16, 18, 23, 25, 26, 34, 37, 37, 40, 41, 46
37 is the upper quartile value
We start with the more complicated side which is the left side, and show that, on using some trigonometric identities, we will get the term on the right side .
Using Quotient identity for tangent function, we will get
Taking out sine function from the numerator
Cancelling the common term of numerator and denominator
18 divided by 60 = 0.3
0.3 x 100 = 30
18 is 30% of 60
Answer:
I will answer in a general way because the options are not given.
We know that the area of model A is smaller than the area of model B.
For model A, we have 72 shaded sections, out of 100.
Then the quotient of model A is:
72/100 = 0.72
For model B we have 10 sections, and x shaded ones.
Because model B is greater than model A, we know that:
x/10 should be larger than 72/100
then we have the inequality:
x/10 > 0.72
x > 0.72*10
x > 7.2
And we can not have more than 10 shaded sections (because there is a total of 10 sections) then:
10 ≥ x > 7.2
Then x can be any whole number in that interval.
the possible values of x are:
x = 8
x = 9
x = 10
For a geometric sequence or geometric series, the common ratio is the ratio of a term to the previous term. This ratio is usually indicated by the variable r. Example: The geometric series 3, 6, 12, 24, 48, . . . has common ratio r = 2.
