Answer:
36 ft by 16 ft
Step-by-step explanation:
To solve this problem, you need to find dimensions of a rectangle such that the perimeter is 104 ft and the area is 576 ft. The perimeter is twice the sum of length and width, so the sum of length and width is 52 ft.
The area is the product of length and width, so if w represents the width, we have ...
w(52 -w) = 576
w² -52w = -576 . . . . . eliminate parentheses, multiply by -1
w² -52w +26² = 26² -576 . . . . . . complete the square
(w -26)² = 676 -576 = 100
w = 26 ±√100 = {16, 36}
If the width is the short dimension, it is 16 feet. Then the length is 36 feet.
Answer:
width is 6 ft, length is 24 ft
Step-by-step explanation:
We can set up 2 equations to help us solve this.
Equation 1: "The area is 144 square feet" gives us
LW = 144 (area of a rectangle)
Equation 2: "the width is 1\4 of the length" give us
W = L/4
We can plug the second equation into the first equation...
Since W = L/4, we get
L(L/4) = 144 (W becomes L/4)
Now solve for L
L²/4 = 144
L² = 624 (multiply both sides by 4)
L = 24 ft (take the square root of each side)
Since L = 24, and W = L/4,
W = 24/6, so W = 6 ft
Answer:
Step-by-step explanation:
one circle, lets name it x, Circumference(x)=2*3.14*r= 3.14*d, where d is the diameter
C=2*11*3.14
circle y= Circumference(y)=3.14*2*4
ratio of the radii
C(x)/C(y)=(2*11*3.14)/(2*4*3.14)=11/4= 2 3/4
Amount of the job done after 2 hours:
2(1/6 + 1/8)
2(4/24 + 3/24)
2(7/24)
7/12 (amount of job finished)
.
amount of job left to do:
1 - 7/12
12/12 - 7/12
5/12 (remaining)
.
Let x = time (hours) slower press takes to finish job
then
x(1/6) = 5/12
multiplying both sides by 6:
x = 5/12 *6
x = 5/2 hours
or
x = 2 hours and 30 minutes
The slower press (8-hour press), will take h 3 hours, 20 minutes to complete the job
The equation 7x + 3x - 18 = 6(x+3) is 9
<h3>What is equation?</h3>
An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
given:
7x + 3x - 18 = 6(x+3)
7x + 3x - 18 = 6x+18 [Distributive Property]
10x-18= 6x+18 [Addition Property of Equality]
10x-6x= 18+18 [Combine Like Terms ]
4x=36 [Subtraction Property of Equality]
4*x=36 [Multiplication Property of Equality]
x=36/4 [Division Property of Equality]
x=9
Learn more about equation here:
brainly.com/question/10413253
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