If each spoke reaches from the center of the wheel to its rim, then that means that each spoke is as long as the radius.
To calculate radius:
C=2πr
π=3.14
C=42 inches
42=2(3.14)r
2*3.14=6.28
42=6.28r
Divide 42 by 6.28
42/6.28=6.68
length of each spoke is 6.68 inches.
Answer:
This triangle is asking for the opposite side. We are given the hypotenuse and theta (28°.) Sin is opposite over hypotenuse.
cost of one peppermint cookies = $ 0.6
cost of one cinnamon sugar cookies = $ 0.3
<h3><u>Solution:</u></h3>
Let "p" be the cost of one peppermint cookies
Let "c" be the cost of one cinnamon sugar cookies
<u><em>To find: cost of each cookie</em></u>
<h3><u><em>
On the first day, they sold 120 peppermint cookies and 30 cinnamon sugar cookies for a total of $81</em></u></h3>
We can frame a equation as:
120 peppermint cookies x cost of one peppermint cookies + 30 cinnamon sugar cookies x cost of one cinnamon sugar cookies = $ 81

120p + 30c = 81 --------- eqn 1
<h3><u><em>
The next day they made $60 by selling 70 peppermint cookies and 60 cinnamon sugar cookies</em></u></h3>
70 peppermint cookies x cost of one peppermint cookies + 60 cinnamon sugar cookies x cost of one cinnamon sugar cookies = $ 60

70p + 60c = 60 --------- eqn 2
Let us solve eqn 1 and eqn 2 to find values of "p" and "c"
Multiply eqn 1 by 2
240p + 60c = 162 --- eqn 3
Subtract eqn 2 from eqn 3
240p + 60c = 162
70p + 60c = 60
(-) -------------------------
170p = 102
<h3>p = 0.6</h3>
Substitute p = 0.6 in eqn 1
120p + 30c = 81
120(0.6) + 30c = 81
72 + 30c = 81
30c = 9
<h3>c = 0.3</h3>
<u><em>Summarizing the results:</em></u>
<em>cost of one peppermint cookies = $ 0.6</em>
<em>cost of one cinnamon sugar cookies = $ 0.3</em>
For indicies, the numerator is the normal power, and the denominator is a root as such. So 1/2 would be square root, 1/3 would be cube root, 1/4 would be 4th root and so on.
So, 64^(1/3) is the third root of 64, which is equal to 4.