Answer: The distance between the fence and where the string is pegged to the ground is 7.07 feet.
Step-by-step explanation:
Since we have given that
Length of string = 10 feet
Angle of elevation = 45°
We need to find the distance between the fence and where the string is pegged to the ground.
We will apply "Cosine formula "

Hence, the distance between the fence and where the string is pegged to the ground is 7.07 feet.
Let, number of children are x and number of adult are y.
Total number of seats, T = 180.
x + y = 180 ....1)
Tickets to a 3D movie cost $12.50 for adults and $8.50 for children.
So, total amount :
8.5x + 12.5y = A
8.5x + 12.5y = 1826 ....2)
Solving equation 1) and 2) , we get :
8.5x + 12.5( 180 - x ) = 1826
8.5x - 12.5x + 2250 = 1826
-4x = -424
x = 106
y = 180 - 106 = 74
Therefore, the number of adult tickets and the number of children's tickets that were sold are 74 and 106.
Hence, this is the required solution.
Firstly , we will check continuity at x=1
we can use method
Suppose, f(x) is continuous at x=c
then it must satisfy


firstly , we can find limit


so, we get

now, we can find f(1)

so, we got

so, this is continuous at x=1
Hence , option-D...........................Answer
Answer: 11453246176
Step-by-step explanation:
16 to the 9th power is 68719476736
divided by 6 =1.14532461E10
+76 =11453246176
Answer:
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