Answer:
320 cubic feet
Step-by-step explanation:
The volume is proportional to the product of the area of the base and the height of the pyramid. When the dimensions of the base are doubled, the area is multiplied by 2² = 4, hence the volume of the pyramid will be multiplied by 4.
4 × (80 ft³) = 320 ft³
The new volume of the pyramid is 320 cubic feet.
Answer: 153.56
Step-by-step explanation:
Hi, to answer this question we have to apply the next formulas:
Volume of a cone: 1/3 π r² h
Where r is the radius and h is the height (unknown)
Diameter = r x 2
8 = 2r
8/2 =r
r = 4
Before calculating the volume we have to apply the Pythagorean Theorem to find h. (where the slant is the hypotenuse and h and r are the sides of the triangle)
10 ² = h² + 4²
Solving for h
100 = h² + 16
100-16 = h²
84= h²
√84 =h
9.16= h
Back on the volume formula:
V= 1/3 π r² h
V =1/3 π 4² (9.16) =153.56
Answer: C, 12 units on edge
Step-by-step explanation:
A point (-0.8, 0.6) will be a point on the unit circle in the second quadrant. Since it is a unit circle, its radius is 1, and we have
sin(α) = y = 0.6
cos(α) = x = -0.8
tan(α) = y/x = 0.6/-0.8 = -0.75
The angle is α = arccos(-0.8) ≈ 143.13°
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For the unit circle, the trig values are always the coordinates or their ratio as shown above, regardless of quadrant.
Answer:
2.7 x 5.2 = 14.04
Step-by-step explanation:
