Answer:
The cross section of sphere is circle
Area of cross section = 25 in²
Step-by-step explanation:
From the figure we can see a cylinder with height 8 inches and volume 200 π in³.
<u>The cross section of the cylinder looks like a circle.</u>
<u>To find the area of cross section</u>
Volume of cylinder = Cross section area * Height
200 = cross section area * 8
cross section area = 200/8
= 25 in²
Area of cross section = 25 in²
A=p (1+I/k)^kn
A future value 160000
p present value ?
I interest rate 6/100=0.06
K compounded semiannual 2
T time 18-7=11years
160000=p (1+0.06/2)^(2×11)
Divide each side by (1+0.06/2)^(2×11)
P=160,000÷(1+0.06÷2)^(2×11)
P=83,502.8
Hope it helps:-)
Answer:
see below
Step-by-step explanation:
5|x| + 3 < 18
Subtract 3 from each side
5|x| + 3-3 < 18-3
5|x| < 15
Divide by 5
5|x| /5 < 15/5
|x| < 3
There are two solutions for an absolute value, one positive and one negative ( the negative flips the inequality)
x <3 and x > -3
Place value is where the number is placed and value is what that place is called
Answer:
2 cups of peanut butter
Step-by-step explanation:
Mrs. Carter's famous peanut butter cookies call for 1 cup of peanut butter for every 1/2 of a cup of oil. Today, she wants to make a huge batch with 1 cup of oil. How much peanut butter should she use?
From the above question:
1/2 cup of oil = 1 cup of peanut butter
1 cup of oil = x
Cross Multiply
1/2x = 1 × 1
x = 1 ÷ 1/2
x = 1 × 2/1
x = 2 cups of peanut butter.
Therefore, for huge batch with 1 cup of oil, she should use 2 cups of peanut butter.