yards/costumes:16/(5/2) = X/(19/2)
Cross multiply.
(5/2)x = 152
Multiply both sides by 2/5.
x = 101 1/3 yards
Answer:
Part A) ![sin(A)=\frac{2\sqrt{42}}{23}](https://tex.z-dn.net/?f=sin%28A%29%3D%5Cfrac%7B2%5Csqrt%7B42%7D%7D%7B23%7D)
Part B) ![cos(A)=\frac{19}{23}](https://tex.z-dn.net/?f=cos%28A%29%3D%5Cfrac%7B19%7D%7B23%7D)
Part C) ![tan(A)=\frac{2\sqrt{42}}{19}](https://tex.z-dn.net/?f=tan%28A%29%3D%5Cfrac%7B2%5Csqrt%7B42%7D%7D%7B19%7D)
Step-by-step explanation:
Part A) we know that
In the right triangle ABC of the figure the sine of angle A is equal to divide the opposite side angle A by the hypotenuse
so
![sin(A)=\frac{BC}{AB}](https://tex.z-dn.net/?f=sin%28A%29%3D%5Cfrac%7BBC%7D%7BAB%7D)
substitute the values
![sin(A)=\frac{2\sqrt{42}}{23}](https://tex.z-dn.net/?f=sin%28A%29%3D%5Cfrac%7B2%5Csqrt%7B42%7D%7D%7B23%7D)
Part B) we know that
In the right triangle ABC of the figure the cosine of angle A is equal to divide the adjacent side angle A by the hypotenuse
so
![cos(A)=\frac{AC}{AB}](https://tex.z-dn.net/?f=cos%28A%29%3D%5Cfrac%7BAC%7D%7BAB%7D)
substitute the values
![cos(A)=\frac{19}{23}](https://tex.z-dn.net/?f=cos%28A%29%3D%5Cfrac%7B19%7D%7B23%7D)
Part C) we know that
In the right triangle ABC of the figure the tangent of angle A is equal to divide the opposite side angle A by the adjacent side angle A
so
![tan(A)=\frac{BC}{AC}](https://tex.z-dn.net/?f=tan%28A%29%3D%5Cfrac%7BBC%7D%7BAC%7D)
substitute the values
![tan(A)=\frac{2\sqrt{42}}{19}](https://tex.z-dn.net/?f=tan%28A%29%3D%5Cfrac%7B2%5Csqrt%7B42%7D%7D%7B19%7D)
408 round to the nearest tenth: 410
I would choose A I’m not to sure tho
4/7,8/14,12/21,16/28,20/35,24/42,28/49,32/56,36/63,40/70 and so on are equivalent fractions to 4/7