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3 years ago

The measure of angle O is 7pi/4. The measure of its reference angle is _degree, and tan O is _?

Mathematics

2 answers:

Fofino [41]3 years ago

6 0

Identities that come from sums, differences, multiples, and fractions of angles

andrew-mc [135]3 years ago

4 0

The measure of angle θ = 7pi/6. To convert this to degrees, substitute pi with 180 degrees. Pi is always equal to 180 degrees.

0 become:7 x 180/6
Therefore, 0 = 210 degrees.
And,to solve for sin 0, you can directly input sin (210) in the calculator.
Thus, sin 0 = sin (210) = -0.5 or -1/2

I belive

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A paint company claims their paint will be completely dry within 45 minutes after application. Recently, customers have complain

Angelina_Jolie [31]

Answer:

The probability of observing a sample mean of x = 52 or greater from a sample size of 25 is 0.0000026

Step-by-step explanation:

Mean = $\mu = 45$

Population standard deviation = $\sigma = 6$

Sample size = n =25

Sample mean = $\bar{x} = 52$

We are supposed to find the probability of observing a sample mean of x = 52 or greater from a sample size of 25 i.e. $P(x\geq 52)$

$Z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}\\Z=\frac{52-45}{\frac{6}{\sqrt{25}}}$

Z=5.83

P(Z<52)=0.9999974

$P(Z\geq 52)=1-P(z$

Hence the probability of observing a sample mean of x = 52 or greater from a sample size of 25 is 0.0000026

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3 years ago

0.000014565 in scientific notation

Eddi Din [679]

1.4565 * 10 ^ - 5

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8 0

3 years ago

8. which of the following ordered pairs is a solution of the given system of linear equations

V125BC [204]

Answer:

Option D The solution of the system is the point (-3,5)

Step-by-step explanation:

we have

x+y=2 -----> equation A

y=-2x-1 ------> equation B

Solve the system by substitution

Substitute the equation B in equation A and solve for x

x+(-2x-1)=2

-x-1=2

x=-2-1

x=-3

Find the value of y

y=-2x-1

y=-2(-3)-1

y=5

therefore

The solution of the system is the point (-3,5)

3 0

3 years ago

Solve the equation. 6x + 7 = 8x-15 help :(

Anvisha [2.4K]

Start by getting all terms with x on one side and all terms without on the other.

6x+7=8x-15

subtract 6x from both sides

7=2x-15

add 15 to both sides

22=2x

divide both sides by 2

11=x

7 0

3 years ago

Read 2 more answers

Joe is 5 years older than Sydney. The sum of their ages is 45. What is Sydney’s age?

sweet-ann [11.9K]

Answer:

20 years old

Step-by-step explanation:

Joe = J

Sydney = S

J = 5 + S

J + S = 45

Substitute

5 + S + S = 45

Add

5 + 2S = 45

Subtract 5 from both sides of the equation

2S = 40

Divide both sides of the equation by 2

S = 20

Sydney is 20 years old

Hope this helps :)

8 0

3 years ago