Cos(B) = adjacent / hypotenuse
Cos(B) = 11/27
Cos(B) = 0.4074
B = Cos-1(0.4074)
Put this into your calculator like this.
2nd function Cos-1
(
0.4074
=
65.96 <<<<<< answer
Answer:
x = -5, y= 7. You can check this yourself by plugging in the numbers.
Step-by-step explanation:
Answer:
Step-by-step explanation:
We can use the distance formula to solve this problem.
This distance formula states that the distance between two points and is equal to .
School is at coordinate point (9,6) and the closest point to school on Cherry St. is (4,-4).
Thus, the distance between school and Cherry Street is
Answer:
The answer is below
Step-by-step explanation:
1)
mean (μ) = 12, SD(σ) = 2.3, sample size (n) = 65
Given that the confidence level (c) = 90% = 0.9
α = 1 - c = 0.1
α/2 = 0.05
The z score of α/2 is the same as the z score of 0.45 (0.5 - 0.05) which is equal to 1.65
The margin of error (E) is given as:
The confidence interval = μ ± E = 12 ± 0.47 = (11.53, 12.47)
2)
mean (μ) = 23, SD(σ) = 12, sample size (n) = 45
Given that the confidence level (c) = 88% = 0.88
α = 1 - c = 0.12
α/2 = 0.06
The z score of α/2 is the same as the z score of 0.44 (0.5 - 0.06) which is equal to 1.56
The margin of error (E) is given as:
The confidence interval = μ ± E = 23 ± 2.8 = (22.2, 25.8)
Answer:
Solution for 2x-10=16 equation:
2x - 10 = 16
2x = 16 + 10
2x = 26 (divide both sides by 2 to get x)
2x/2 = 26/2
x = 13
Step-by-step explanation: