Answer: ST is equal to 12
Step-by-step explanation:
If RU is equal to 24 as a whole and we are given that RS and TU are equal to 6 then we could set up an equation and solve for ST.
6 + 6 +x = 24 where x is the length of ST
12 + x = 24
-12 -12
x = 12
The given triangle is a <em><u>Right</u></em><em><u> </u></em><em><u>angled</u></em><em><u> </u></em><em><u>triangle</u></em><em><u> </u></em>
<em><u>So</u></em><em><u>,</u></em><em><u> </u></em>by applying<em><u> Pythagoras theorem</u></em> :
here's the solution,
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value of b = 12 yards
Recall the double angle identity,
sin(2x) = 2 sin(x) cos(x)
Then we can write
sin(9x) cos(9x) = 1/2 sin(2 • 9x) = 1/2 sin(18x)
Then
∫ sin(9x) cos(9x) dx
= 1/2 ∫ sin(18x) dx
= -1/2 • 1/18 cos(18x) + C
= -1/36 cos(18x) + C
though you could continue with another double angle identity,
cos(2x) = cos²(x) - sin²(x)
to rewrite the antiderivative as
= -1/36 (cos²(9x) - sin²(9x)) + C
= 1/36 (sin²(9x) - cos²(9x)) + C
Reed will pay A. $122.50.
Answer:
Area of geometric figures mentioned calculated.
Step-by-step explanation:
Square Perimeter = 4 x sides of square = 20. So, each equal side of square = 20 / 4 = 5
Area of square = ( Side )^2 = ( 5 )^2 = 25
Area of triangle = 1/2 (Base) (Height) = 1/2 x 3 x 3.5 = 5.25
