Answer:
θ = 2π/3 or 5π/3
Step-by-step explanation:
2 cosθ + 1= 0
when + 1 goes to R H S Side than it becomes negative by transposition method
2 cos = -1
now by dividing by 2 both sides we get
cosθ = -
since cosθ is negative
Cosθ = - cos 60°
it means either cosθ lies in 2nd or third quadrant
θ = π - π/3
or
θ = 2π- π/3
so θ = 2π/3 or 5π/3
Answer:
With $30, Peter can afford 5 hours
Step-by-step explanation:
Given
Insurance Charge = $7.5
Charges = $4.5 per hour
Required
Determine the number of hours $30 can afford
First, we need to determine the equation.
<em>Total Charges = Charges per hour + Insurance Charge</em>
Substitute values for Charges per hour and Insurance Charge
Total Charges = 4.5 per hour + 7.5
Let the number of hours be n;
So,
Total Charges = 4.5n + 7.5
To calculate Peter's; substitute 30 for total charges
Subtract 7.5 from both sides
Divide both sides by 4.5
Hence;
<em>With $30, Peter can afford 5 hours</em>
we know that
1) You have of a pie leftover after your party
2) Each
guest takes home of the leftover pie
To find the fraction of the original pie does each guest take home,
Multiply by
so
<u>Simplify </u>
Divide by both numerator and denominator
therefore
<u>the answer is</u>
Answer:
The probability of the event that first ball that is drawn is blue is .
Step-by-step explanation:
Probability:
If S is is an sample space in which all outcomes are equally likely and E is an event in S, then the probability of E,denoted P(E) is
Given that,
An urn contains two balls B₁ and B₂ which are blue in color and W₁,W₂ and W₃ which are white in color.
Total number of ball =(2+3) =5
The number ways of selection 2 ball out of 5 ball is
=5²
=25
Total outcomes = 25
List of all outcomes in the event that the first ball that is drawn is blue are
B₁B₁ , B₁B₂ , B₁W₁ , B₁W₂ , B₁W₃ , B₂B₁ , B₂B₂ , B₂W₁ , B₂W₂ , B₂W₃
The number of event that the first ball that is drawn is blue is
=10.
The probability of the event that first ball that is drawn is blue is