Answer
Find out the length of the pole .
To proof
As given
The pole casts a 12-foot shadow when the sun is at a 40° angle of elevation.
x represented the length of pole .
As shown in the diagram
By using the trignometric identity
tan40° = 0.839099631 ( approx )
Put in the above
x = 12 × 0.839099631
x = 10.1 foot (approx)
Therefore the length of the pole in 10.1 foot (approx) .
Answer:
see below
Step-by-step explanation:
List the coefficients and constant for an equation in one row of the matrix. The variables should be in the same order. Any missing terms are replaced by zero.
![\left[\begin{array}{ccc|c}9&-4&-5&9\\7&4&-4&-1\\6&-6&1&-5\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Cc%7D9%26-4%26-5%269%5C%5C7%264%26-4%26-1%5C%5C6%26-6%261%26-5%5Cend%7Barray%7D%5Cright%5D)
Answer:
Since the 'base' and 'top' of any prism have the same shape, the surface area can be found by
surface area of prism = 2 * area of base + perimeter of base * H
So for the rectangular prism in your example..
surface area = 2LW + 2(L+W)H
= 2 * 7 * 4 + 2*(7+4)*5
= 56 + 2 * 11 * 5
= 56 +110
= 166 sq cm
Hope this helps
Answer:
x = 55 or x = 15
Step-by-step explanation:
Solve Absolute Value.
We know that either 1/5x - 7 = 4 or 1/5x - 7 = -4.
1/5x - 7 = 4
1/5x - 7 + 7 = 4 + 7
1/5x = 11
1/5x (5) = 11 (5)
x = 55 (one possibility)
1/5x - 7 = -4
1/5x - 7 + 7 = -4 + 7
1/5x = 3
1/5x (5) = 3 (5)
x = 15 (second possibility)
