<u>Given </u>that the length of the hypotenuse is 8 and the angle is 42°
The length of the one leg of the triangle is x.
We need to determine the value of x.
<u>Value of x:</u>
The value of x can be determined using the trigonometric ratio.
Thus, we have;
![sin \ \theta=\frac{opp}{hyp}](https://tex.z-dn.net/?f=sin%20%5C%20%5Ctheta%3D%5Cfrac%7Bopp%7D%7Bhyp%7D)
Substituting the values, we get;
![sin \ 42^{\circ}=\frac{x}{8}](https://tex.z-dn.net/?f=sin%20%5C%2042%5E%7B%5Ccirc%7D%3D%5Cfrac%7Bx%7D%7B8%7D)
Multiplying both sides of the equation by 8, we get;
![sin \ 42^{\circ}\times8=x](https://tex.z-dn.net/?f=sin%20%5C%2042%5E%7B%5Ccirc%7D%5Ctimes8%3Dx)
Simplifying, we get;
![0.669 \times 8=x](https://tex.z-dn.net/?f=0.669%20%5Ctimes%208%3Dx)
![5.352\approx x](https://tex.z-dn.net/?f=5.352%5Capprox%20x)
Therefore, the value of x is 5.35(app.)
Hence, Option A is the correct answer.
Answeri dont know sorry
Step-by-step explanation:
Answer: -1/5
Step-by-step explanation:
the equation to solve slope with two points is the y coordinate in the second point minus the y coordinate in the first point over the x coordinate in the second point minus the x coordinate in the first point so this one would be
(-2 - -1)/(12-7)
On the top you subtract a negative it becomes a positive and you get -1/5
So 1/8=0.125 and 24*0.125=3 so 3 people ate pumpkin pie.
Ya have to round it to the nearest hundred, so that would be 2 thousand.
so it's 4,552,000