Answer:
A) 3; B) 1116 m²; C) 24 m³; D) 1/27
Step-by-step explanation:
A) Scale factor
The scale factor is the ratio of the heights of the two pyramids.
h₂/h₁ = 24/8 = 3
B) Surface area
The ratio of the surface areas is the square of the scale factor.
A₂/A₁ = 3²
A₂/124 = 9
A₂ = 124 × 9 = 1116 m²
The volume of the larger pyramid is 1116 m².
C) Volume
The ratio of the volumes is the cube of the scale factor.
V₂/V₁ = 3³
648/V₁ = 27
648 = 27V₁
V₁ = 648/27 = 24 m³
The volume of the smaller pyramid is 24 m³.
D) Volume ratio
V₁/V₂ = 24/648 = 1/27
The volume ratio is 1/27.
Rewrite the length of the movie as an improper fraction.
2 1/3 = 7/3
Now multiply the length of the movie by 3/4
7/3 x 3/4 = (7 x3) / (3 x 4) = 21/12 = 1 3/4 hours
Answer: 20 = right triangle 21 = acute 22 = obtuse
Step-by-step explanation:
20 - Because there is a right angle/ 90 degree angle
21 - Because all the angles are less that 90 degrees which makes them acute.
22 - Because all the angles are more than 90 which makes them obtuse.
B and C are both x-intercepts
An x-intercept occurs anywhere that a line or point touches the x-axis while y=0. With these answer choices, B and C are both values that happen on the x-axis, while y is equaling 0.
