Answer:$15
Step-by-step explanation:
45 divided by 3 =15
In this case or scenario,
the double-angle identity that should be used is the one for cosine. <span>
In totality, we shall need the following three trigonometric
identities to end up with the equality:
<span>1. cos (2a) = cos² (a) - sin² (a)
2. sin² (a) + cos² (a) = 1
<span>3. tan² (a) + 1 = sec²
(a)
<span>Using identities 1 and 2 on the left-hand side of the
equation, we get the following:</span>
1 + cos (2a) = 1 + cos² (a) - sin² (a) = 2 cos² (a) </span></span></span>
<span>
<span>Recalling that cos² (a) = 1 / sec² (a) and applying identity
3, we find the following:</span>
2 cos² (a) = 2 / sec² (a) = 2 / (1 + tan² (a)) </span>
Therefore giving us:
<span>2 cos² (a) = 2 / (1 +
tan² (a))</span>
Answer:
x = 7 , -1
Step-by-step explanation:
<u>SOLUTION :-</u>

- Add 11 to both the sides.


- Divide both the sides by 4.


- Root square both the sides.


Here , x will have two values -
1) 

2) 

<u>VERIFICATION :-</u>
When x = 7 ,





When x = -1 ,





Answer:
3026
30
Step-by-step explanation: Average sum of the female and male's test score is the sum of expected value of each gender:

Assuming x represents the random male selected and y represents the random female selected:

3026
The average sum of their scores is 3026.
Average difference is the difference between the expected value (mean) of each gender:

1528 - 1498
30
The average difference of their scores is 30.
= 9/16 + 1/2
convert 1/2 to same denominator as 9/16
= 9/16 + 8/16
add numerators
= (9+8)/16
= 17/16
convert to mixed number
= 1 1/16
ANSWER: 1 1/16
Hope this helps! :)