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3 years ago

If angle X and Y are complementary angles, which of the following must be true?

Mathematics

1 answer:

andrey2020 [161]3 years ago

5 0

Answer:

D) Cos X = Sin Y

Step-by-step explanation:

If angle X and Y are complementary angles, as shown in the attachment, then;

$\cos X=\frac{a}{b}$

and

$\sin Y=\frac{a}{b}$

We can see clearly that both ratios are the same.

This implies that:

$\cos X=\sin Y$

Therefore the correct answer from the given options is D

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What checking account fees can be avoided through good record keeping?

PSYCHO15rus [73]

B thats what i would put

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3 years ago

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mr. rogers gave his students a test that was worth 100 points erika earned an 84%, joe earned 5/6 of the total points, malcolm e

Cloud [144]

Hey!

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Find the amount of points each student earned!

Erika: 100 x 0.84 = 84 points earned out of 100.

Joe: 100 / 6 = 16.6667... x 5 = 83.333... = 83.3 points earned out of 100.

Malcolm: √7225 = 85 points earned out of 100.

Stephanie: 83/100 = 83 points earned out of 100.

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Plot the points of each student on the number line you were given!

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Hope This Helped! Good Luck!

4 0

3 years ago

Read 2 more answers

Solve for x.<br><br> 0.5x+78.2=287

Alona [7]

Answer:

x =417.6

Step-by-step explanation:

0.5x+78.2=287

Subtract 78.2 from each side

0.5x+78.2-78.2=287-78.2

.5x =208.8

Divide each side by .5

.5x/.5 = 280.8/.5

x =417.6

8 0

3 years ago

Find the midpoint of the segment formed by the points D(8, 6) and E(4, 10).

bixtya [17]

D (8, 6)
E (4, 10)

$x_{midpoint} = \cfrac{x_D+x_E}{2} = \cfrac{8+4}{2}=6 \\ \\ y_{midpoint} = \cfrac{y_D+y_E}{2} = \cfrac{6+10}{2}=8
$

Answer: B. (6, 8)

6 0

3 years ago

In an examination of purchasing patterns of shoppers, a sample of 16 shoppers revealed that they spent, on average, $54 per hour

Lesechka [4]

Answer:

$54-1.64\frac{21}{\sqrt{16}}=45.39$

$54 +1.64\frac{21}{\sqrt{16}}=62.61$

So on this case the 90% confidence interval would be given by (45.39;62.61)

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X=54$ represent the sample mean

$\mu$ population mean (variable of interest)

$\sigma=21$ represent the sample standard deviation

n=16 represent the sample size

Solution to the problem

The confidence interval for the mean is given by the following formula:

$\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

Since the Confidence is 0.90 or 90%, the value of $\alpha=1-0.9=0.1$ and $\alpha/2 =0.05$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.05,0,1)".And we see that $z_{\alpha/2}=1.64$

Now we have everything in order to replace into formula (1):

$54-1.64\frac{21}{\sqrt{16}}=45.39$

$54 +1.64\frac{21}{\sqrt{16}}=62.61$

So on this case the 90% confidence interval would be given by (45.39;62.61)

4 0

3 years ago