Answer:
Option D
Pyramid
Step-by-step explanation:
The clause that gave away the answer is "<em>three-dimensional solid consisting of a base that can be any polygon"</em>
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Scanning through the options, we can see that the only option that fits the description is the pyramid.
The pyramid is the only three-dimensional shape amongst the options that can take any polygon as a base.
<em>The other options get screened out here.</em>
A cube must have a square base.
A triangular prism must have a triangular base
A rectangular prism must have a rectangular base
Thus, option D: The Pyramid is the correct answer.
<span>The vertical asymptotes of the function cosecant are determined by the points that are not in the domain.</span>
First, we know the formula to find the area of a square is A=s^2 where s= side length. Since we have the area, we can solve for s: 81=s^2. To solve for s, you would take the square root of both sides to get s=9. Then, we know the formula for the perimeter of a square is P=s*4. Since we now have s, we can solve for P: P=9*4 or P=36 feet which is the final answer.
Answer:
8 years
Step-by-step explanation:
100e^(.05t) = 150 . . . . . a better model of the situation
e^(.05t) = 150/100 . . . . divide by 100
0.05t = ln(1.5) . . . . . . . . take natural logs
t = ln(1.5)/0.05 ≈ 8.11 . . . . divide by the coefficient of t
The money has been invested for about 8 years.
Answer:
y > -5/4
Step-by-step explanation:
12 > -4y + 7
Subtract 7 from both sides:
5 > -4y
Divide both sides by -4 (remember to flip the sign when multiplying or dividing by a negative number):
-5/4 < y
Here's another way to solve it. First, add 4y to both sides.
12 + 4y > 7
Subtract 12 from both sides:
4y > -5
Divide by 4:
y > -5/4
