Answer:
56√93 ≈ 540 ft²
Step-by-step explanation:
The roof is made up of 4 congruent isosceles triangles. Since the roof extends 2 ft over the edge of the cottage on each side, then the base of each triangle is 26 + 2 = 28 ft.
Let's calculate the area of one of the triangles and then just multiply by 4. See attachment. Drop a perpendicular from the vertex of a triangle to its base. We now have the triangle broken up into two right triangles. The hypotenuse is 17 ft and one of the legs of the right triangle is 28 / 2 = 14 ft. Then the height / other leg is:
We now have the dimensions of each triangle: the height is √93 and the base is 28. The area of a triangle is: A = (1/2) * b * h, so we have the following.
A = (1/2) * b * h
A = (1/2) * 28 * √93 = 14√93
Multiply this by 4:
14√93 * 4 = 56√93
The total surface area is 56√93 ≈ 540 ft².
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Step-by-step explanation:
I’ll use 1/2 for each Just multiply the 1/2 by the 8
Hello there! Your answer should be 4 mph. Reasoning:
2 = (20 - x) * t
3 = (20 + x ) * t
Time is the same for both equations. Solve for T.
2/(20-x) = 3/(20+x)
the answer is 4 mph.
Please tell me if I was right!
By representing the equation is written in the form y = ax + b .
The value of b is 8.
According to the question
A start-up company opened with 8 employees.
So, Number of employees = 8
At zero quarter = 8
The company’s growth plan assumes that 2 new employees will be hired each quarter
After 1 quarter = Number of employees + 2 new employees
After one quarter = 8 + 2 = 10
Equation is written in the form y = ax + b to represent the number of employees, y, employed by the company x quarters after the company opened
y = ax + b
10 = 2 × 1 + b
10 = 2 + b
Subtract 2 on both sides of the equation
b = 10 - 2
b = 8
The value of b is 8.
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