The length of the support post is 40 ft.
<u>Solution:</u>
Given, the height of the wall is 20 ft; support post forms 30 degree
Refer the attached image
Let us name the triangle as ABC where AB is the wall (opposite side) of 20 ft and
is 30 degree (
) and AC is the length of the post.
To find: The length of the post (AC)
we know the formula,
(trigonometric formula)
On substituting the values we get,
![\Rightarrow sin(30^{\circ})=\frac{20}{AC}](https://tex.z-dn.net/?f=%5CRightarrow%20sin%2830%5E%7B%5Ccirc%7D%29%3D%5Cfrac%7B20%7D%7BAC%7D)
The value of sin 30 degree is 0.5
![\Rightarrow 0.5=\frac{20}{AC}\rightarrow AC=\frac{20}{0.5}\rightarrow AC=40 ft](https://tex.z-dn.net/?f=%5CRightarrow%200.5%3D%5Cfrac%7B20%7D%7BAC%7D%5Crightarrow%20AC%3D%5Cfrac%7B20%7D%7B0.5%7D%5Crightarrow%20AC%3D40%20ft)
Answer:
True
Step-by-step explanation:
This is just a general property to know, I don't want to prove it LOL
The volume would be, 24.
:)
The square root of 6 is 2.44 +
Square root of 30 is 5.47
So 2.44 + 5.47 is 4.01
Your answer is 4.01
Square root of 36 is 6
So 6+ 6 is 12
Your answer is 12
Hope this helps *smiles*
Hey!
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Points:
(-2, 3) and (3, 0)
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Find the slope:
![= \frac{y2 - y1}{x2 - x1} \\=\frac{0 - 3}{3 - (-2)}\\= \frac{-3}{5} or -0.8](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7By2%20-%20y1%7D%7Bx2%20-%20x1%7D%20%5C%5C%3D%5Cfrac%7B0%20-%203%7D%7B3%20-%20%28-2%29%7D%5C%5C%3D%20%5Cfrac%7B-3%7D%7B5%7D%20or%20-0.8)
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Slope Intercept Form:
y = mx + b
m = slope
b = y-intercept
Slope = -3/5
Y-intercept = 9/5
Answer: y = -3/5 + 9/5
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Point Slope Form:
y - y1 = m(x - x1)
You can use either of the points.
Answer:
y - 3 = -3/5(x - 2)
or
y - 0 = -3/5(x - 3)
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Hope This Helped! Good Luck!