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:
975 milliliters (975 ml)
Step-by-step explanation:
Jonah had to pack up in 2 containers (soup he had left over)
The total amount Jonah pack up is the sum of the amount he packs up in large and small container, respectively.
Jonah packs 700 ml in large
Jonah packs 275 ml in small
Total = 700 + 275 = 975 milliliters (975 ml)
Answer:
9x+14y
Step-by-step explanation:
First Multiply the number outside of the brackets with the numbers inside the brackets. Ex:3 x 3x and 3 x -y
17y-2x+3(3x-y)+2x
That should get you to this.
17y-2x+9x-3y+2x
Next combine like terms.
14y+9x
Hope this helps!
Answer:
Option D is the correct answer
Step-by-step explanation:
![(3 {m}^{ - 4} )^{3} (3 {m}^{5} ) \\ \\ = {3}^{3} {m}^{ - 4 \times 3} \times 3 {m}^{5} \\ \\ = 27 \times 3 \times {m}^{ - 12 + 5} \\ \\ = 81 {m}^{ - 7} \\ \\ = \frac{81}{ {m}^{7} }](https://tex.z-dn.net/?f=%283%20%7Bm%7D%5E%7B%20-%204%7D%20%29%5E%7B3%7D%20%283%20%7Bm%7D%5E%7B5%7D%20%29%20%5C%5C%20%20%5C%5C%20%20%3D%20%20%7B3%7D%5E%7B3%7D%20%20%7Bm%7D%5E%7B%20-%204%20%5Ctimes%203%7D%20%20%5Ctimes%203%20%7Bm%7D%5E%7B5%7D%20%20%5C%5C%20%20%5C%5C%20%20%3D%2027%20%5Ctimes%203%20%5Ctimes%20%20%7Bm%7D%5E%7B%20-%2012%20%2B%205%7D%20%20%5C%5C%20%20%5C%5C%20%20%3D%2081%20%7Bm%7D%5E%7B%20-%207%7D%20%20%5C%5C%20%20%5C%5C%20%20%3D%20%20%5Cfrac%7B81%7D%7B%20%7Bm%7D%5E%7B7%7D%20%7D%20)