Answer:
23ft
Step-by-step explanation:
Area of the rectangle = LW
L is the length
W is the width
Given
Area = 414ft²
If the length of this garden is 5 feet longer than its width, then;
L = W+5
Substitute into the formula
414 = (W+5)W
414 = W²+5W
W²+5W-414 = 0
W = -5±√5²-4(-414)/2
W = -5±√25+1656/2
W = -5±√1681/2
W = -5+41/2
W = 36/2
W = 18ft
Since L = W+5
L = 18+5
L = 23ft
Hence the length of the rectangle is 23ft
Answer:
Step-by-step explanation:
For part a :
The circumference of the circle is given by the formula 2πr. We are given r so we double r and put it next to pi :
C = 2×π×r = 2×π×8 = 16π
For part b :
The area of a circle is given by the formula πr². We are given r so we square r and put it next to pi :
A = π×r² = π×8² = 64π
For part c :
The area of a square is given by the formula a² where a is the side length. This question requires an extra step as we don't have the length of the square. But we know that the diameter of the circle will be equal to the side of the length. The diameter of a circle is given by the formula 2r : so
D = 2r = 2×8 = 16
So the area of the square will equal :
A = 16² = 256
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Answer:
10) It increased by appoxamately 17%.
11) 255 decreased by 20%
12) 15 increased by 
%
13) $9,450
14) $149.8
15) $238.5
Step-by-step explanation:
10) 170 is greater than 150 by 25. 25 is 
% of 150, so it increased by appoxamately 17%.
11) 225 is decreased by 45. 45 is 20% of 100, so 255 decreased by 20%
12) 15 is increased by 10. 10 is of 15, so 15 increased by %
13) 5% of 9,000 is 450. 450 + 9,000 is $9,450
14) 7% of 140 is is 9.8. 140 + 9.8 = $149.8
15) 6% of 225 is 13.5. 225 + 13.5 = $238.5
I think it's c) the y-intercept would decrease
