Answer:
![\displaystyle 61,9° ≈ x](https://tex.z-dn.net/?f=%5Cdisplaystyle%2061%2C9%C2%B0%20%E2%89%88%20x)
Step-by-step explanation:
We have to determine which trigonometric ratio to use, depending on what is displayed for us, and we will be using the <em>cotangent</em><em> </em>[or <em>tangent</em>] ratio, however, aside we are solving for an <em>angle</em><em> </em><em>measure</em>, we must use the inverse:
![\displaystyle cot^{-1}\: \frac{8}{15} ≈ 61,92751306° ≈ 61,9° \\ \\ OR \\ \\ tan{-1}\: 1\frac{7}{8} ≈ 61,92751306° ≈ 61,9°](https://tex.z-dn.net/?f=%5Cdisplaystyle%20cot%5E%7B-1%7D%5C%3A%20%5Cfrac%7B8%7D%7B15%7D%20%E2%89%88%2061%2C92751306%C2%B0%20%E2%89%88%2061%2C9%C2%B0%20%5C%5C%20%5C%5C%20OR%20%5C%5C%20%5C%5C%20tan%7B-1%7D%5C%3A%201%5Cfrac%7B7%7D%7B8%7D%20%E2%89%88%2061%2C92751306%C2%B0%20%E2%89%88%2061%2C9%C2%B0)
Extended Information on Trigonometric Ratios
![\displaystyle \frac{OPPOSITE}{HYPOTENUSE} = sin\:θ \\ \frac{ADJACENT}{HYPOTENUSE} = cos\:θ \\ \frac{OPPOSITE}{ADJACENT} = tan\:θ \\ \frac{HYPOTENUSE}{ADJACENT} = sec\:θ \\ \frac{HYPOTENUSE}{OPPOSITE} = csc\:θ \\ \frac{ADJACENT}{OPPOSITE} = cot\:θ](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7BOPPOSITE%7D%7BHYPOTENUSE%7D%20%3D%20sin%5C%3A%CE%B8%20%5C%5C%20%5Cfrac%7BADJACENT%7D%7BHYPOTENUSE%7D%20%3D%20cos%5C%3A%CE%B8%20%5C%5C%20%5Cfrac%7BOPPOSITE%7D%7BADJACENT%7D%20%3D%20tan%5C%3A%CE%B8%20%5C%5C%20%5Cfrac%7BHYPOTENUSE%7D%7BADJACENT%7D%20%3D%20sec%5C%3A%CE%B8%20%5C%5C%20%5Cfrac%7BHYPOTENUSE%7D%7BOPPOSITE%7D%20%3D%20csc%5C%3A%CE%B8%20%5C%5C%20%5Cfrac%7BADJACENT%7D%7BOPPOSITE%7D%20%3D%20cot%5C%3A%CE%B8)
I am joyous to assist you anytime.
The answer i got is 44/3 but as a mixed number it’s 14 2/3
Answer:
B) 3 1/3
Step-by-step explanation:
To divide the fractions, simply follow these steps.
First, flip the second fraction, so that the numerator is the denominator, and the denominator is the numerator. Change the division sign into a multiplication:
(2/3)/(1/5) = (2/3) * (5/1)
Next, multiply straight across:
(2/3) * (5/1) = (2 * 5)/(3 * 1) = 10/3
Finally, simplify. Change the improper fraction into a mixed:
10/3 = 3/3 + 3/3 + 3/3 + 1/3 = 3 1/3
B) 3 1/3 is your answer.
~
The multiply choice were worth 4 points.
Gretchen= 18x+19
Ezia= 15x+31
So basically you can enter any number. At first I picked 3 and then I did the math and I got 73 points for Gretchen and 76 points for Ezia.
Then I pick four and then I got 91 points for them both. This is how I got the answer:
18x+19=15x+31
18(4)+19=15(4)+31
72+19=60+31
91=91