The spoke of the wheel serves as the radius of the circle.
To solve for the circumference of the circle, we use this formula:
C = 2πr
42 inches = 2 * 3.14 * r
42 inches = 6.28 * r
42 inches / 6.28 = r
6.69 inches = r
The length of each spoke is 6.69 inches.
Ok use photomath it’s way better for stuff like that
Let the first brother = x
second brother = x + 2
third brother = x + 4
<span>The product of the first and third boys' ages is 20 more than twice the second boy's age:
x(x+4) = 2(x+2) + 20
x</span>² + 4x = 2x + 4 + 20
x² + 4x - 2x - 24 = 0
x² + 2x - 24 = 0
(x - 4)(x + 6) = 0
x = 4 or -6 (rejected, age cannot be negative)
First brother = 4
Second brother = 4 + 2 = 6
Third brother = 4 + 4 = 8
The three boys are 4, 6, and 8 years old.
3.) (2,1), (4,2), (6,4), (7,5), (8,6)
Answer:
The bench was $375 and the garden table was $284.
Step-by-step explanation:
Let x be the value of the bench, if the table is 91 less than the value of the bench then the equation can be:
x + x-91 = 659
2x -91 = 659
Add 91 to both sides of the equation to isolate the 2x:
2x - 91 + 91 = 659 + 91
2x = 750
Divide both sides by 2 to get 1x:
2x ÷ 2 = 750 ÷ 2
x = 375
This means the bench was $375 and the garden table was $284.
Hope this helps!