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Mathematics

2 answers:

elixir [45]3 years ago

5 0

Answer:

a) 3/4

b) 75%

Step-by-step explanation:

vredina [299]3 years ago

3 0

Answer:

big prize is 1/8 and the 4/3 is correct

Step-by-step explanation:

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Describe how you would use a yardstick to measure the length of a rug?

tensa zangetsu [6.8K]

U would use a yard stick because the rug may be a yard or less

6 0

3 years ago

Evaluate the following expression. −8 × (−10) −7× 1/−1

GaryK [48]

Answer:

Step-by-step explanation:

$-8\left(-10\right)-7 \times \frac{1}{-1}=87\\\\\mathrm{Apply\:rule}\:-\left(-a\right)=a\\\\=8\times \:10-7\times \frac{1}{-1}\\\\8\times \:10=80\\\\7\times \frac{1}{-1}=-7\\\\=80-\left(-7\right)\\\\\mathrm{Apply\:rule}\:-\left(-a\right)=a\\\\=80+7\\\\=87$

3 0

3 years ago

Gravel is being dumped from a conveyor belt at a rate of 40 ft3/min. It forms a pile in the shape of a right circular cone whose

Norma-Jean [14]

Answer:

$\frac{dh}{dt}=\frac{160}{169\pi } ft/min$

Step-by-step explanation:

This is a classic related rates problem. Gotta love calculus!

Start out with the formula for the volume of a cone, which is

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

and with what we know, which is $\frac{dV}{dt}=40$

and the fact that the diameter = height (we will come back to that in a bit).

We need to find $\frac{dh}{dt}$ when h = 13

The thing we need to notice now is that there is no information given to us that involves the radius. It does, however, give us a height. We need to replace the r with something in terms of h. Let's work on that first.

We know that d = h. Because d = 2r, we can say that 2r = h, and solving for r gives us that $r=\frac{h}{2}$ .