Find the scale factor of the two cylinders:
Figure A has an r of 4 and figure B has an r of 2:
2 / 4 = 0.50, so Figure B is half the size of Figure A.
Since you want the volume, which is measured in cubic units, you need to cube the scale factor:
0.5^3 = 0.125
Multiply the volume of Figure A by the scale factor:
352 x 0.125 = 44 cubic feet.
Ft2 (squared) hope it helps
Answer:
15.
x = 40/9 = 4 4/9
z = 24/5 = 4 4/5
17.
x = 50
y ≈ 11.5
Step-by-step explanation:
15. Corresponding segments are proportional:
top right side / whole right side = x / 8
5/(5+4) = x/8
x = 8(5/9) = 40/9
x = 4 4/9
__
right side bottom / right side top = z / 6
z = 6(4/5) = 24/5
z = 4 4/5
____
17. The acute angles are complementary:
x = 90 -40 = 50
__
From the Pythagorean theorem:
y = √(15² -9.6²) = √132.84
y ≈ 11.5
143 seats
because 2920 seats/20 sections=143 seats in each section
Answer:
6 1/2 feet or 78 inches tall
Step-by-step explanation:
You have to multiply 4/8 by 7/1
First you multiply the nominators: 4 × 7 = 28
Then you multiply the denominators: 8 × 1 = 8
So the fraction would be 28/8 and it simplifies to 7/2
You can turn it into an improper fraction by seeing how many times 2 will go into seven evenly, which would be 6 times with 1 half left over
Therefore it would be 6 1/2 feet or 78 inches tall
