HELP PLEASE!!The cross sections shown above are from a rectangular prism.
Cross section A is from a plane that is parallel to the base cutting through the prism. Cross section A has an area of 90 units squared.
Cross section B is from a plane that is perpendicular to the base and parallel to the sides of the prism cutting through the prism. Cross section B has an area of 50 units squared.
Cross section C is from a plane that is perpendicular to the base and parallel to the front of the prism cutting through the prism. Cross section C has an area of 45 units squared.
The prism in which the cross sections were taken has a length of
units, width of
units, and a height of
units.
Answers
The rectangular prism has a length of 9 units, a width of 10 units (since width = 90 / length), and a height of 5 units (since height = (5/9) length).
What is the area of a rectangle?
A rectangle is a quadrilateral with four right angles (90-degree angles) and opposite sides that are parallel and congruent (equal in length). The area of a rectangle is defined as the amount of space that is enclosed by its two-dimensional shape, and it can be calculated by multiplying the length of the rectangle by its width. The formula for the area of a rectangle is:
Based on the given information, we can determine the dimensions of the rectangular prism as follows:
Cross section A has an area of 90 square units, which is equal to the area of the base of the prism. Since the base of the prism is a rectangle, we can use the formula for the area of a rectangle to find its dimensions:
90 = length x width
Cross section B has an area of 50 square units, which is equal to the area of one of the sides of the prism. Since the sides of the prism are also rectangles, we can use the formula for the area of a rectangle to find its dimensions:
50 = height x width
Cross section C has an area of 45 square units, which is equal to the area of the front of the prism. Since the front of the prism is also a rectangle, we can use the formula for the area of a rectangle to find its dimensions:
45 = length x height
We now have three equations with three unknowns, which we can solve for to find the dimensions of the prism:
90 = length x width
50 = height x width
45 = length x height
Solving for width in the first equation gives us:
width = 90 / length
Substituting this into the second equation gives us:
50 = height x (90 / length)
Solving for height gives us:
height = 50 x (length / 90) = (5/9) length
Substituting this into the third equation gives us:
45 = length x (5/9) length = (5/9) length²
Solving for length gives us:
length² = (9/5) x 45 = 81
length = √(81) = 9
Therefore, the rectangular prism has a length of 9 units, a width of 10 units (since width = 90 / length), and a height of 5 units (since height = (5/9) length).
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In this case, since the slope is 4 and the y-int. is -3, our equation must be
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By plugging these values into the slope intercept form: y=mx+b I came up with the previous answer-y=4x-3
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Answers
Answer:
x = 1/4
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Answers
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Answers
28 is 35 percent of 80.
To find out what percent 28 is of 80, we can use the following formula:
(percent/100) × whole = part
In this case, 28 is the part and 80 is the whole.
Let's substitute the values into the formula:
(percent/100) × 80 = 28
To isolate the percent, we can divide both sides of the equation by 80:
(percent/100) = 28/80
Simplifying the right side of the equation:
(percent/100) = 0.35
Now, to solve for percent, we can multiply both sides of the equation by 100:
percent = 0.35 × 100
percent = 35
Therefore, 28 is 35 percent of 80.
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