Step-by-step explanation:
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Answer:
The area of the window will be equal to 195 sq. inches.
Step-by-step explanation:
On a boat, a cabin's window is in the shape of an isosceles trapezoid.
The longer side parallel side is at the bottom.
The top side of the trapezoid is 10 inches and the height is 15 inches and the base of the triangle formed from the height on the right is labeled 3 inches.
So, the bottom parallel side has length of (10 + 3 + 3) = 16 inches.
Therefore, the area of the window will be equal to
sq. inches. (Answer)
Answer:
(3, - 1 )
Step-by-step explanation:
Given the 2 equations
x - 3y = 6 → (1)
2x + 2y = 4 → (2)
Rearrange (1) expressing x in terms of y by adding 3y to both sides
x = 6 + 3y → (3)
Substitute x = 6 + 3y into (2)
2(6 + 3y) + 2y = 4 ← distribute and simplify left side
12 + 6y + 2y = 4
12 + 8y = 4 ( subtract 12 from both sides )
8y = - 8 ( divide both sides by 8 )
y = - 1
Substitute y = - 1 into (3) for corresponding value of x
x = 6 + 3(- 1) = 6 - 3 = 3
Solution is (3, - 1 )
Step-by-step explanation:
By phythagorous theorem,
AC²=AB²+BC²
AC²=36+64
AC²=100
AC=root of 100
AC=10