1⁄4 x 21 (Step by step/show you’re work)
1 answer:
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Answer:
9 inches
Step-by-step explanation:
The formula for the volume of a rectangular pyramid is
- Here we have volume (V), base (L), and width (W)
- V = 360 in³, L = 12 in, W = 10 in
We need to manipulate the volume equation to solve for the height (H)
- First we need to multiply both sides by 3 to get rid of the fraction: 3V = L×W×H
- Then we need to divide both sides by (L×W) to get:
Now we can plug in the given values:
- The height is 9 inches
The exterior angles to any convex polygon sum to 360 degrees in measure, so that for a regular dodecagon (12-gon) each exterior angle has measure
Exterior angles are complementary to interior angles, which means each interior angle has measure
The general form of exponential function ⇒⇒ 
Where: a is the initial value and b is the rate
b > 1 ⇒⇒ exponential growth or exponential increase
b < 1 ⇒⇒ exponential decay or exponential decrease
Given: The initial population = 820
The annual rate = 23% = 0.23
The total ration between the adjacent years = 1+0.23 = 1.23
So, the exponential function to model this population is
After 3 years ⇒⇒⇒ x = 3
∴
≈ 1,526
The correct answer is:
; 1,526
Where: a is the initial value and b is the rate
b > 1 ⇒⇒ exponential growth or exponential increase
b < 1 ⇒⇒ exponential decay or exponential decrease
Given: The initial population = 820
The annual rate = 23% = 0.23
The total ration between the adjacent years = 1+0.23 = 1.23
So, the exponential function to model this population is
After 3 years ⇒⇒⇒ x = 3
∴
The correct answer is: