What is the function rule for the line?

• The total rise of a set of stairs is 81.125". If there are 11 risers, what is the height of

patriot [66]

Answer:

7.375".

Step-by-step explanation:

That would be 81.125 / 11

= 7.375 ".

3 0

3 years ago

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

so

r=(56/3) ft

h=(33/3)=11 ft

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

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

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

There are 100 seniors and 80 juniors in the Homecoming Parade. The students split up into groups of equal size, to fit on the pa

Masteriza [31]

Answer:

20 students should be on each float

Step-by-step explanation:

Number of seniors = 100

Number of juniors = 80

To find number of students that should be on each float, find highest common factor (H.C.F) of 100 and 80

Write prime factorisation of 100 and 80.

100 = $2^2$ × $5^2$

80 = $2^4$ × 5

So,

H.C.F(100, 80) = $2^2$ × 5 = 4 × 5 = 20

Therefore,

20 students should be on each float

3 0

3 years ago

HELP ME PLEASE!! I’ve been going at it but I just can’t.

UkoKoshka [18]

it’s 3696 m^3 . volume is just length x width x height or l x w x h. just multiply all the numbers given.

5 0

3 years ago

people of brainly need help ASAP. Why are the words hot, cold, wet, and dry so useful to describe climate?

oksano4ka [1.4K]

Answer:

Because each word describes something completely different compared to the others. You normally do not hear of a hot winter or a wet desert.

5 0

3 years ago

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