Answer:
length = 10
width = 5
Step-by-step explanation:
So first you divide 8 from 400 which equals 50.
Then so the length and the width has to equal 50 when they are times-ed, and the length is double the width.
So the length is 10
and the width is 5
Given that the volume of a rectangular prism is length x width x height, this problem can be solved by setting up the equation 2w * w * 8 = 400, where w is the width and 2w is the length. Solving this equation, we find that the width is 5 feet and the length is 10 feet.
In mathematics, the volume of a rectangular prism is given by the formula length x width x height. We are given that the volume of the storage container is 400 cubic feet, its height is 8 feet, and the length is twice the width. Let us denote the width as w, then the length is 2w.
From the given volume formula, we have:
Length x Width x Height = Volume
Substituting the values, we get:
2w * w * 8 = 400
Solving this equation, we find:
w^2 = 25
Taking the square root of both sides, we get:
w = 5
Substituting w=5 into 2w, we find the length:
Length = 2*5 = 10
So the width of the container is 5 feet and the length is 10 feet.
than 1.
Answer:
Because of the range of the sine function.
Step-by-step explanation:
The reason why the value of the sine ratio for an acute angle
of a right triangle must always be a positive value less
than 1 has to do with the the range of the sine function.
The range of the sine function is
But in the first quadrant all y-values are positive and acute angles are less than 90°.
Therefore the range will now be 0≤y<1 for acute angles.
Sample Response: The sine ratio is the length of the side opposite a given acute angle divided by the length of the hypotenuse. Because the hypotenuse is the side opposite the largest angle, the 90° angle, it has to be the longest side. Thus, the ratio will have a denominator that is larger than the numerator, and the ratio will be less than 1.
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Answer:
A. (x - 5)² = 36
Step-by-step explanation:
Step 1: Isolate x
x² - 10x = 11
Step 2: Complete the Square
x² - 10x + 25 = 11 + 25
(x - 5)² = 36
And we have our answer!