ANSWER

EXPLANATION
From the given information, Elena chooses a number from 1 to 10.
The sample space is
S={1,2,3,4,5,6,7,8,9,10}
n(S)=10
The numbers greater than 5 are:
E={6,7,8,9,10}
n(E)=5
The probability that, she chooses a number greater than 5 is:

Substitute the values,


Answer:
17.9°
Step-by-step explanation:
From trigonometry:
Opposite = 14
Adjacent = x
theta = 38°
hence;
tan theta = opposite/ adjacent
tan38° = 14/x
x = 14/tan38°
x = 17.9°
Answer:
42 (square root>) 10 + 51 (square root>) 5
Step-by-step explanation:
Answer:


Step-by-step explanation:
Given

Solving (a): Write as inverse function

Represent a(d) as y

Swap positions of d and y

Make y the subject


Replace y with a'(d)

Prove that a(d) and a'(d) are inverse functions
and 
To do this, we prove that:

Solving for 

Substitute
for d in 




Solving for: 

Substitute 5d - 3 for d in 

Add fractions



Hence:
