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1 year ago

9

Juan builds this pedestal for a trophy. What is the volume of the pedestal? Enter your answer in the box. in³ Three-dimensional

figure that could be formed by putting 2 rectangular prisms together. The front of the solid forms an upside down T. The bottom prism is 9 inches long, 2 inches wide, and 4 inches high. The top prism is 4 inches high. The top of the bottom prism measures 2 inches from the right edge to where it meets the top prism. It also measures 2 inches from the left edge to where it meets the top prism.

1 answer:

Marrrta [24]1 year ago

4 0

The answer is is negative 0

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What is 1 4/7 as a improper fraction

Serhud [2]

Hello there,

To write an improper fraction you will have to divide whole number by denominator than add the numerator...

7 * 1 = 7

7 + 4 = 11

The denominator stays the same...

11/7

Answer: 11/7

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A conical pile of road salt has a diameter of 112 feet and a slant height of 65 feet. After a storm, the linear dimensions of th

QveST [7]

we know that

the volume of a cone is equal to

$V= \frac{1}{3} \pi r^{2}h$

in this problem

the radius is equal to

$r= \frac{112}{2}= 56ft$

1) <u>Find the height of the cone before the storm</u>

Applying the Pythagorean Theorem find the height

$h^{2} = l^{2}-r^{2}$

$l=65 ft$

$h^{2} = 65^{2}-56^{2}$

$h^{2} = 1,089$

$h=33 ft$

2) <u>Find the volume before the storm</u>

$V= \frac{1}{3}*\pi* 56^{2}*33$

$V=34,496\pi\ ft^{3}$

3) <u>Find the volume after the storm</u>

After a storm, the linear dimensions of the pile are 1/3 of the original dimensions

so

r=(56/3) ft

h=(33/3)=11 ft

$V= \frac{1}{3}*\pi* (56/3)^{2}*11$

$V= 1,277.63\pi\ ft^{3}$

<u>4) Find how this change affect the volume of the pile</u>

Divide the volume after the storm by the volume before the storm

$\frac{1,277.63 \pi }{34,496 \pi } = \frac{1}{27}$

therefore

<u>the answer part a) is</u>

The volume of the pile after the storm is $\frac{1}{27}$ times the original volume

<u>Part b)</u> Estimate the number of lane miles that were covered with salt

5) <u>Find the amount of salt that was used during the storm</u>

$=34,496 \pi - 1,277.63 \pi \\= 33.218.37 \pi \\= 104,358.59\ ft^{3}$

6) <u>Find the pounds of road salt used</u>

$104,358.59*80=8,348,687.2\ pounds$

7) <u>Find the number of lane miles that were covered with salt</u>

$8,348,687.2/350=23,853.39 \ lane\ miles$

therefore

<u>the answer part b) is</u>

the number of lane miles that were covered with salt is $23,853.39 \ lane\ miles$

<u>Part c) </u>How many lane miles can be covered with the remaining salt? Round your answer to the nearest lane mile

the remaining salt is equal to $1,277.63\pi\ ft^{3}$

$1,277.63\pi\ ft^{3}=4,013.79\ ft^{3}$

8) <u>Find the pounds of road salt </u>

$4,013.79*80=321,103.20\ pounds$

9) <u>Find the number of lane miles </u>

$321,103.20/350=917.44 \ lane\ miles$

therefore

<u>the answer part c) is</u>

the number of lane miles is $917 \ lane\ miles$

7 0

2 years ago

3 Explain how the distributive property helps us multiply the following polynomials and why and how the final products differ: ●

Pavel [41]

<span>●(a + b)^2 = (a +b) (a +b)

(a + b) (a + b) = a*a + a*b + b*a+ b*b = a^2 + 2ab + b^2

●(a – b)^2 (a - b) (a -b)

(a - b) (a -b) = a*a + -ab - ba + b*b = a^2 - 2ab + b^2

●(a - b)(a + b). =

= (a - b) (a + b) = a*a + ab - ba - b*b = a^2 - b^2
</span>

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2 years ago

A square has a side of 3x - 4 what is the area of the Square in terms of x?

Doss [256]

Answer:

9x2−24x+16

Hope this helps!

Step-by-step explanation:

The formula for a square is side times side since every side is of equal length. Because we are leaving the answer in terms of x you just multiply 3x-4 by 3x-4 and simplify and you get 9x2−24x+16

Please mark as brainliest :)

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1 year ago