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3 years ago

13 - [(3² x 4) - 30]

Mathematics

2 answers:

natali 33 [55]3 years ago

6 0

Answer:

Step-by-step explanation:

I think the answer you're looking for is 7

NemiM [27]3 years ago

3 0

Answer:

Step-by-step explanation:

13 - [(3² x 4) - 30]

13 - [(9 x 4) - 30]

13 - (36 - 30)

13-6

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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) Find the height of the cone before the storm

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) Find the volume before the storm

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

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

3) Find the volume after the storm

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

r=(56/3) ft

h=(33/3)=11 ft

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

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

4) Find how this change affect the volume of the pile

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

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

therefore

the answer part a) is

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

Part b) Estimate the number of lane miles that were covered with salt

5) Find the amount of salt that was used during the storm

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

6) Find the pounds of road salt used

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

7) Find the number of lane miles that were covered with salt

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

therefore

the answer part b) is

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

Part c) 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) Find the pounds of road salt

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

9) Find the number of lane miles

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

therefore

the answer part c) is

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

7 0

4 years ago

0.62 lowest form Pls answer! I will mark u as BRAINLIEST ANSWER

labwork [276]

Answer:

31/50 is the lowest form of 0.62

31/50 =0.62

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3 years ago

Which of these equations represent functions where x is the input and y is the output? Select each correct answer.

Andru [333]

The first equation is a constant. There is no input necessary, and the output remains 5.
The second equation is also a constant. The output is 4.
In the third equation, y depends on what value of x you use. x is the input and y is the output.
In the fourth equation, x depends on what value of y you use. The way it is written, y is the input and x is the output.
In the last equation, either x or y could be the input. The other variable would change depending on which variable you replace with a number.

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4 years ago

Ivan, a botanist, treated a 2 cm plant with a special growth fertilizer. With this fertilizer,

chubhunter [2.5K]

Answer

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3 years ago

Which of the following statements correctly uses the distributive property?

Softa [21]

Step-by-step explanation:

9(-7 + 6) = 9(-7) + 9(6)

Hope it help !

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3 years ago