A rational number can be expressed as a fraction of 2 integers, where the denominator does not equal to 0.
Because cos(x) = 1/sec(x), therefore
cos(48) = 1/1.4945 = 0.6691
The angle 48° is in quadrant 1, therefore cos, sin, tan, sec, csc and cot functions are all positive.
Note that sin(90° - x) = cos(x).
Therefore
sin(90 - 48) = cos(48)
sin(42°) = cos(48°) = 0.6691
Because csc(x) = 1/sin(x), therefore
csc(42°) = 1/sin(42°) = 1/0.6691 = 1.4945
Answer: 1.4945
Answer:
C = 6.75n + 50
Step-by-step explanation:
The equation for the cost of renting the party room can be written in the form;
C= mn+k ......i
Where C = cost
n = number of people
Substituting the 2 cases into the equation we have,
Case 1
117.5 = 10m + k ......1
Case 2
151.25 = 15m + k .....2
Subtracting eqn 1 from 2 we have
151.25 - 117.50 = 15m - 10m
5m = 33.75
m = 33.75/5 = 6.75
Substituting m = 6.75 into eqn 1, we have
117.50 = 10(6.75) + k
k = 117.5 - 67.50
k = 50
Therefore, rewriting the eqn i, we have
C = 6.75n + 50
The side of the square is 4 cm since 4x4= 16
Answer: Option (c) is correct. Rate of interest = 6% p.a.
Step-by-step explanation:
Given that,
principal amount = $2000(loan)
time period = 284 days
interest amount (SI) = $93.37
we have to calculate the rate of interest (i),
Simple interest(SI) = principal amount × rate of interest (i) × time period
93.37 = 2000 × i × 
i = 
i = 0.06
i = 6%
