Answer:
50
Step-by-step explanation:
Plug 10 in for x.
Diameter be d
Radius be r
- πr²=6767
- r²=6767/π
- r²=2155
- r=46.4cm
Diameter=2r=46.4(2)=92.8cm
Answer:
Part A = $180
Part B = $104
Step-by-step explanation:
Part A:
You do 255÷5=51
51 x 4 = 180
Part B:
You do 130÷5=26
26 x 4 = 104
<u>Answer:</u>
x = 0.417 or x = -0.917
<u>Step-by-step explanation:</u>
We are given the following expression and we are to solve it for the variable x:
We will find the least common multiple of 2. 6 and 9:
Simplifying it to get:
Using the quadratic formula to solve for x:
or 
or 
Answer:
a) ⅓ units²
b) 4/15 pi units³
c) 2/3 pi units³
Step-by-step explanation:
4y = x²
2y = x
4y = (2y)²
4y = 4y²
4y² - 4y = 0
y(y-1) = 0
y = 0, 1
x = 0, 2
Area
Integrate: x²/4 - x/2
From 0 to 2
(x³/12 - x²/4)
(8/12 - 4/4) - 0
= -⅓
Area = ⅓
Volume:
Squares and then integrate
Integrate: [x²/4]² - [x/2]²
Integrate: x⁴/16 - x²/4
x⁵/80 - x³/12
Limits 0 to 2
(2⁵/80 - 2³/12) - 0
-4/15
Volume = 4/15 pi
About the x-axis
x² = 4y
x² = 4y²
Integrate the difference
Integrate: 4y² - 4y
4y³/3 - 2y²
Limits 0 to 1
(4/3 - 2) - 0
-2/3
Volume = ⅔ pi
