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Harman [31]
3 years ago
5

Two similar cylinders have heights of 3 cm and 6 cm respectively. If the volume of the smaller cylinder is 30 cm3, find the volu

me of the larger cylinder.Required to answer. Single line text.​
Mathematics
1 answer:
Otrada [13]3 years ago
8 0

Answer:

the ans is

Step-by-step explanation:

V=πr2h=π·32·6≈169.646

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F(x)=x^3 −9x <br> What is the average rate of change of over the interval [1,6]?
Inga [223]

Answer:

34

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

\frac{f(b)-f(a)}{b-a}

Here [ a, b ] = [ 1, 6 ], thus

f(b) = f(6) = 6³ - 9(6) = 216 - 54 = 162

f(a) = f(1) = 1³ - 9(1) = 1 - 9 = - 8

average rate of change = \frac{162-(-8)}{6-1} = \frac{170}{5} = 34

8 0
3 years ago
The length of a rectangle is four times its width. If the area of the rectangle is 324m^2, find its perimeter.
Anuta_ua [19.1K]

Answer:

perimeter=90

Step-by-step explanation:

We know that the length is four times the width, so:

l=4w

We also know the area, which is 324 m². The formula for area:

A=l*w

Insert the known values:

324=(4w)*w

Solve for w. Simplify by removing parentheses:

324=4w*w\\324=4w^2

Divide 4 from both sides to isolate the variable:

\frac{324}{4}=\frac{4w^2}{4}  \\\\81=w^2

Find the square root of both sides:

\sqrt{81} =\sqrt{w^2} \\\\w=9

The width is 9 m.

We know the width. Now find the length by using the area formula and inserting known values:

324=l*9

Solve for l. Divide both sides by 9:

\frac{324}{9}=\frac{l*9}{9}\\\\  l=36

The length of the rectangle is 36. (You can check: 4 times 9 is 36)

Now find the perimeter:

P=2l+2w

Insert values:

P=2(36)+2(9)\\\\P=72+18\\\\P=90

The perimeter is 90 m.

5 0
3 years ago
Two partners agree to invest equal amounts in their business. One will contribute​ $10,000 immediately. The other plans to contr
krek1111 [17]

Answer:

She should contribute $ 8369.38 ( approx )

Step-by-step explanation:

Let P be the amount invested by the other partner,

∵ The amount formula in compound interest,

A=P(1+\frac{r}{n})^{nt}

Where,

r = annual rate,

n = number of compounding periods in a year,

t = number of years,

Here, r = 9% = 0.09, n = 4 ( quarters in a year ), t = 2 years,

Then the amount after 2 years,

A = P(1+\frac{0.09}{4})^{8}

According to the question,

A = $ 10,000,

P(1+\frac{0.09}{4})^{8}= 10000

P(1+0.0225)^8 = 10000

\implies P = \frac{10000}{1.0225^8}\approx \$ 8369.38

6 0
3 years ago
)Of the people in the theater, 5% have seen the movie before. If there are 8 people who have seen the movie before, how many peo
kakasveta [241]

Answer: 160

Step-by-step explanation: 5% of x = 8

In other words, x * 0.05 = 8. To find what x is, we need to work backwards.

x * 0.05 = 8

x = 8/0.05

x = 160

Would appreciate a brainly <3

3 0
3 years ago
To mail some envelopes, Jason needs 16 stamps that cost 32¢ each and 8 stamps that cost 24¢ each. Which number sentence could be
stepan [7]
16(0.32) + 8(0.24) = c
5 0
3 years ago
Read 2 more answers
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