Answer: 42 feet
Step-by-step explanation:
Let the length be x
Therefore, width = 2/3x
Area = Length × Width
Therefore, x × 2/3x = 1176
2/3x² = 1176
Divide both side by 2/3
x² = 1176 ÷ 2/3
x² = 1176 × 3/2
x² = 1764
x = ✓1764
x = 42
The length is 42 feet
The circumference of a circle with radius

is

. If the length of the radius is tripled, then the circumference becomes

, which is just 3 times the original circle's circumference.
Answer:

Step-by-step explanation:
we know that
The dimensions of the rectangular backyard in the actual are 300 feet by 600 feet
The dimensions of the rectangular backyard in the blueprint are 30 units by 60 units
therefore
If the radius of the circular flower garden in the actual is 60 feet
then
the radius of the circular flower garden in the blueprint is 6 units
Find the center of the radius in the blueprint
Remember that the circular flower garden is in the center o the backyard
so
To find out the center, determine the midpoint of the rectangular backyard
C((0+30)/2,(0+60)/2)
C(15,30)
The equation of a circle in center radius form is equal to

where
(h,k) is the center
r is the radius
we have

substitute


Answer:
y=1.4x+6.8
Step-by-step explanation:
(-2;4) (-7;-3)
4=-2k+b
-3=-7k+b
7=5k
k=1.4
-2.8+b=4
b=6.8
I already know k and b so I can write an equation.
y=1.4x+6.8
Cross multiply the original proportion
5x = 2y Divide by 2
5x/2 = y Now divide by 5
x/2 = y/ 5
So the answer is y/5