Answer:
![\cos \theta = \frac{\sqrt{15}}{4}}](https://tex.z-dn.net/?f=%5Ccos%20%5Ctheta%20%3D%20%5Cfrac%7B%5Csqrt%7B15%7D%7D%7B4%7D%7D)
Step-by-step explanation:
Recall that
. Therefore, ![\sin\theta=-(-\frac{1}{4})=\frac{1}{4}](https://tex.z-dn.net/?f=%5Csin%5Ctheta%3D-%28-%5Cfrac%7B1%7D%7B4%7D%29%3D%5Cfrac%7B1%7D%7B4%7D)
In any right triangle:
- The sine of an angle is equal to its opposite side divided by the hypotenuse of the triangle (o/h)
- The cosine of an angle is equal to its adjacent side divided by the hypotenuse of the triangle (a/h)
- The tangent of an angle is equal to its opposite side divided by its adjacent side (o/a)
From
and
, we know:
's opposite side is 1
's adjacent side is
- The hypotenuse of the triangle is 4
Therefore, the desired answer is
.
An exterior angle is equal to the sum of the two opposite inside angles.
45x = 25x + 57 +x
Simplify the right side:
45x = 26x +57
Subtract 26x from each side:
19x = 57
Divide each side by 19"
x = 57 / 19
x = 3
Your answer would be 95 calories per apple
Gia is correct for sure if her school has the same amount of students as her cousin's school. So, we don't know if she's right- it depends on the students in both schools.
the answer is
3/10 because 7 goes into both