Answer:
Step-by-step explanation:
Given:
Right ∆ with,
Hypotenuse = x
Opposite = 9
Reference angle
= 39°.
Required:
The value of x
Solution:
Since we are given a reference angle with opposite length, and we are to find the hypotenuse length, x, apply the following trigonometric ratios formula:

Plug in the values into the equation

Multiply both sides by x

Divide both sides by sin(39)

(to 2 decimal places)
Answer:
The first one is by using your mind. If you know that factorial of any non negative integer denoted by n!
defined as
n!=n(n−1)(n−2)⋯3⋅2⋅1
then 5!=5∗4∗3∗2∗1. You can calculate it in your mind which will give you 5!=120.
That's it.
The next method is using your calculator. In my calculator Casio fx-991es, I pressed 5 and then shift+x−1
button and I got 120. Similarly, you can use Google to calculate it like I did and got this.
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
QG=GS
x+5=2x-2
x=7
QG=7+5=12
Answer:144
Step-by-step explanation: I explained what to do in the comments.
Answer:
x=8/5
Step-by-step explanation:
2/3(18x-12)=7-3(x-3)
2/3(18x-12)=7-3x+9
12x-8=-3x+16
12x-(-3x)-8=16
12x+3x-8=16
15x-8=16
15x=16+8
15x=24
x=24/15
simplify
x=8/5