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3 years ago

If a = 6, which of the following is equal to a-2? -36 -12 6 2

1 answer:

4 0

First Step: A=6 Then we need to know which of these three options fits best and equal to -2

Expression:6 which is A is now 6-2 which is 4 Now we will use this number and multiply it my 3 why because there’s a,6,and 2 we multiply it 4 times 3 giving us the answer off.

Answer -12

If this isn’t correct forgive me

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If tan x =8/15 and 0°<x<90°,find the value of cos x

Shtirlitz [24]

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Answer:

15/17

Step-by-step explanation:

cos(arctan(8/15)) = 15/17

You could assume the ratio values 8 and 15 represent the opposite and adjacent sides of a right triangle. Then the hypotenuse is ...

h = √(8² +15²) = √289 = 17

The cosine is the ratio of the adjacent side to the hypotenuse, so is ...

cos(x) = 15/17

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3 years ago

solve for each variable i don’t need work shown just the answers please thank you very much i have 2 hours to get this done

ale4655 [162]

Answer:

$(a)$

$x = 18.5$

$y = 22.5$

$(b)$

$x = 10$

Step-by-step explanation:

Solving (a):

7x - 19 and 3x + 14 are interior angles.

So:

$7x - 19 + 3x +14 = 180$

Collect like terms

$7x + 3x = 180 - 14 + 19$

$10x = 185$

$x = 18.5$

7x - 19 and 5y - 2 are equal angles --- corresponding angles

So:

$5y - 2 = 7x - 19$

Make 5y the subject

$5y = 7x - 19+2$

5y = 7x -17

Make y the subject

$y = \frac{1}{5} (7x - 17)$

Substitute $x = 18.5$

$y = \frac{1}{5} (7*18.5 - 17)$

$y = \frac{1}{5} (112.5)$

$y = 22.5$

Solving (b):

The triangle is right-angled.

So:

$5x + 3 + 2x + 17 + 90 = 180$

Collect Like Terms

$5x + 2x = 180 - 90 - 17-3$

$7x = 70$

$x = 10$

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3 years ago

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3 years ago

What advice would you give a friend who is sending someone mean messages?

gulaghasi [49]

They should talk to a trusted adult and confirm what is there problem.

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3 years ago

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A simple random sample of 60 items resulted in a sample mean of 65. The population standard deviation is 14. a. Compute the 95%

bazaltina [42]

Answer:

The 95% confidence interval for the population mean is between 61.5 and 68.5.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.95}{2} = 0.025$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.025 = 0.975$ , so $z = 1.96$

Now, find M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

$M = 1.96*\frac{14}{\sqrt{60}} = 3.5$

The lower end of the interval is the sample mean subtracted by M. So it is 65 - 3.5 = 61.5

The upper end of the interval is the sample mean added to M. So it is 65 + 3.5 = 68.5

The 95% confidence interval for the population mean is between 61.5 and 68.5.

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3 years ago

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