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2 years ago

12

Find rhe volume of a cylinder with a diameter of 10 inches and a height of 20 inches

1 answer:

IrinaK [193]2 years ago

7 0

Since the diameter of the cylinder is 10, its radius is half that, or 5, thus

$\bf \textit{volume of a cylinder}\\\\
V=\pi r^2 h~~
\begin{cases}
r=radius\\
h=height\\
-----\\
r=5\\
h=20
\end{cases}\implies V=\pi (5)^2(20)$

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Simplify 5 + 2{x - 4[3x + 7(2 - x)]}.

spin [16.1K]

the answer is

Remove unnecessary parentheses.<span><span>5+2x+16x−56</span><span>5+2x+16x-56</span></span>
Subtract <span>5656</span> from <span>55</span> to get <span><span>−51</span><span>-51</span></span>.<span><span>2x+16x−51</span><span>2x+16x-51</span></span>
Add <span><span>2x</span><span>2x</span></span> and <span><span>16x</span><span>16x</span></span> to get <span><span>18x</span><span>18x</span></span>.<span>18x−<span>51</span></span>

7 0

3 years ago

Read 2 more answers

A rectangle has a length of 20 inches. if its perimeter is 64 inches, what is the area?

zzz [600]

Answer:

$\boxed{ \bold{ \huge{ \boxed{ \sf 240 \: {inches}^{2} }}}}$

Step-by-step explanation:

Given,

Length of a rectangle = 20 inches

Perimeter of a rectangle = 64 inches

Area of a rectangle = ?

Let width of a rectangle be ' w ' .

<u>Fi</u><u>rst</u><u>,</u><u> </u><u>finding </u><u>the</u><u> </u><u>width</u><u> </u><u>of</u><u> </u><u>a</u><u> </u><u>rectangle</u>

$\boxed{ \sf{perimeter = 2(l + w)}}$

plug the values

⇒ $\sf{64 = 2(20 + w)}$

Distribute 2 through the parentheses

⇒ $\sf{64 = 40 + 2w}$

Swap the sides of the equation

⇒ $\sf{40 + 2w = 64}$

Move 2w to right hand side and change it's sign

⇒ $\sf{2w = 64 - 40}$

Subtract 40 from 64

⇒ $\sf{2w = 24}$

Divide both sides of the equation by 2

⇒ $\sf{ \frac{2w}{2} = \frac{24}{2} }$

Calculate

⇒ $\sf{w = 12 \: inches}$

Width of a rectangle ( w ) = 12 inches

<u>Now</u><u>,</u><u> </u><u>finding</u><u> </u><u>the</u><u> </u><u>area</u><u> </u><u>of </u><u>a</u><u> </u><u>rectangle</u><u> </u><u>having</u><u> </u><u>length</u><u> </u><u>of</u><u> </u><u>2</u><u>0</u><u> </u><u>inches</u><u> </u><u>and </u><u>width </u><u>of</u><u> </u><u>1</u><u>2</u><u> </u><u>inches</u>

$\boxed{ \sf{area \: of \: rectangle = length \: \times \: \: width}}$

plug the values

⇒ $\sf{area \: of \: rectangle =20 \times 12 }$

Multiply the numbers : 20 and 12

⇒ $\sf{area \: of \: rectangle = 240 \: {inches}^{2} }$

Hence, Area of a rectangle = 240 inches²

Hope I helped !

Best regards!

7 0

3 years ago

What is the name of this angle?

kramer

The correct answer is A.) Obtuse.

When an angle is over 90° it is considered an obtuse angle. Any angle that measures under 90 is an acute angle.

7 0

3 years ago

Estimate then find the product of 758×6

Maurinko [17]

700*6=4,200

<em>*4,200 as an estimate.</em>

---------------------------

6*(758)

=6(700+50+8)

=4,200+300+48

=4,200+348

=4,548

5 0

3 years ago

Read 2 more answers

A pizza parlor charges $8 per pizza plus $0.65 per topping. Which equation can be used to find the cost of a pizza that costs $1

aksik [14]

It would be 3! Have a good DAY

3 0

2 years ago