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.
Answer:
im so bad at math im sorryyy
I think the answer is B I am not sure!
We can simplify the expression by using exponent properties, and we will see that the correct option is the fourth option.
<h3>How to simplify the expression?</h3>
Remember the exponent property:
Here we have the expression:
We can reorder this to get:
The right side can be simplified to:
Now, we can move the decimal point one time to the left and increase the exponent by one, so we get:
Then we conclude that the correct option is the last one (where I rounded the expression to only 3 values after the decimal point).
If you want to learn more about scientific notation:
brainly.com/question/5756316
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Step-by-step explanation:
3a²-7a−6
Factor the expression by grouping. First, the expression needs to be rewritten as 3a
2
+pa+qa−6. To find p and q, set up a system to be solved.
p+q=−7
pq=3(−6)=−18
Since pq is negative, p and q have the opposite signs. Since p+q is negative, the negative number has greater absolute value than the positive. List all such integer pairs that give product −18.
1,−18
2,−9
3,−6
Calculate the sum for each pair.
1−18=−17
2−9=−7
3−6=−3
The solution is the pair that gives sum −7.
p=−9
q=2
Rewrite 3a
2−7a−6 as (3a
2−9a)+(2a−6).
(3a 2−9a)+(2a−6)
Factor out 3a in the first and 2 in the second group.
3a(a−3)+2(a−3)
Factor out common term a−3 by using distributive property.
(a−3)(3a+2)