Answer:
Step-by-step explanation:
Use proportions to solve.
Corresponding sides have same ratio.
<u>Question 1</u>
- (6x + 3)/17 = (8x - 1)/21
- 21(6x + 3) = 17(8x - 1)
- 126x + 63 = 136x - 17
- 10x = 80
- x = 8
<u>Question 2</u>
- (x + 8)/21 = 32/28
- x + 8 = 21*8/7
- x + 8 = 24
- x = 24 - 8
- x = 16
Edge length = 63 feet
Volume = (length) x (width) x (height)
Volume = (63 ft) x (63 ft) x (63 ft) = (63 ft)³ = 250,047 ft³ .
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1 yard = 3 ft
63 ft = 21 yards
Volume of the cube = (21 yd) x (21 yd) x (21 yd) = (21 yd)³ = 9,261 yd³
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A slightly different way:
1 yard = 3 ft
1 yard³ = (3 ft)³ = 27 ft³
Volume of the cube = (250,047 ft³) x (1 yd³/27 ft³) = 250,047/27 = 9,261 yd³
Answers
1. 1/4 x M-6= (m+9)x2
Ps. Couldn’t do 4
V = pi*r^2*h
V = 490
h = 10
490 = pi*r^2*10
r = 3.95
