She poured 5 servings because 5 x 4 1/2 = 22 1/2. so when you add the left over 1 1/2 to that you get 24
Answer:

Step-by-step explanation:
Given that
is a right angled triangle.

and

Kindly refer to the attached image of
in which all the given angles are shown.
To find:
sin(38°) = ?
a) cos(38°)
b) cos(52°)
c) tan(38°)
d) tan(52°)
Solution:
Let us use the trigonometric identities in the given
.
We have to find the value of sin(38°).
We know that sine trigonometric identity is given as:

....... (1)
Now, let us find out the values of trigonometric functions given in options one by one:

....... (2)
By (1) and (2):
sin(38°)
cos(38°).
...... (3)
Comparing equations (1) and (3):
we get the both are same.

Answer:


Step-by-step explanation:
We have a positive value for the cosine of x, so we know that the value of x should be in the first quadrant (0 ≤ x ≤ 90) or in the fourth quadrant (270 ≤ x ≤ 360).
Now, let's find the value of x that gives cos(x) = 0.7252 using the inverse function of the cosine, that is, the arc cosine function.
The value of x can be calculated using:

Using this function in a calculator (you may find it as:
), we have that:

So this is the value of x in the first quadrant. To find the other value of x, in the fourth quadrant, that gives the same result, we just need to calculate 360° minus the value we found:

So the values of x are:


Answer:
A) 161 feet
Step-by-step explanation:
h(3) = -16(3)² + 70(3) + 95 = 161