Answer: There are 15 boards that she can make from a 5 ft board.
Step-by-step explanation:
Since we have given that
Length of a board = 5 ft
Length of board she can make from the above board is given by
We need to find the number of boards she can make from a 5 ft board.
According to question,
Hence, there are 15 boards that she can make from a 5 ft board.
9514 1404 393
Answer:
shaded/square = (50π cm²)/(400 cm²) = π/8
Step-by-step explanation:
The quarter circle has area ...
A = (1/4)(πr²) = π/4(20 cm)² = 100π cm²
The half-circle has area ...
A = (1/2)(πr²) = π/2(10 cm)² = 50π cm²
Then the area of the shaded portion is ...
shaded = 100π cm² -50π cm² = 50π cm²
__
The area of the square is ...
A = s² = (20 cm)² = 400 cm²
Then the ratio of interest is ...
shaded/square = (50π cm²)/(400 cm²) = π/8
<span>Simplifying
6(x + 1) + 5 = 13 + -2 + 6x
Reorder the terms:
6(1 + x) + 5 = 13 + -2 + 6x
(1 * 6 + x * 6) + 5 = 13 + -2 + 6x
(6 + 6x) + 5 = 13 + -2 + 6x
Reorder the terms:
6 + 5 + 6x = 13 + -2 + 6x
Combine like terms: 6 + 5 = 11
11 + 6x = 13 + -2 + 6x
Combine like terms: 13 + -2 = 11
11 + 6x = 11 + 6x
Add '-11' to each side of the equation.
11 + -11 + 6x = 11 + -11 + 6x
Combine like terms: 11 + -11 = 0
0 + 6x = 11 + -11 + 6x
6x = 11 + -11 + 6x
Combine like terms: 11 + -11 = 0
6x = 0 + 6x
6x = 6x
Add '-6x' to each side of the equation.
6x + -6x = 6x + -6x
Combine like terms: 6x + -6x = 0
0 = 6x + -6x
Combine like terms: 6x + -6x = 0
0 = 0
Solving
0 = 0
Couldn't find a variable to solve for.
This equation is an identity, all real numbers are solutions.</span>
the the negative angle is -(2π-π/4)= -\frac{7 \pi }{4}
The answer would be 8 + 3x
