Answer:
x = 35 degrees
Step-by-step explanation:
∠BCA = ∠DAF because they are corresponding angles.
∠BCA + 42 + 103 = 180 (angles in a triangle = 180)
∠BCA = 180 - (42+103)
∠BCA = 35
∠BCA = x (corresponding angles)
x = 35
Let x represent the side length of the base.
The area of the base and roof are each x^2, so their cost together will be
.. (8 +9)x^2 = 17x^2
The height of the shed will be 125/x^2, so the area of one side will be
.. (125/x^2)*x*8.50
and the area of all four sides will be
.. 4*125/x*8.50 = 4250/x
So, the total cost is the cost of top and bottom together with the cost of the sides:
.. cost = 17x^2 +4250/x
This is minimized when its derivative with respect to x is zero.
.. d(cost)/dx = 0 = 2*17x -4250/x^2
.. 4250/34 = x^3
.. x = ∛125 = 5
The most economical shed is a 5 ft cube.
Answer:
56x
Step-by-step explanation:
Think of it an a triangle and a rectangle. The area of the rectangle is obviously 13 x 4x, which is 52x
for triangle, the hypotenuse is C, Right hand side is B and the side that is in the shape is B.
Area of triangle = (bh) / 2
B = 13 - 9, so B = 4
A = 6x - 4x, so A = 2x
the area is 2x x 4, which is 8x.
8x / 2 = 4x
The area is 4x + 52x, so the final answer is 56x
Answer:
Each side of the field is <u>9 yards</u> long.
The correct answer is Ⓑ 9 yd.
Step-by-step explanation:
Given:
A square field has an area of 81 square yards.
Now, to get the length of each side of the field.
As, the square field is having an area of 81 square yards.
Now, to get the side of the square field we put formula:
Therefore, each side of the field is 9 yards long.
The correct answer is Ⓑ 9 yd.
Answer:
1/48 cups of sugar in one muffin
Step-by-step explanation:
We're essentially looking for the unit rate.
Thus, we can simply do (1/2) / 24, which is 1/48.
