Answer:
(5,-15,)
Step-by-step explanation:
Answer:
y = 5√3
x = 10√3
Step-by-step explanation:
From the given sides
Adjacent = 15
Opposite = y
Hypotenuse = x
Angle of depression = 30degree
Using the SOH CAH TOA identity
tan theta = opp/adj
tan 30 = y/15
y = 15tan30
y = 15(1/√3)
y = 15√3/3
y = 5√3
Similarly
cos theta = adj/hyp
cos 30 = 15/x
x = 15/cos30
x = 15 /√3/2
x = 30/√3
x = 30√3/3
x = 10√3
Answer:
<h2>p(B) =
8310</h2>
Step-by-step explanation:
We will use the addition rule of probability of two events to solve the question. According to the rule given two events A and B;
p(A∪B) = p(A)+p(B) - p(A∩B) where;
A∪B is the union of the two sets A and B
A∩B is the intersection between two sets A and B
Given parameters
P(A)=15
P(A∪B)=1225
P(A∩B)=7100
Required
Probability of event B i.e P(B)
Using the expression above to calculate p(B), we will have;
p(A∪B) = p(A)+p(B) - p(A∩B)
1225 = 15+p(B)-7100
p(B) = 1225-15+7100
p(B) = 8310
Hence the missing probability p(B) is 8310.