6. Rectangle ABCD is shown above. AB = 3x+8, and CD = 2x+13. Find x.
1 answer:
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Given
A cylindrical bin with a diameter of 15 feet 3 inches and a height of 24 feet 4 inches is used to hold wheat.
One cubic foot holds 0.804 bushels
Find out bushels of wheat can be stored.
To proof
Formula
where r is the radius and h represent the height.
As given in the question
diameter = 15 feet 3 inches
height = 24 feet 4 inches
First convert inches into feet
I inches = 0.083 feet
15 feet 3 inches = 15 + 3 × 0.083
= 15.25 feet
Diameter = 15.25 feet
24 feet 4 inches = 24 + 4 ×0.083
= 24.33 feet
Height = 24.33 feet
Radius = 7.63 feet
Put all the value in the above formula.
we get
Volume of the cylinder = 3.14× 7.63× 7.63× 24.33
= 4447.55 foot³ ( approx)
As given
One cubic foot holds 0.804 bushels
Total bushels of wheat can be stored = 4447.55×0.804
= 3575.83 ( approx)
Total bhushels of wheat stored are 3575.83 ( approx).
Hence proved
Answer:
Step-by-step explanation:
Since, here the length of the rectangle is represented by the function l(x) = x + 24,
While the breadth of the rectangle is represented by the function w(x) = x + 16.
And, we know that the area of the rectangle = length of the rectangle l(x) × breadth of the rectangle.
a(x) = l(x) × w(x)
a(x) = (x + 24) × (x + 16)