A hotel has $4,695 to buy new pillows. If the cost of each pillow is $5, how many pillows will the hotel be able to buy?
2 answers:
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Refer to the attachment for the diagram of the problem.
Let us call the two identical sides of the isosceles triangle with s. Since we know that the hypotenuse measures 45 inches, we can find s by using the Pythagorean Theorem:
We can notice that the figure will have similar triangles with the smaller triangle having one length equal to 5x. We then compute for the equivalent hypotenuse of the smaller triangle (denoted as y).
We can then solve for the value of x by applying the Pythagorean Theorem in the smaller triangle.
We ignore the negative value since there is no negative side. x is therefore 4.55 thus the dimensions of the rectangle would be 22.75 and 9.1. For the other case, the dimensions would simply be inverted since we would be dealing with a rectangle with its width longer than its length.
Let us call the two identical sides of the isosceles triangle with s. Since we know that the hypotenuse measures 45 inches, we can find s by using the Pythagorean Theorem:
We can notice that the figure will have similar triangles with the smaller triangle having one length equal to 5x. We then compute for the equivalent hypotenuse of the smaller triangle (denoted as y).
We can then solve for the value of x by applying the Pythagorean Theorem in the smaller triangle.
We ignore the negative value since there is no negative side. x is therefore 4.55 thus the dimensions of the rectangle would be 22.75 and 9.1. For the other case, the dimensions would simply be inverted since we would be dealing with a rectangle with its width longer than its length.
Answer:
The height of the pan is 2 inches.
Step-by-step explanation:
Given : Paul bags of raisin bars in a pan shaped like a rectangle or prism the volume of the pan is 252 in.³ the length of the pants 12 inches and it's with is inches.
To find : What is the height of the pan ?
Solution :
The volume of a rectangle or prism is
Where, l=12 inches is the length
inches is the width
V=252 in.³ is the volume
h is the height
Substitute the value,
Therefore, the height of the pan is 2 inches.