Answer:
Step-by-step explanation:
Area of a circle is equal to
, where r is the radius
![A=\pi r^2](https://tex.z-dn.net/?f=A%3D%5Cpi%20r%5E2)
A diameter is twice the length of the radius. (
)
So the radius is 4 cm.
![r^2=4^2=16](https://tex.z-dn.net/?f=r%5E2%3D4%5E2%3D16)
so the Area is ![16\pi](https://tex.z-dn.net/?f=16%5Cpi)
Answer:
1200 > 42x+400
Step-by-step explanation:
We need to determine the equation of the line for the number of lilac bushes versus area
m = (y2-y1)/(x2-x1)
= (484-442)/(2-1)
= 42/1
= 42 square ft per lilac bush
Using point slope form of a line
y-y1 = m(x-x1)
y-442 = 42(x-1)
Distribute
y-442 =42x-42
Add 442 to each side
y-442+442 = 42x-42+442
y = 42x+400
This is the equation of the line
Ryan has less than 1200 square feet so our equation must be less than 1200 square feet
1200 > 42x+400
Answer:
7:10:34
Step-by-step explanation:
1. Ratio outline:
Length 1:Length 2:Perimeter
2. Length 1 = 35 feet
3. Length 2 = 50 feet
4. Perimeter = Length of all sides
- Since, a ractangle has 4 sides and the opposite sides are equal, we do Perimeter = 35+50+35+50 = 170
5. Substitute the values into the ratio outline:
35:50:170
6. Convert into simplest form: Divide by greatest common factor (5)
7:10:34
Let width = w
Let length = l
Let area = A
3w+2l=1200
2l=1200-3w
l=1200-3/2
A=w*l
A=w*(1200-3w)/2
A=600w-(3/2)*w^2
If I set A=0 to find the roots, the maximum will be at wmax=-b/2a which is exactly 1/2 way between the roots-(3/2)*w^2+600w=0
-b=-600
2a=-3
-b/2a=-600/-3
-600/-3=200
w=200
And, since 3w+2l=1200
3*200+2l=1200
2l = 600
l = 300
The dimensions of the largest enclosure willbe when width = 200 ft and length = 300 ft
check answer:
3w+2l=1200
3*200+2*300=1200
600+600=1200
1200=1200
and A=w*l
A=200*300
A=60000 ft2
To see if this is max area change w and l slightly but still make 3w+2l=1200 true, like
w=200.1
l=299.85
A=299.85*200.1
A=59999.985
Answer:
7.5
Step-by-step explanation:
use the formula A=1/2bh