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Alex17521 [72]
2 years ago
8

5. What is the measurement of each angle?

Mathematics
1 answer:
Alexxandr [17]2 years ago
6 0

Answer:

x=14

Step-by-step explanation:

The sum of a interior angle is 180°

(7x-11)+(2x-3)+(5x-2)°=180°

7x+2x+5x=180+11+3+2

14x/14=196/14

x= 14

Hope this answers your question!! :)

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The variance of a distribution is 195. What is the standard deviation, rounded to the nearest thousandth?
stiks02 [169]

Given:

The variance of a distribution = 195.

To find:

The standard deviation, rounded to the nearest thousandth.

Solution:

Standard deviation of a distribution is the square root of the variance of the distribution.

Here, the standard deviation of the distribution is

S.D.=\sqrt{195}

S.D.=13.96424

S.D.\approx 13.964

Therefore, the standard deviation is 13.964.

8 0
3 years ago
Using Euler's relation, derive the following relationships:a. Cosθ=½(e^jθ+e^−jθ)b. Sinθ=½(e^jθ−e(^−jθ)
Montano1993 [528]

Answer:

a. cosθ = ¹/₂[e^jθ + e^(-jθ)] b. sinθ = ¹/₂[e^jθ - e^(-jθ)]

Step-by-step explanation:

a.We know that

e^jθ = cosθ + jsinθ and

e^(-jθ) = cosθ - jsinθ

Adding both equations, we have

e^jθ = cosθ + jsinθ

+

e^(-jθ) = cosθ - jsinθ

e^jθ + e^(-jθ) = cosθ + cosθ + jsinθ - jsinθ

Simplifying, we have

e^jθ + e^(-jθ) = 2cosθ

dividing through by 2 we have

cosθ = ¹/₂[e^jθ + e^(-jθ)]

b. We know that

e^jθ = cosθ + jsinθ and

e^(-jθ) = cosθ - jsinθ

Subtracting both equations, we have

e^jθ = cosθ + jsinθ

-

e^(-jθ) = cosθ - jsinθ

e^jθ + e^(-jθ) = cosθ - cosθ + jsinθ - (-jsinθ)

Simplifying, we have

e^jθ - e^(-jθ) = 2jsinθ

dividing through by 2 we have

sinθ = ¹/₂[e^jθ - e^(-jθ)]

4 0
3 years ago
How many positive integers are in the solution set of the inequality below? -2x + 1 ≥ -6
coldgirl [10]

Answer:

3 integers, with values: 1,2,3

Step-by-step explanation:

-2x+1>=-6

2x-1<=6

2x<=7

Positive integers: x=1,2,3

Count: 3

7 0
2 years ago
Read 2 more answers
Cara saw an advertisement claiming 5 out of 6 students prefer talking on the phone over texting. She predicts that 500 out of 60
Sever21 [200]
5/6 is not the definite ratio, when you take a larger sample size it could be off by a bit like 499/600 or 501/600
8 0
3 years ago
Factor n^3 - n^2 + 3n - 3.
lozanna [386]
N^2(n - 1) + 3(n - 1)

(n^2 + 3)(n - 1)

the answer is c
5 0
2 years ago
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