<h3>
Answer:</h3>
<u><em>The height of the rectangular prism is </em></u><u><em>2 yards in length.</em></u>
<h3>
Step-by-step explanation:</h3>
By knowing that the volume of a rectangular prism is length * width * height, it is rather simple to find the answer.
Firstly, you'll multiply the lengths that you already know.
(length * width)
<em>3/4 * 1/3 ---> 0.25 or 1/4</em>
Next, you'll divide the volume by this amount to find the unknown height.
<em>1/2 ÷ 1/4 ---> 2</em>
Your height would be 2 yards in length.
1/4 = 5/20
2/5 = 8/20
8/20 + 5/20 = 13/20 has been spent
Answer:
5.36
Step-by-step explanation:
Given that:
<BAD = <CAE, therefore, BD = EC
Let's take x to be the length of BD = EC
BD + DE + EC = BC
BC = 20,
BD = EC = x
DE ≈ 9.28
Thus,
x + 9.28 + x = 20
x + x + 9.28 = 20
2x + 9.28 = 20
Subtract 9.28 from both sides
2x + 9.28 - 9.28 = 20 - 9.28
2x = 10.72
Divided both sides by 2 to solve for x



BD ≈ 5.36
Answer:
The standard for would be y = -3x^2 - 24x - 46
Step-by-step explanation:
To get this to standard form, start by squaring the parenthesis.
y - 2 = -3(x + 4)^2
y - 2 = -3(x^2 + 8x + 16)
Now distribute the -3
y - 2 = -3x^2 - 24x - 48
Now add the 2 to both sides
y = -3x^2 - 24x - 46
Answer:
C. They are similar because their corresponding angles are congruent and their corresponding side lengths are proportional.