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3 years ago

The volume of a cylinder is 400x cm. The radius of the base of the cylinder is 4 cm. What is the height of the cylinder

Mathematics

1 answer:

irina1246 [14]3 years ago

3 0

Answer: 8cm

Step-by-step explanation:

$V=\pi r^2h$

Solve for h;

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

$h=\frac{400cm^3}{(3.14)(4cm)^2}$

$h=7.96\\h=8$

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Using the greatest common factor for the terms, how can you write 56 + 32 as a product?

coldgirl [10]

Answer:

8(7+4) (C.)

Step-by-step explanation:

First find the greatest number that can go into 56 and 32:

Then we can see if C. works because it is the only one with an 8 out in front:

$8*7=56$

and...

$8*4=32$

So C. is the right answer!

5 0

3 years ago

What is the slope of the line

lesantik [10]

Answer:

Step-by-step explanation:

(0,2) (1,0)

$slope=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{0-2}{1-0}\\\\=\frac{-2}{1}\\\\=-2$

7 0

3 years ago

Suppose that you currently own a clothes dryer that costs $25 per month to operate A new efficient dryer costs $590 and has esti

MArishka [77]

Answer:

After 59 months the new dryer will pay for itself.

Step-by-step explanation:

Let the new clothes dryer takes 'x' months to pay for itself.

Then the operating cost of the new dryer will be = 15x

Since cost of the new dryer = $590

So, total cost of the dryer in x months = $(590 + 15x)

Now we know old dryer's operating cost is = $25 per month

So, operating cost for x months = 25x

By the time when new dryer's total cost becomes equal to the old dryer's operational cost, the new dryer will pay for itself.

Now we can get the value of x by equating the old dryer's operational cost and the new dryer's total cost.

25x = 590 + 15x

25x - 15x = 590

10x = 590

x = $\frac{590}{10}$

x = '59 months'

6 0

3 years ago

The question I have is this 90+30+a=180

pashok25 [27]

Answer:

a = 60

Step-by-step explanation:

90 + 30 = 120

120 - 180 = 60

4 0

3 years ago

Read 2 more answers

Find the quotient of (11 ^ 18)/(11 ^ 3)

astraxan [27]

Answer:

The first choice, $11^{15}$ .

Step-by-step explanation:

The numerator, $11^{18}$ , is equivalent to eighteen " $11$ " multiplied together:

$11^{18} = \underbrace{11 \times 11 \times 11 \times 11 \times \cdots \times 11 \times 11}_{\text{$18$ in total}}$ .

On the other hand, the denominator, $11^{3}$ , is equivalent to three " $11$ " multiplied with one another:

$11^{3} = 11 \times 11 \times 11$ .

Dividing $11^{18}$ by $11^{3}$ would eliminate three " $11$ " from the numerator:

$\begin{aligned}& \frac{11^{18}}{11^{3}} \\ =\; & \frac{(11 \times 11 \times 11) \times \overbrace{11 \times \cdots \times 11}^{\text{$(18 - 3)$ in total}}}{(11 \times 11 \times 11)} \\ =\; & \overbrace{11 \times \cdots \times 11}^{\text{$15$ in total}} \\ =\; & 11^{15}\end{aligned}$ .

In general, dividing an expression by $y^{b}$ ( $y \ne 0$ ) is equivalent to multiplying that expression by $y^{-b}$ .

For example, in this question, dividing $11^{18}$ by $11^{3}$ would be equivalent to multiplying $11^{18}\!$ by $11^{-3}$ . In other words:

$\begin{aligned}& \frac{11^{18}}{11^{3}} \\ =\; & 11^{18} \times 11^{-3} \\ =\; & 11^{18 - 3} \\ =\; & 11^{15}\end{aligned}$ .

6 0

2 years ago