Answer:
5/4
Step-by-step explanation:
since you cannot put 2.5 : 2 into a fraction you double both numbers and you get 5 : 4 and this as a fraction is 5/4
hope this helps :)
 
        
             
        
        
        
Answer:
Step-by-step explanation:
Picture 1
In right triangle ABC,
Side AB is the opposite side of angle C.
Picture 2
In triangle MKL,
tan(∠M) = 
              = 
              = 
Option (1) is the answer.
Picture 3
In ΔXYZ,
sin(∠Z) = 
             = 
For the length of XY we will apply Pythagoras theorem in ΔXYZ,
XZ² = XY² + YZ²
XY² = XZ² - YZ²
       = (40)² - (32)²
XY = √576
      = 24
sin(Z) =  
 
sin(Z) =  
 
Picture 4
In right triangle DEF,
Cos(D) = 
            = 
            = 
            = 
Picture 5
In ΔABC,
tan(63°) = 
tan(63°) = 
AB = 
AB = 
AB = 4.0762 ≈ 4 m
Option (3) will be the answer.
 
        
             
        
        
        
Answer:
Aziza’s claim is incomplete. The third side must be between 4 in. and 26 in.
Step-by-step explanation:
With the Triangle Inequality Theorem, saying that the sum of lengths of any two sides of a triangle is greater than the length of the third side. With this we can develop two inequalities:
11 + 15 > x 
26 > x 
rewrite this as x < 26 
11 + x > 15
x > 15 - 11   Subtract 11 from both sides
x > 4 
Therefore, the third side can be anywhere greater than 4 inches and less than and less than 26 inches. 
4 <  x < 26
 
        
             
        
        
        
Answer:
does not exist
Step-by-step explanation:
According to the divergence test, for an infinite series ∑ aₙ, the series diverges if lim(n→∞) aₙ ≠ 0.
Applying the divergence test here:
lim(n→∞) (3n⁵ / (4n⁵ + 1)) = 3/4
This is not 0, so the series does not converge, meaning the sum does not exist.
 
        
             
        
        
        
Answer:
42-38
42 + (-38)
-38+42
Step-by-step explanation:
In all of these expressions, the 38 has to be negative because that is what you're taking away from the 48. When you have -(- it turns into a +. 
In -42 + 38 the 42 is negative, but that is Emma's total amount so it's positive
With -42 -(-38) they did the just added those two together which would make the 42 still negative and the 38 positive.
THen with 42 + 38 the 38 is being subtracted from what she has so you would not add 38 to her total.