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Vladimir79 [104]

2 years ago

10

If you place a 39-foot ladder against the top of a building and the bottom of the ladder is 31 feet from the bottom of the build

ing, how tall is the building? Round to the nearest tenth of a foot.

1 answer:

ANTONII [103]2 years ago

4 0

The answer would be 39^2 - 31^2 = 24

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A spherical balloon is inflated so that its volume is increasing at the rate of 3 ft3/min. How fast is the diameter of the ballo

beks73 [17]

When an spherical balloon volume is increasing at the rate of $3ft^3/min$ then the diameter of the balloon is increasing $\frac{3}{2\pi }ft /min$

How can we find the rate of change of balloon's diameter ?

The volume of a spherical balloon is $v=\frac{4}{3} \pi r^3$

In form of diameter we can write as

$v=\frac{4}{3} \pi (\frac{D}{2} )^3\\=\frac{1}{6} \pi D^3$

Now we will differentiate both sides wrt to $t$ we get

$\frac{dv}{dt} =\frac{1}{6} \pi 3D^2 \frac{dD}{dt} \\\frac{dD}{dt} =\frac{2}{\pi D^2} \frac{dv}{dt} \\\\when r=1\\D=2ft$

Given in the question $\frac{dv}{dt} =3ft^3/min$

thus when we substitute the values we get

$\frac{dD}{dt} =\frac{2}{\pi *2^2} (3)\\\frac{dD}{dt}=\frac{3}{2\pi } ft/min$

Learn more about the differentiation here:

brainly.com/question/28046488

#SPJ4

3 0

2 years ago

The sum of the measures of angle M and angle R is 90°.

Fiesta28 [93]

Answer:

The value of x would be 5

Step-by-step explanation:

(for future reference if you have questions like this it’s better to fill in numbers for x to be able to answer the question)

So you want to fill in x with a number. In this case in order for this equation to be right you fill x with 5.

So 5(5)+10=35

And to check your answer to make sure it’s right you would add the measure of angle R which is 55 to the measure of angle M which is 35.

55+35 is 90. Which makes your answer for x correct :) hopefully this makes sense.

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3 years ago

Find the value of x<br> 7<br> 17<br> x*

AlladinOne [14]

Answer:

the awnser is 24

8 0

3 years ago

Question #2, thanks :)

tiny-mole [99]

the first rate is 1.25 ur on your own for the rest

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3 years ago

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<em><u>Hope</u></em><em><u> </u></em><em><u>it helps</u></em><em><u> </u></em><em><u>you</u></em><em><u>.</u></em><em><u>.</u></em><em><u> </u></em>

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2 years ago

Read 2 more answers