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Answer:
The Answer is 3 - sqrt7
Step-by-step explanation:
2/3 + sqrt7 the starting equation
You multiply it by the conjugate which is 3 - sqrt7
= 2(3 - sqrt7) / (3 + sqrt7) (3 - sqrt7) the equation after you multiply by 3 - sqrt7
(3 + sqrt7) (3 - sqrt7) = 2
= 2(3 - sqrt7) / 2 the equation after you simplify (3 + sqrt7) (3 - sqrt7)
Divide out the 2's
= 3 - sqrt7/1 the equation after you divide out the 2's
= 3 - sqrt7 is THE ANSWER

Start with the original expression.

Use the Distributive Property — multiply
by both
and
.

Combine the like terms — add up all the constants.

Reorder the terms.

Answer:
b. 58%
Step-by-step explanation:
Calculate the area of the entire rectangle using the formula A = lw.
The lowercase "L" is for length.
"w" is for width.
The lighter square is 10 units long by 5 inches wide.
A = lw
A = (10 in)(5 in) Multiply
A = 50 in²
Calculate the area for the shaded rectangle, 7 inches by 3 inches.
A = lw
A = (7 in)(3 in) Multiply
A = 21 in²
Calculate the area for the non-shaded region by subtracting the shaded area from the total area.
50 in² - 21 in² = 29 in²
The chance that a point in the large rectangle will NOT be in the shaded region is 29/50.
Convert this fraction to decimal form by using a calculator. Divide the top number by the bottom number.
29/50 = 0.58
0.58 is in decimal form. To convert it to a percentage, multiply the number by 100.
0.58 = 58%
Therefore the probability that a point chosen inside the large rectangle is not in the shaded region is 58%.