$\bf \textit{volume of a right-circular cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=10\\ h=8 \end{cases}\implies V=\pi (10)^2(8)\implies V=800\pi \\\\[-0.35em] ~\dotfill\\\\ ~\hfill V\approx 2513.27~\hfill$

7 0

3 years ago

A landscaper is making a garden bed in the shape of a rectangle. The length of the garden bed is 2.5 feet longer than twice the

Step2247 [10]

Answer:

I'll setup the problem, then you can do the calculations

Step-by-step explanation:

Perimeter = 2width(W) + 2length (L)

Area = LW

L = 2.5 + 2W

LW = 62.5

substitute L in equation for area

$2.5W + {2W}^{2} = 62.5 \\ \\ {2W}^{2} + 2.5 - 62.5 \\ \\ use \: quadratic \: solution \\\frac{ - b ± \sqrt{ {b}^{2} - 4ac}}{2a}$

a = 2; b = 2.5; c = 62.5

send a comment if you have a question

7 0

3 years ago

In a race, there are 20 runners. Trophies for the race are awarded to the runners finishing in first and second place. In how ma

andrew11 [14]

Answer:

<u>There are 380 ways that 1st and 2nd place can be determined in the race</u>

Step-by-step explanation:

There are 20 possibilities for determine the 1st place

There are 19 possibilities for determine the 2nd place

Number of ways that 1st and 2nd place can be determined = 20 * 19

Number of ways that 1st and 2nd place can be determined = 380

7 0

3 years ago

Sketch the line passing through the pair of points and identify the line as having a positive slope, a negative slope, a zero sl

scoundrel [369]

Answer:

line will be horizontal running through (0,2)

Step-by-step explanation:

6,2
1,2
2-2/1-6 = 0/-5 = 0 slope. 2 = 0x6+b, 2=b. line will be y=b , y=2.

5 0

2 years ago