We can use the Pythagorean theorum
a^2+b^2=c^2
c^2 is the length of the longest side squared
so
6^2 + b^2 = 10^2
36+ b^2 = 100
-36 -36
b^2 = 64
b = 8
b is the same thing as your "x", so x = 8
Answer:
- 48
Step-by-step explanation:
If you want to learn more about this concept, it's called composition of functions.
First, you plug in g(x) as if it were x into f(x).
f(g(x))= -5 (1/2x + 4) + 2
= -5/2x - 20 + 2
= -5/2x - 18
Then, plug in the value given, as x.
= -5/2 (12) - 18
= -30 - 18
= - 48
I hope this helped!
Answer:
Im solving it.
Step-by-step explanation:
Answer:
<h2>x = 437.3 ft</h2>
Step-by-step explanation:
Look at the picture.
Use cosine:
We have a measure of the angle and length of the hypotenuse:
Substitute:
<em>multiply both sides by 500</em>
To solve this problem you must apply the proccedure below:
1. You have that:
- Sarah sights the top of the statue of liberty at an angle of elevation of 61°.
- She is standing 166 feet from the base of the statue.
<span>
- Sarah is 5.5 feet tall.
2. Therefore, the heigth of the statute is:
Tan(61°)=x/166
x=(166)(</span>Tan(61°)
x=299.47 feet
Height of the statue=299.47 feet+5.5 feet
Height of the statue=304.97 feet
