4 because half of 8 is 4 and we are basically cutting the triangle in half because the height (3) is perpendicular to the side length.

8(5)/2 = 20

20(4) = 80

Answer:

it is 0.35

Step-by-step explanation:

but is it not listed??

The equivalent decimal will be 0.35

In order to convert from fraction to decimal, we have to simlpy divide numerator by the denominator.

So according to asked question we have to convert 14/40 into equivalent decimal.

So we have just devide 14 by 40 whiuch will be 14÷40=0.35

Therefore, the equivalent decimal will be 0.35

Learn more about the conversion of fraction into a decimal

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Answer:

$162

Step-by-step explanation:

12% of $75 is $9 Therefore,

$9 x 18 = 162 ( 18 being the years )

Hope this helps!!!

-Conrad

Answer:

53/100

Step-by-step explanation:

The first step is to find the common denominator of the two fractions. Since 10*10=100, you are adding 50/100 and 3/100. 50/100+3/100=53/100. Hope this helps!

Answer:

(120^2+120^2)^0.5 = 169.705m

Step-by-step explanation:

Pythagorean Theorem

Answer:

Step-by-step explanation:

A

Answer:

Step-by-step explanation:

Please locate the answers to this question in the file attached below, the solution is there.

Answer:

A a house in that market that sells for ​$300,000 is unusual.

Step-by-step explanation:

Let the random variable X denote the price of a house and the random variable Y denote the living area of a house.

The number of houses surveyed by the real estate agent is, n = 1057.

Assume that both the random  variables, X and Y are approximately normally distributed.

That is,

[tex]X\sim N(\$169400,\ \$68438)\\\\Y\sim N(2058\ \text{sq. ft.},\ 790\ \text{sq. ft.})[/tex]

To compute the probability of a Normal distribution we first need to convert the raw scores to z-scores.

[tex]z=\frac{\text{Raw score}-\mu}{\sigma}[/tex]

A z-score higher than 1.96 and lower than -1.96 are considered unusual. The values having these z-scores are considered as outliers.

(1)

Compute the z-score for X = 300000 as follows:

[tex]z=\frac{X-\mu}{\sigma}\\\\=\frac{300000-169400}{68438}\\\\=2.70[/tex]

(2)

Compute the z-score for Y = 3000 as follows:

[tex]z=\frac{Y-\mu}{\sigma}\\\\=\frac{3000-2058}{790}\\\\=1.19[/tex]

The z-score for a house in that market that sells for ​$300,000 is more than 1.96.

This implies, that the price $300,000 is unusually high.

The complete statement is:

The house that sells for ​$300 comma 000 has a​ z-score of 2.70 and the house with 3000 sq ft has a​ z-score of 1.19.

use photomath it helps alot

Answer:

60c

Step-by-step explanation:

15c(4)

15c*4=60c

If this wasn't how your problem was written please let me know

Answer:

- When all side faces are the same:

Surface Area = (Area of the Base) + 1/2 × Perimeter × (Slant Length)

- When side faces are different :

Surface Area = (Area of base) + (Lateral Area).

Step-by-step explanation:

A pyramid is formed by connecting a base to a top. There are no curves in a pyramid, the base is a polygon and all other faces are triangles.

There are many types of Pyramids, and they are named after the shape of their base.

We have Triangular Pyramid, Square Pyramid, Pentagonal Pyramid, and so on.

The Surface Area of a Pyramid.

We need to consider the two cases:

- When all side faces are the same:

Surface Area = (Area of the base) + 1/2 × Perimeter × (Slant Length)

- When side faces are different :

Surface Area = (Area of base) + (Lateral Area).

We consider the Area of Base because a pyramid's base varies, as I have explained earlier. It can be a square, a triangle, a pentagon, and so on.

*The complete question is in the picture attached below.

Answer:

756πcm³

Step-by-step Explanation:

The volume of the solid shape = volume of cone + volume of the hemisphere.

==> 270πcm³ + ½(4/3*π*r³)

To calculate the volume of the hemisphere, we need to get the radius of the hemisphere = the radius of the cone.

Since volume of cone = 270πcm³, we can find r using the formula for the volume of cone.

==> Volume of cone = ⅓πr²h

⅓*π*r²*10 = 270π

⅓*10*r²(π) = 270 (π)

10/3 * r² = 270

r² = 270 * ³/10

r² = 81

r = √81

r = 9 cm

Thus, volume of hemisphere = ½(4/3*π*r³)

==> Volume of hemisphere = ½(⁴/3 * π * 9³)

= ½(972π)

Volume of hemisphere = 486πcm³

Volume of the solid shape

= volume of cone + volume of the hemisphere.

==> 270πcm³ + 486πcm³

= 756πcm³

Answer:

2.4 kilograms

Step-by-step explanation:

Given: 5 people are evenly sharing 12 kilograms of apples

To find: quantity of apples that each person should get

Solution:

Use the unitary method to get the required answer.

Under unitary method, if the value of multiple items is given to us, divide the total value by the number of items to obtain the value of one item.

Quantity of apples for 5 people = 12 kilograms

Quantity of apples for 1 person = [tex]\frac{12}{5} =2.4[/tex] kilograms

So, each person should get 2.4 kilograms of apples.

Answer:

12/5 or 2 2/5

Step-by-step explanation:

We need to divide the 12 kilograms of apples by the 5 people sharing them, or 125

12  ÷ 5 = 12/5

12/5 = 5/5 + 5/5 + 2/5

       = 1 + 1 + 2/5

       = 2 2/5

Each person should get 12/5, or 2 2/5, kilograms of apple

Answer:only Ivan

Step-by-step explanation:

Answer:

x = 4

Step-by-step explanation:

Answer:

x = 4

Step-by-step explanation:

1.5(x + 4) - 3 = 4.5(x - 2)

1.5x + 6 - 3 = 4.5x - 9

1.5x - 4.5x = -9 - 6 + 3

-3x = -12

x = -12/-3

x = 4

Answer:

2, 4, 6, 7, 8, 9, 10, 11, 12, 13, 14, 16 and anything else after 16

Step-by-step explanation:

Answer:

18750

Step-by-step explanation:

This is because 18750 is 5 digits and 16.5 is only 2 whole digits

Answer:

C) 60

Step-by-step explanation:

For computing the difference between the time taken in minutes by Noel and Tyra first we have to compute individually which are as follows

For Noel, the time taken required

[tex]= Time\ required \times number\ of\ days[/tex]

[tex]= 90\ minutes \times 6\ days[/tex]

= 540 minutes

For Tyra, the time taken required

[tex]= Time\ required \times number\ of\ days[/tex]

[tex]= 60\ minutes \times 8\ days[/tex]

= 480 minutes

So the difference is

= 540 minutes - 480 minutes

= 60 minutes

Hence, the third option is correct

Answer:

Image A could be a Cylinder

Image B is a Tetrahedron

Step-by-step explanation:

Hope this helps : )

Answer:

Alice's answer is 15 more than Artie's number.

Step-by-step explanation:

The number initially is x.

Artie's number:

Multiplies by 4, so 4x.

Subtracts 3, so 4x - 3.

Alice's number:

Adds 3, so x + 3.

Multiplies by 4, so 4(x + 3) = 4x + 12

Alice's number is how much more than Artie's?

We subtract Alice's number by Artie's number.

4x + 12 - (4x - 3) = 4x + 12 - 4x + 3 = 15

Alice's answer is 15 more than Artie's number.

Answer:

17 will be answer .....

Step-by-step explanation:

He gets 374 miles on 22 gallons ....

Amounts of miles per gallon is 374÷22

= now divide it and answer will come 17 ........

Daniel gets the car 17 miles per gallon

The calculation can be done as follows

Daniel drives the car for 374 miles

He uses 22 gallons of gas

The miles per gallon can be calculated as follows

= 374/22

= 17

Hence the answer is 17 miles per gallon

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Answer:

They all have PI π in the formulas

Step-by-step explanation:

The volume of Sphere is,  [tex]36\pi inch^3[/tex].

The volume of Cylinder is, [tex]36\pi inch^3[/tex].

The volume of Cone is,[tex]18\pi inch^3[/tex].

Volume is a measurement of three-dimensional space that is occupied. It is frequently expressed mathematically using imperial or SI-derived units. Volume and the notion of length are connected.

First to find the volume of Sphere.

Given a diameter of sphere is 6 inches.

So, the radius is 6/2 = 3 inches.

Volume of Sphere is,

[tex]V = \frac{4}{3} \pi r^3\\V = \frac{4}{3} \pi (3^3)\\V = 36\pi inch^3[/tex]

Now, to find volume of Cylinder.

Given: Height = 6 inch,  diameter = 6 inch  so, radius = 3 inch

Volume of cylinder is,

[tex]V = \pi r^2h\\V = \pi (3^2)6\\V = 36\pi inch^3[/tex]

Now, to find the volume of Cone.

Given: Height = 6 inch,  radius = 3 inch

Volume of cone is,

[tex]V = \frac{h}{3} \pi r^2\\V = \frac{6}{3} \pi (3^2)\\ V = 18 \pi inch^3[/tex]

Therefore, the above the volume of Sphere and Cylinder are equal.

And the volume of Cone is half of the volumes of Sphere and Cylinder.

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Answer:

B

Step-by-step explanation:

Try it -3 squared is 9 -4 squared is 16 , 9+16 = 25 so [tex]x^{2} +y^{2} =25[/tex]

Answer:

The answer is B

Step-by-step explanation:

If you look on your picture the circle is 5 on the y axis and -5 on the y axis. and is on 5 on the x axis and -5 on the x-axis makes it 5^2 which equals 25

So if you look on the attachment i provided you can see what i mean. I graphed all equations you had you can see what i mean

Answer:

(a) Null Hypothesis, [tex]H_0[/tex] : [tex]\mu[/tex] = $24.57  

    Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu[/tex] [tex]\neq[/tex] $24.57

(b) The P-value of the test statistics is 0.1212.

(c) We conclude that the population mean hourly wage in the manufacturing industry equals the population mean hourly wage in the U.S industries using P-value approach.

(d) We conclude that the population mean hourly wage in the manufacturing industry equals the population mean hourly wage in the U.S industries using critical value approach.

Step-by-step explanation:

We are given that a sample of employees from the manufacturing industry to see if the mean hourly wage differs from the reported mean of $24.57 for the U.S industries.

Suppose a sample of 30 employees from the manufacturing industry showed a sample mean of $23.89 per hour. Assume a population standard deviation of $2.40 per hour.

Let [tex]\mu[/tex] = population mean hourly wage in the manufacturing industry.

(a) Null Hypothesis, [tex]H_0[/tex] : [tex]\mu[/tex] = $24.57     {means that the population mean hourly wage in the manufacturing industry equals the population mean hourly wage in the U.S industries}

Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu[/tex] [tex]\neq[/tex] $24.57     {means that the population mean hourly wage in the manufacturing industry differs from the population mean hourly wage in the U.S industries}

The test statistics that would be used here One-sample z test statistics as we know about the population standard deviation;

                            T.S. =  [tex]\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex]  ~ N(0,1)

where, [tex]\bar X[/tex] = sample mean wage in the manufacturing industry = $23.89/hr

            σ = population standard deviation = $2.40/hr

            n = sample of employees from the manufacturing industry = 30

So, the test statistics  =  [tex]\frac{23.89-24.57}{\frac{2.40}{\sqrt{30} } }[/tex]

                                      =  -1.55

The value of z test statistics is -1.55.

(b) Now, the P-value of the test statistics is given by;

                P-value = P(Z < -1.55) = 1 - P(Z [tex]\leq[/tex] 1.55)

                              = 1 - 0.9394 = 0.0606

For two-tailed test P-value is calculated as = 0.0606 [tex]\times[/tex] 2 = 0.1212

Since, the P-value of the test statistics is higher than the level of significance as 0.1212 > 0.05, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.

Therefore, we conclude that the population mean hourly wage in the manufacturing industry equals the population mean hourly wage in the U.S industries.

(d) Now, at 0.05 significance level the z table gives critical values of -1.96 and 1.96 for two-tailed test.

Since our test statistic lies within the range of critical values of z, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.

Therefore, we conclude that the population mean hourly wage in the manufacturing industry equals the population mean hourly wage in the U.S industries.

Answer:

  [tex]\dfrac{-5x^2+34x-32}{x^2-10x+24}[/tex]

Step-by-step explanation:

Write each fraction using a common denominator, then combine numerators and collect terms. "Simplify" usually means "eliminate parentheses."

  [tex]\dfrac{8}{x-4}-\dfrac{4}{x-6}-\dfrac{5x}{x-4}=\dfrac{8(x-6)}{(x-4)(x-6)}-\dfrac{4(x-4)}{(x-4)(x-6)}-\dfrac{5x(x-6)}{(x-4)(x-6}\\\\=\dfrac{8(x-6)-4(x-4)-5x(x-6)}{(x-4)(x-6)}=\dfrac{8x-48-4x+16-5x^2+30x}{(x-4)(x-6)}\\\\=\boxed{\dfrac{-5x^2+34x-32}{x^2-10x+24}}[/tex]

Answer:

  (x -4)^2 +1

Step-by-step explanation:

For some f(x), a translation to the right by "h" and up by "k" transforms it to ...

  g(x) = f(x -h) +k

You want your G(x) to be a translation 4 units right and 1 unit up from F(x), so you have ...

  G(x) = F(x -4) +1

  G(x) = (x -4)^2 +1