Answer:
40 units²
Step-by-step explanation:
Area of Rectangle: A = lw
Step 1: Define variables
<em>l</em> = 8
<em>w</em> = 5
Step 2: Substitute and evaluate
A = 8(5)
A = 40 u²
The point slope form of the line has the following form:
y – y1 = m (x – x1)
The slope m can be calculated using the formula:
m = (y2 – y1) / (x2 – x1)
m = (3 - 0) / (0 – 4) = - ¾
So the whole equation is:
y – 0 = - ¾ (x – 4)
y = - ¾ (x – 4) or
<span>y = - 0.75 (x – 4)</span>
Answer:
the answer is the third answer on the picture
Step-by-step explanation:
23. J
7,220 kids drink zero.
14,060 kids drink one
5,700 kids drink two
(multiply the total amount of kids by the percent (convert percent to decimal))
When added together, you get 26,980.
24. C
5,700 kids drink two
2,660 kids drink three
1,140 kids drink four
7,220 kids drink five or more
When added together, you get 16,720 kids.
Next set up a proportion.
38,000 total 30 total kids
------------------ = --------------------
16,720 kids x
For 38,000 to get to 30, you have to divide 38,000 by 1,266.67.
This means that you also have to divide 16,720 by 1,266.67.
This gets you 13.
Answer:
The volume of the solid is π/40 cubic units.
Step-by-step explanation:
Please refer to the graph below.
Recall that the area of a semi-circle is given by:
The volume of the solid will be the integral from <em>x</em> = 0 to <em>x</em> = 1 of area A. Since the diameter is given by <em>y</em>, then the radius is <em>y/2</em>. Hence, the volume of the solid is:
Substitute:
Simplify:
Integrate:
![\displaystyle V=\frac{1}{2}\pi \left[\frac{x^5}{20}\Big|_0^1\right]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20V%3D%5Cfrac%7B1%7D%7B2%7D%5Cpi%20%5Cleft%5B%5Cfrac%7Bx%5E5%7D%7B20%7D%5CBig%7C_0%5E1%5Cright%5D)
Evaluate:
The volume of the solid is π/40 cubic units.
