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:
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Step-by-step explanation:
Answer:
72.73% probability of selecting a girl, given the flip resulted inheads
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
Coin resulted in heads
Student is selected at random from a class of six boys and sixteen girls.
Desired outcomes:
16 girls, so 
Total outcomes:
16+6 = 22, that is, 22 students, so 
Probability:

72.73% probability of selecting a girl, given the flip resulted inheads
Answer:
D. 1.6 yd
Step-by-step explanation:
Use the law of sines.




Answer:
x=4
Step-by-step explanation:
14=3x+2
Move all terms that don't contain x to the right side and solve.