Answer:
Cos θ = √7/3
Step-by-step explanation:
From the question given above, the following data were obtained:
Sine θ = √2 / 3
Cos θ =?
Recall
Sine θ = Opposite / Hypothenus
Sine θ = √2 / 3
Thus,
Opposite = √2
Hypothenus = 3
Next, we shall determine the Adjacent. This can be obtained as follow:
Opposite = √2
Hypothenus = 3
Adjacent =?
Hypo² = Adj² + Opp²
3² = Adj² + (√2)²
9 = Adj² + 2
Collect like terms
9 – 2 = Adj²
7 = Adj²
Take the square root of both side
Adjacent = √7
Finally, we shall determine the value Cos θ. This can be obtained as follow:
Adjacent = √7
Hypothenus = 3
Cos θ =?
Cos θ = Adjacent / Hypothenus
Cos θ = √7/3
X = 60°
To work this out, you would do 50°+70° to get 120°. You would then subtract this from 180° (the total for any triangle) to get the final answer of 60°.
I say A=b*h
=312 hope this helps
Answer:
The number of different ways the car can be built is 31 different ways
Step-by-step explanation:
The given options are'
1), Leather seats, 2) Heated seats, 3) Sunroof, 4) Tinted windows, 5), back up camera
Therefore, the number of different ways the car can be built, n, is given as follows;
n = ₅C₁ + ₅C₂ + ₅C₃ + ₅C₄ + ₅C₅
n = 5 + 10 + 10 + 5 + 1 = 31 different ways
The number of different ways the car can be built = n = 31 different ways
Answer:
The probability that a randomly selected monthly cell phone bill is less than $95 is 0.9772
Step-by-step explanation:
The average monthly household cellular phone bill is $73.
Local monthly household cell phone bills are normally distributed with a standard deviation of $11.
We are supposed to find the probability that a randomly selected monthly cell phone bill is less than $95 i.e.P(x<95)
Z=2
Refer the z table for p value
So,p value = 0.9772
Hence the probability that a randomly selected monthly cell phone bill is less than $95 is 0.9772