Answer:
Step-by-step explanation:
apply sine rule 2 the triangle on left:
sinB'/10=sin45deg/8.2
sinB'=10*sin45deg/8.2=0.8623
B'=59.58deg or 120.42deg
as shown in the pic, B' > 90deg.
so B'=120.42deg.
the triangle on right has 2 sides at 8.2 so it is isosceles
B=adjacent < of B'
=180-120.42
=59.58deg
Answer:
Step-by-step explanation:
Here, x represents the number of tickets and y represents the number of T-shirts.
As per the statement:
Each ticket costs $25, and souvenir T-shirts are $12 each
⇒Total cost of ticket = 25x and Total cost for T-shirt = 12y
It is also given that there is a $4 service fee for the entire purchase.
Since, she has $130
⇒
Therefore, an inequality could you use to answer the problem is,
Answer:
1 1/5
Step-by-step explanation:
2/5 x 3 as a Fraction = 1 1/5
Improper Fraction = 6/5
Mixed Number = 1 1/5
Answer: 0.145
Step-by-step explanation:
Since,
the Probability of the older pump failing P(fail older) = 0.10
The probability of the newer pump failing P(fail newer) = 0.05
Therefore,
The Probability of the older pump not failing P(not fail older) = 1 - 0.1
P(not fail older) = 0.9
Also,
The probability of the newer pump not failing P(not fail newer) = 1 - 0.05 = 0.95
The probability of the pumping system failing = P(not fail older)* P(not fail newer) = 0.9*0.95
P(not fail system)= 0.855
Therefore,
The probability that the pumping system will fail = 1 - P(not fail system) = 1 - 0.855 = 0.145
The probability that the pumping system will fail one day is 0.145
