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,
The value of sin 30 degree is 0.5
Answer:
A = x⁵ + 13x³ - 9x² + 40x - 72
Step-by-step explanation:
The formula for the area of a rectangle is length X width, or A = lw.
Substitute the equations for the sides into the formula:
A = lw
A = (x² + 8)(x³ + 5x - 9) <= use the distributive property
A = x⁵ + 5x³ -9x² + 8x³ + 40x - 72 <= collect like terms
A = x⁵ + 13x³ - 9x² + 40x - 72
Answer:
12% of 60, 400% of 18, 55% of 220
Step-by-step explanation:
12% of 60 =7.2
55% of 220 = 121
400% of 18 = 72
7.2, 72, 121
Take how much was added, divide by how much you originally had. 100-80=20. 20/80= 25%
We are asked for the number of <span>six-digit odd numbers that can be formed. the left-most digit should not be zero because it make the number -five digit already. An odd number ends only in 1, 3, 5, 7 and 9. Using counting, the 6th digit can only have 5 numbers, the 5th, 4th, 3rd, and 2nd can have, 10 numbers. The first number can only have 9 numbers. Hence the total number is 450,000</span>