<h3>
Answer: 10.99</h3>
Work Shown:
Angle B = 20 is the reference angle
AC = 4 is the side opposite this reference angle
BC = x is the unknown adjacent side
tan(angle) = opposite/adjacent
tan(B) = AC/BC
tan(20) = 4/x
x*tan(20) = 4
x = 4/tan(20)
x = 10.9899 approximately (make sure your calc is in degree mode)
x = 10.99 rounding to two decimal places
BC = 10.99
Answer:
(10a-b)/8
Step-by-step explanation:
LCM(4,8) is 8
Rewrite each fraction using common denominator = 8
5a/4 is 10a/8
10a/8 - b/8 = (10a-b)/8
1st year= 18000 x 0.85 = 15300
2nd year= 15300 x 0.85 = 13005
3rd year= 13005 x 0.85= 11054.25
Answer:
The graph crosses the x-axis at x = 0 and touches the x-axis at x = 3.
Step-by-step explanation:
When you graph this equation, you should see the zeros it passes and touches.
Let
A = event that the student is on the honor roll
B = event that the student has a part-time job
C = event that the student is on the honor roll and has a part-time job
We are given
P(A) = 0.40
P(B) = 0.60
P(C) = 0.22
note: P(C) = P(A and B)
We want to find out P(A|B) which is "the probability of getting event A given that we know event B is true". This is a conditional probability
P(A|B) = [P(A and B)]/P(B)
P(A|B) = P(C)/P(B)
P(A|B) = 0.22/0.6
P(A|B) = 0.3667 which is approximate
Convert this to a percentage to get roughly 36.67% and this rounds to 37%
Final Answer: 37%