Answer:
17.9°
Step-by-step explanation:
From trigonometry:
Opposite = 14
Adjacent = x
theta = 38°
hence;
tan theta = opposite/ adjacent
tan38° = 14/x
x = 14/tan38°
x = 17.9°
Answer:
The frequency of the note a perfect fifth below C4 is;
B- 174.42 Hz
Step-by-step explanation:
Here we note that to get the "perfect fifth" of a musical note we have to play a not that is either 1.5 above or 1.5 below the note to which we reference. Therefore to get the frequency of the note a perfect fifth below C4 which is about 261.63 Hz, we have
1.5 × Frequency of note Y = Frequency of C4
1.5 × Y = 261.63
Therefore, Y = 261.63/1.5 = 174.42 Hz.
Answer:
m∠P=140°
Step-by-step explanation:
Given:
∠P and ∠Q are supplementary angles.
The measure of angle P is five less than four times the measure of angle Q.
To find m∠P
Solution:
The measure of angle P can be given as:
A) 
And
B)
[Definition of supplementary angles]
Substituting equation A into B.

Solving for 
Using distribution:

Simplifying by combining like terms.

Adding 20 to both sides.


Dividing both sides by 5.


Substituting
in equation B.

Subtracting both sides by 40.


Thus, we have:
m∠P=140° (Answer)
Answer:
Step-by-step explanation:
Known facts:
- the ball dropped from a height of 64 feet
- function

First question:
- the ball hits the ground when h(t) = 0, thus we get the equation

So the ball hits the ground in 2s
Second question
- to find how long it takes the ball to fall 36 feet, we must set h(t) = 64 - 36 = 28

So the ball hits the ground in 1.5s
Hope that helps!