Answer:
The length of the long side is 147 ft
The length of the short side is 30 ft
Step-by-step explanation:
L=5s-3
s= 324-2L
324=2(5s-3)+s
distribute
324=10s-6+s
simplify
324=11s-6
add 6 to both sides
330=11s
divide by 11
30=s
Plug in the s value to determine the length of the long side
The region inside one leaf of r the area of the region is pi.20.
r =cos5θ
cos5θ =0
5θ=pi/2 ,5θ=3pi/2
θ=pi/10,θ=3pi/10
area of one leaf = ∫[pi/10 to 3pi/10](1/2)r2dθ
= ∫[pi/10 to 3pi/10](1/2)(cos5θ)2dθ
= ∫[pi/10 to 3pi/10](1/4)(1+cos10θ)dθ
=[pi/10 to 3pi/10](1/4)(θ+ (1/10)sin10θ)
=(1/4)((3pi/10)+ (1/10)sin3pi) -(1/4)((pi/10)+ (1/10)sinpi)
=(1/4)(3pi/10) -(1/4)(pi/10)
=(1/4)(2pi/10)
=pi/20
area of one leaf =pi.20.
Region area (calculus) Region area. The non-negative function given by y = f(x) represents a smooth curve on the closed interval [a, b].The area through the curve of f(x), the x-axis, and the perpendicular lines x = a and x = b The bounding region shown in Figure 1 is given by.
Learn more about the area of the region here: brainly.com/question/19053586
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Answer:
20.78
Step-by-step explanation:
sin a = perpendicular/ hypotenuse
where a is the base angle
here a = 60
sin 60 = 18/ x
since,
√3 x = 36
x = 36/ √3
x = 36/ 1.732
x = 20.78
Just use distributive property (multiply 7 times 7k and 7 times -10 )
This equals 49k-70
Hope this helped :)
Answer:
FG = 31
Step-by-step explanation:
By applying mid-segment theorem in the given trapezoid,
Segment joining midpoints of the nonparallel sides is parallel and measure the half of the sum of parallel sides.
FG = ![\frac{1}{2}[UV+TW]](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%5BUV%2BTW%5D)
(7x - 4) = ![\frac{1}{2}[(6x-6)+38]](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%5B%286x-6%29%2B38%5D)
2(7x - 4) = 6x + 32
14x - 8 = 6x + 32
14x - 6x = 32 + 8
8x = 40
x = 5
Therefore, FG = (7x - 4)
= 7(5) - 4
= 31
