Answer:

Step-by-step explanation:
Given
Molly: 50 out of 200
Joel: x out of 280
Required
Find x
Start by representing the giving parameters as ration
Molly= 50 : 200
Joel = x : 280
From the question, the ratios are equivalent. So,

Convert to fractions

Solve for x




The denomator of a fraction is the lower half
The stake the rope is tied to is the center of the circle. If the goat pulls the rope as far as it can go and walks around like this he makes a circle and he can eat the grass anywhere within this circle.
(a) Since the area of a circle is given by

this is the formula we can use to find the area of the yard where the goat can roam/eat/reach.
(b) Since the rope is 4 feet the radius r = 4 and the area is given by

square feet. That's the exact area. For an approximation you could substitute 3.14 for pi and get 50.24 square feet.
(c)Since the rope is 5 feet the radius r = 4 and the area is given by

square feet. That's the exact area.
For an approximation you could substitute 3.14 for pi and get 78.5
square feet.
Answer:
10
Step-by-step explanation:
D=2r so 5*2=10
Answer:
7.1
Step-by-step explanation:
By using Pythagorean theorem, a^2+b^2=c^2, we can find the missing length of the leg. a^2+7^2=10^2. 7 is the leg length given and 10 is the hypotenuse. Then we solve from there.
a^2+49=100
a^2=51
(sqrt)a^2=(sqrt)51
a=7.14142.....
rounded to the nearest tenth is 7.1