Correct answer is Option A: 18/48 = 21/56
You’ll have to divide the numerator by the denominator of each fraction to see whether they have the same quotient:
18/48 = 0.375
21/56 = 0.375
The other options are not proportional.
B) 20/28 = 15/18:
20/28 = 0.714
15/18 = 0.833
Thus, 20/28 ≠ 15/18
C). 3/5 = 13/10
3/5 = 0.6
13/10 = 1.3
Hence, 3/5 ≠ 13/10
D) 7/10 = 10/7
7/10 = 0.7
10/7 = 1.43
Thus, 7/10 ≠ 10/7
These solutions prove that the correct answer is A) 18/48 = 21/56
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Answer:
90 stamps from Canada, 108 stamps from the United States, and 135 stamps from the Rest of the World
Step-by-step explanation:
Since this is a problem of proportion we can use the Rule of three to solve this. We do this by multiplying the diagonal available values and dividing by the third value in order to get the missing variable, which in this case would be the number of stamps in the other country. Like so...
1.5 <=====> 135 stamps
1.2 <=====> x stamps (United States)
(1.2 * 135) / 1.5 = 108 stamps (United States)
1.5 <=====> 135 stamps
1 <=====> x stamps (Canada)
(1 * 135) / 1.5 = 90 stamps (Canada)
Finally, we can see that Katie had 90 stamps from Canada, 108 stamps from the United States, and 135 stamps from the Rest of the World. All creating a ratio or 1:1.2:1.5
Volume of a quadrangular pyramid=(1/3)bh
b=base
h=height
b=area of the base=area of a square=8.4 ft * 8.4 ft=70.56 ft²
Pythagoras theorem:
hypotenuse²=leg₁² + leg₂²
data:
hypotenuse=9.6 ft
leg₁=height=h
leg₂=8.4 ft /2=4.2 ft
(9.6 ft)²= h² + (4.2 ft)²
92.16 ft²=h²+17.64 ft²
h²=92.16 ft²-17.64 ft²
h²=74.52 ft²
h=√(74.52 ft²)=8.63 ft.
Volume of this quadrangular pyramid=(1/3)(70.56 ft²)(8.63 ft)=202.9 ft³≈202.3 ft³
Answer: ≈202.3 ft³
Answer:
256
Step-by-step explanation:
8×8=64
64×4=256
64
4
256
Answer:
Step-by-step explanation:
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