Answer: 44%
Step-by-step explanation:
For a circle of radius R, the area is written as:
A = pi*R^2
Where pi = 3.14
If we increase the radius by 20%, the new radius will be:
R´ = R + 0.20*R = 1.20*R
The new area will be:
A´ = pi*(1.20*R)^2 = (1.20)^2*pi*R^2
= 1.44*pi*R^2
And pi*R^2 = A, the original area, then_
A´ = 1.44*A = A + 0.44*A
This means that the percentage in which the area increased is:
0.44*100% = 44%
The answer for the completion exercise shown in the image attached above is:
1) Multilplication property of equality (If you multiply mEFG+mGDE=360° both sides of the equation by 1/2, you obtain 1/2(mEFG)+1/2(mGDE)=180°).
2) m∠D=1/2(mEFG)
3) m∠F=1/2(mGDE)
4) By the substitution property of equality (Because if you substitute m∠D=1/2(mEFG) and m∠F=1/2(mGDE) into 1/2(mEFG)+1/2(mGDE)=180°, you obtain: m∠D+m∠F=280°).
You need to state more info, this isn't even a question
Birds can fly is the best distinction between birds and other animals
Answer:
5.1%
Step-by-step explanation:
The proceeds of the loan are ...
13000 -625 = 12375
The amount repaid is 13000. That amount is ...
13000/12375 = 1.05050505...
times the proceeds. So, the effective interest rate is ...
1.05051 -1 = 5.051% ≈ 5.1%