<h3>The distance between two landmarks is 123 meters</h3>
<em><u>Solution:</u></em>
We have to find the distance between two landmarks
<em><u>Use the law of cosines</u></em>
The third side of a triangle can be found when we know two sides and the angle between them

Here, angle between 90 meters and 130 meters is 65 degrees
From figure,
a = 90
b = 130
c = d
Therefore,

Thus, the distance between two landmarks is 123 meters
 
        
        
        
Answer:
A = 40°
B = 50°
Step-by-step explanation:
If cos A = sin B, then A + B = 90
So, 2x/3 + 20  + 2x - 10 = 90
       2x + 60 + 6x - 30 = 270
                8x + 30 = 270
                        8x = 240
                           x = 30
2x/3 + 20 = 60/3 + 20 = 20 + 20 = 40
2x - 10 = 2(30) - 10 = 60 - 10 = 50  or  90 - 40 = 50
 
        
 
        
             
        
        
        
Answer:
The correct order is:
a
c
d
b
Step-by-step explanation:
First, let's write 1/x in a convenient way for us:
a) Substitute 1/x = p/q, to obtain x = 1/(1/x) = 1/(p/q) = q/p.
Now we assume that 1/x is rational (we want to prove that this implies that x will be also rational and because we know that x is irrational assuming that 1/x is rational will lead to an incongruence), then:
c. If 1/x is rational, then 1/x = p/q for some integers p and q with q ≠ 0. Observe that p is not 0 either, because 1/x is not 0.
Now we know that we can write x as a quotient of two integers, we need to imply that, then the next one is:
d) Observe that x is the quotient of two integers with the denominator nonzero.
And that is the definition of rational, then we end with:
b) Hence x is rational.
Which is what we wanted to get.
 
        
             
        
        
        
Answer:
100
Step-by-step explanation:
94 bagels in total. 100 will be plenty
 
        
                    
             
        
        
        
Answer:
Step-by-step explanation: