Answer:
0.67 cm/s
Step-by-step explanation:
The area of a square is given by :
....(1)
Where
x is the side of a square
Differentiating equation (1) wrt t.
When A = 81cm², the side of the square, x = 9 cm
Put all the values,
So, the length of the side of a square is changing at the rate of 0.67 cm/s.
Answer:
P'(1, 5)
Step-by-step explanation:
Up 3 is vertical movement, so it changes the y-value: 2 + 3 = 5
Right 4 is horizontal movement, so it changes the x-value: -3 + 4 = 1
Answer:
87.92 in²
Step-by-step explanation:
pi × (R² - r²) = area
Where R is the radius of the outer circle and r of the inner circle.
Since C = 2pi×r
37.68 = 2×3.14×r
r = 6 in
R = 6 + 2 = 8 in
Therefore,
pi × (R² - r²) = area
Area = 3.14 (8² - 6²)
= 87.92 in²
Answer:
A = 25 in²
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
<u>Geometry</u>
Step-by-step explanation:
<u>Step 1: Define</u>
Side length = 5 in
<u>Step 2: Solve for </u><em><u>A</u></em>
- Substitute: A = (5 in)²
- Evaluate: A = 25 in²
And we have our final answer!
