Answer: ![m\angle C=53\°](https://tex.z-dn.net/?f=m%5Cangle%20C%3D53%5C%C2%B0)
Step-by-step explanation:
For this exercise you need to use the Inverse Trigonometric function arcsine, which is defined as the inverse function of the sine.
Then, to find an angle α, this is:
![\alpha =arcsin(\frac{opposite}{hypotenuse})](https://tex.z-dn.net/?f=%5Calpha%20%3Darcsin%28%5Cfrac%7Bopposite%7D%7Bhypotenuse%7D%29)
In this case, you can identify that:
![\alpha =m\angle C\\\\opposite=AB=36\ cm\\\\hypotenuse=AC=45\ cm](https://tex.z-dn.net/?f=%5Calpha%20%3Dm%5Cangle%20C%5C%5C%5C%5Copposite%3DAB%3D36%5C%20cm%5C%5C%5C%5Chypotenuse%3DAC%3D45%5C%20cm)
Then, substituting values into
and evaluating, you get that the measure of the angle "C" to the nearest degree, is:
![m\angle C=arcsin(\frac{36\ cm}{45\ cm})\\\\m\angle C=53\°](https://tex.z-dn.net/?f=m%5Cangle%20C%3Darcsin%28%5Cfrac%7B36%5C%20cm%7D%7B45%5C%20cm%7D%29%5C%5C%5C%5Cm%5Cangle%20C%3D53%5C%C2%B0)
To solve this problem you must follow the proccedure shown below:
1. Amount of lemonade in pints:
1 <span>quart of water=2 pints
1 pint of lemon
(9 ounces of honey)(0.0625 pints/1 ounce)=0.56 pints
Total in pints=2 pints+1 pint+0.56 pints
Total in pints=3.56 pints
2. </span>Amount of lemonade in<span> cups:
Total in cups=(3.56 pints)(2 cups/1 pint)
Total in cups=7.12 cups
3. </span>Amount of lemonade in<span> ounces:
Total in ounces=(7.12 cups)(8 ounces/1 cup)
Total in ounces=56.96 ounces</span>
Answer:
While 3/4 and 6/8 are equivalent fractions, 3/4 and 6/8 of a pizza could represent different amounts.
Answer:
Time in which both companies charge same cost = 1.5 hour
Step-by-step explanation:
Given:
Fixed Variable
Premier Landscaping charges $15 $55
Ace Landscaping charges $65
Find:
Time in which both companies charge same cost:
Computation:
Assume in X time both companies charge same cost:
So,
Premier Landscaping total cost = Ace Landscaping total cost
⇒ $15 + $55(Time taken) = $65 (Time taken)
⇒ $15 = $65 (Time taken) - $55(Time taken)
⇒ $15 = $10 (Time taken)
⇒ Time taken = 1.5 hour
Time in which both companies charge same cost = 1.5 hour
Answer:
Step-by-step explanation:
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