Answer: 18 cm^2
Step-by-step explanation:
There are four equal triangle and a rectangle.
Formula of a rectangle = b * h = 2*3 = 6
Formula of triangle = 
but there four of them so we times them by 4, this leaves us with 2 (b * h) = 2(2*3) = 12
Area of pentagon = area of all triangles + rectangle
Area of pentagon = 12 + 6 = 18
Hope this helps.
Answer:
Area of the parallelogram is approximately 4,456.2 square feet
Step-by-step explanation:
The lengths of the sides of the parallelogram are 65 feet and 87 feet
The measure of the angle between the sides, Y = 52°
The formula for finding the area of a parallelogram is given as follows;
Area of a parallelogram = A·B·sin(Y)
Where;
'A' and 'B' are the length of the parallel sides and 'Y' is the measure of the angle between them
Let 'A' and 'B' represent the 65 feet and the 87 feet respectively, we get;
Area of the parallelogram = 65 ft. × 87 ft. × sin(52°) ≈ 4,456.2 ft.²
Answer:
The value of x is ![2\sqrt[3]{2}](https://tex.z-dn.net/?f=2%5Csqrt%5B3%5D%7B2%7D)
Step-by-step explanation:
We are given 
We need to solve for x
First we subtract 2 both sides
Taking cube roots both sides to isolate x
![x=\sqrt[3]{16}](https://tex.z-dn.net/?f=x%3D%5Csqrt%5B3%5D%7B16%7D)
Simplify the radical
![x=2\sqrt[3]{2}](https://tex.z-dn.net/?f=x%3D2%5Csqrt%5B3%5D%7B2%7D)
Thus, The value of x is
Answer:
The answer is 10m + 7n - 14
Step-by-step explanation:
Q = 7m + 3n
R = 11 - 2m
S = n + 5
T = -m - 3n + 8
[Q - R] + [S - T] is
[ 7m + 3n - (11 - 2m) ] + [ n + 5 - ( - m - 3n+8)]
Solve the terms in the bracket first
That's
( 7m + 3n - 11 + 2m ) + ( n + 5 + m + 3n - 8)
( 9m + 3n - 11 ) + ( m + 4n - 3)
<u>Remove the brackets</u>
That's
9m + 3n - 11 + m + 4n - 3
<u>Group like terms</u>
9m + m + 3n + 4n - 11 - 3
The final answer is
<h3>
10m + 7n - 14</h3>
Hope this helps you
