The answer would be 8 or A
Step by Step Explanation:
First you have to find the volume of the Sphere.
Set the problem up like this: V = Volume
V= 4/3 • pi (3.14) • 6(3)
= 904.32
Now you have to volume and as stated the volume and radius is the same for both the cylinder and sphere. So now you plug in the answers for the letters.
Formula for (V) Volume of Cylinder is:
V= Pi (3.14) • R (radius) (2) • H (height)
So plug in for what you know
904.32 = 3.14 • 6(2) • H
904.32 = 3.14 • 36 • H
113.04/904.32 = 113.04 • H/113.04
8 = H
The answer is A
Answer: Boat cost $ 3200
Trailer cost $ 800
Step-by-step explanation: From the statement , the coat of Trailer (t) = 1/4 of the coat of the boat ( b)
i.e t = 1/4b
multiply through by 4
4t = b
both cost 4,000
i.e t + b = 4000
recall: b = 4t
therefore
t + 4t = 4000
5t = 4000
t = 4000/5
t = 800
b = 4000 - 800
b = 3200
Answer: A
Explanation: Area of a rectangle = length * width= 2 * 5n = 10n. So Jenny was correct and Alan was wrong (because the length of the rectangle is not 2n; it is just 2)
What are the measurements of the container
Answer:
24: x = 31
25: x = 15
Step-by-step explanation:
Remark
24 is supplementary which means that the two angles add to 180o which is on the right hand side of the equation
25 is complementary which means that the two angles add to 90o which is on the left hand side of the equation
Twenty Four
3x + 31 +2x - 6 = 180 Collect the like terms
3x +2x + 31 - 6 = 180 Do the adding and subtracting.
5x + 25 = 180 Subtract 25 from both sides
5x + 25 - 25 = 180 - 25
5x = 155 Divide by 5
x = 155/5
x = 31
Check
3x + 31 = 3*31 + 31
3x + 31 = 93 + 31
3x + 31 = 124
2x - 6 = 2*31 - 6 = 62 - 6 = 56
Total 124 + 56 = 180 as it should.
Twenty Five
Equation
3x+ 4x - 15 = 90
Solution
7x - 15 = 90 Like terms have been collected on the left.
7x = 90 + 15 15 was added to both sides
7x = 105 Divide by 7
x = 15 I'll leave the check to you
