A Family purchased tickets to the movies in spent a total of $40.75. The family purchase five tickets there was a $.90 processi
1 answer:
Answer:
$7.25
Step-by-step explanation:
Total amount spent on the ticket = $40.75
Number of ticket purchased = 5
Processing fee per ticket = $0.90
Unknown:
Cost of each ticket = ?
Solution:
To solve this problem, we need to find the processing fee for the 5 tickets purchase;
Processing fee = number ticket x processing fee per ticket
Processing fee = 5 x 0.9 = $4.5
Now, the real cost a ticket = $40.75 - $4.5 = $36.25
So, cost per ticket is;
Cost = = $7.25
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Answer:
D. The correct value of c = 7.4
Step-by-step explanation:
According to Tangent-Secant theorem:
"When a tangent and a secant are drawn from one single external point to a circle, square of the length of tangent segment must be equal to the product of lengths of whole secant segment and the exterior portion of secant segment."
Here, the external length of tangent segment = 10
Also, the length of internal segment is 14 and c.
So, by the SECANT THEOREM:
or, c = 7. 1428
Now, rounding off the value of c = 7. 14 to the nearest tenth, we get
c = 7. 4
Hence the correct value of c = 7.4
From trigonometry we know that:
if
then, (where
is an integer)
This can be rewritten in degrees as:
.............(Equation 1)
Now, in our case,
Therefore, (Equation 1) can be written as:
..........(Equation 2)
Now, to find the correct options all that we have to do is replace n by relevant integers and find the values of that match.
For n=2, (Equation 2) gives us: .
Thus,
Now, we know that:
Let n=-1, then:
Thus,
Likewise,
Only the last option will never match
because no integral value of
will ever give
Thus the last option is the correct option.