A = π*r^2
r = √(A/π) = √(45/π) ≈ 3.78
The radius is approximately 4 inches.
Answer: The equation is y = 3x + 3
Step-by-step explanation:
This problem is simply asking us to add the weights which are presented as fractions. You can easily get the answer if you input them directly in a calculator. But I think the challenge here is to manually add fractions.
Let's add the two 1/4 lb weights because it is easier for they have a common denominator. Just simply add the numerators.
1/4 + 1/4 = 2/4
Then, add with this the fraction part of 2 1/5.
2/4 + 1/5 = ?
The least common denominator is 4*5 = 20. Then divide 20 with each denominator and multiply to their respective numerator.
2/4 + 1/5 = [(20/4 * 2) + (20/5 *1)]/20 = 14/20
14/20 is simplified to 7/10. Then add the whole number 2. <em>Therefore, the sum of all weights is 2 7/10 pounds.</em>
Answer:
y = -5x + 20
Step-by-step explanation:
Lets start with the first given values for x and y
(2,10)
Lets try out the first equation
y = 5x + 4
y = 5(2) + 4
y = 14
This equation wouldn't work because the y value is not 10 when the x value is 2
y = 5x + 20
y = 5(2) + 20
y = 30
This equation doesn't work either
y = -5x + 20
y = -5(2) + 20
y = -10 + 20
y = 10
This would be the correct equation since your y value is 10 when the x value is 2