Answer:
62.4 ft²
Step-by-step explanation:
The unmarked horizontal dimension at the bottom of the triangle is ...
(8 ft)sin(30°) = 4 ft
The unmarked vertical dimension of the triangle (the height of the trapezoid) is ...
(8 ft)cos(30°) ≈ 6.93 ft
Then the area of the trapezoid is given by the formula ...
A = (1/2)(b1 +b2)h
A = (1/2)((4 ft+7 ft) +(7 ft))(6.93 ft) ≈ 62.4 ft²
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The mnemonic SOH CAH TOA can remind you of the relationships between right triangle dimensions and angles.
Sin = Opposite/Hypotenuse ⇒ Hypotenuse×Sin = Opposite
Cos = Adjacent/Hypotenuse ⇒ Hypotenuse×Cos = Adjacent
Answer:
<h3>x = 27</h3>
Step-by-step explanation:
Given the expression 
, we are to find the value of x in the expression. This is as shown below;
add 22 to both sides
divide both sides by 2
raise both sides to the power of 3/5
![(x^{5/3})^{3/5} = (243)^{3/5}\\x = (\sqrt[5]{243}) ^3\\x = 3^3\\x = 27](https://tex.z-dn.net/?f=%28x%5E%7B5%2F3%7D%29%5E%7B3%2F5%7D%20%3D%20%28243%29%5E%7B3%2F5%7D%5C%5Cx%20%3D%20%28%5Csqrt%5B5%5D%7B243%7D%29%20%5E3%5C%5Cx%20%3D%203%5E3%5C%5Cx%20%3D%2027)
Hence the value of x is 27
Answer:
Step-by-step explanation:
Six times a number is decreased by fourteen, the result is 124.
Write an equation that represents this
(6 * x) - 14 = 124
Multiply 6 by x to remove the parenthesis
6x - 14 = 124
Add 14 to both sides of the equation
6x = 138
Divide both sides of the equation by 6
x = 23
The unknown number is
Hope this helps :)
If you are evaluating the answer is -41
The correct answer to this is “True”.
Symmetry signifies balance and form. An object with
rotational symmetry will still look the same after a rotation. Since it maintains
its shape and figure after being rotated, therefore its characteristics such as
length of the diagonals, the angles of each corner, or parallelism of opposite
sides will remain the same.
