Given that ABC is a right angle triangle with m∠C=90°, m∠B=75° and AB=12cm.
Area of triangle =
=
So we need to find BC,AC now.
To find them let us take sinB and cosB.
SinB =
BC = 12* cos B = 12* cos 75
So, area =
= 72*sin(75)*cos(75)
= 36*(2sin(75)cos(75))
= 36*sin(150) = 18
Hence area of triangle is 18
Hope this helps tbh sorry I was a little late btw (:
Answer:
87
Step-by-step explanation:
Answer:
the probability is 0.24 or 24%
Step-by-step explanation:
Given
Percentage of time he goes out with his girlfriend = 40%
Percentage of time he goes out to a bar = 60%
If he goes out with his girlfriend, the percentage of times he spends the night at his girlfriend’s apartment = 30%
If he goes out to a bar, percentage of times he gets in a fight and gets thrown in jail = 40%
let probability that the roommate went to the bar = A
As the roommate going to jail is a conditional probability dependent on A happening, the true probability of the roommate is found by multiplying the absolute probability of the roommate going out to a bar (A) by the probability of the roommate going to jail if he goes to a bar
that is Pr(B) =Pr (B n A)
Pr(B) = Pr(B/A) *Pr(A)
This is given as 60% * 40% or 0.6 * 0.4 (probabilities are 1/100 of percentages)
This gives an answer of 0.24 or 24%
Answer:
There's a proportion relationship between number of shell and their cost
Step-by-step explanation:
The graph is not given.
However, I've added the appropriate graph as an attachment.
From this, point....
I'll show that the cost and number of shells as given in the question are proportional.
Represent cost with y and number of shells with x
x = 2 when y = 0.8
x = 3 when y = 1.2
x = 4 when y = 1.6
Divide each value of y by x to get the constant of proportion (r).
r = y/x
r = 0.8/2 = 0.4
r = 1.2/3 = 0.4
r = 1.6/4 = 0.4
Notice that the values of r remain constant.
Hence, there's a proportion relationship between both
And what this rate represent is that:.the cost of shell changes at a constant rate when the number of shell is changes.
So we cant go over $250
35+20n=250
now that i put the question in an expression we can take the 35 away from both sides
35+20n=250
-35. -35
_____________
20n=215
now divide 20 by both sides to get (n) alone
20n=215
________
20
n= 10.75
we round down because we cannot exceed the limit, thus
ANSWER: 10 months
