Let the area of the original rectangle be A₁.
A₁ = (12 ft)(8 feet) = 96 ft²
To determine the area of the reduced triangle, let's compute the new dimensions first.
Length = 12 ft * 3/4 - 9 ft
Width = 8 ft *3/4 = 6 ft
Thus, the area of the new rectangle denoted as A₂ is
A₂ = (9 ft)(6 ft) = 54 ft
The ratio of the areas are:
A₂/A₁ = 54/96 = 9/16
The ratio of the sides are given to be 3/4.
Finally the ratios of the area to side would be:
Ratio = 9/16 ÷ 3/4 = 3/4
Therefore, the ratio of the areas is 3/4 of the ratio of the corresponding sides.
Answer:
563673773837737477377374
Step-by-step explanation:
JK
Answer:
B. 5x + 25 > 75
Step-by-step explanation:
Points available = 25
Additional points earned per puzzle =5
He will advance to the next round if his score is over 75 points.
This means, he will move unto the next stage of his points exceeds 75 or greater than 75
The inequality is:
25 + 5x > 75
It can also be written as
5x + 25 > 75
The correct answer is B. 5x + 25 > 75
5x + 25 > 75
5x > 75 - 25
5x > 50
x > 50 / 5
x > 10
A. 5x + 25 < 75
B. 5x + 25 > 75
C. 25x + 5 > 75
D. 5x + 75 < 25
Answer:
x^3-8x^2-5x+84
Step-by-step explanation:
The polynomial can be found by expanding (x+3)(x-4)(x-7)=x^3-8x^2-5x+84
Making some calculation the change si 25.57%
