Answer:
option C. 
Step-by-step explanation:
we have  that 
The point (-5,-12) belong to the III quadrant
so
The value of the cosine is negative
Applying the Pythagoras Theorem
Find the value of the hypotenuse

The value of cosine of angle θ is the ratio between the side adjacent to angle θ and the hypotenuse

 
        
             
        
        
        
Answer:

Step-by-step explanation:
1. Regroup terms.

2. Add 1 to both sides.

3. Simplify 3x + 3 + 1 to 3x + 4.

4. Subtrect 3x from both sides.

5. Simplify 4x - 3x to x.

Therefor, the answer is, x = 4.
 
        
             
        
        
        
The answer is A
You can solve this by equation the two equations, by substitution method or elimination. Let's choose the substitution since Equation 2 has already X isolated
-take the X in equation 2 and substitute in the first equation
So, You should have 5 (5-3/2 y) -4y =7 
Get y ( I'll assume you know how to simplify and find y by yourself )
 y=36/23
-Now take y and substitute it in the first equation or the second equation (it doesn't really matter)
Substituting y in Equation 2: 
x=5- 3/2 (36/23)
=> x= 61/23
So answer is A where (x,y) is (61/23, 36/23)
        
                    
             
        
        
        
You have an angle of elevation of 3 degrees and you're 2000 ft from base of 30 story building. 
<span>Draw a picture of this. Then tan(3) = ht of bldg/2000 </span>
<span>I get a height of 104.82 ft rounded to 2 dp. </span>
<span>5. Ok. use the Pythagorean Theorem here to find the hypotenuse of the right triangle </span>
<span>hypt = sqrt(50^2 + 9^2) </span>
<span>Now sine of the angle of elevation is 50/hypt. = 0.984 or 0.98 to 2 dp.</span>
        
             
        
        
        
 a raise to m ∙ a raise to n = a raise to (m + n)
so 7 raise to (3+4)=7 raise to &