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2 years ago

The sum of 4 consecutive integers is 326 What is the second number in this sequence?

Mathematics

1 answer:

Alex_Xolod [135]2 years ago

5 0

Answer:

x+(x+1)+(x+2)+(x+3)=326

4x+6=326
4x=320
x=80

x+1 is the second number
hence second number is 81

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Answer:

$5\sqrt{10}\ units$

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Step-by-step explanation:

we know that

The legs of a 45°-45°-90° triangle are congruent

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5 StartRoot 10 EndRoot

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2 years ago

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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

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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

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

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Applying the Pythagorean Theorem find the height

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

$l=65 ft$

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

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

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

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

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

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therefore

the answer part a) is

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

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

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therefore

the answer part c) is

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

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