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3 years ago

In the triangle below, 4/5 represents which ratio?

Mathematics

2 answers:

ASHA 777 [7]3 years ago

8 0

Answer:
sin (C)

Explanation:
In a right-angled triangle, special trig functions can be applied. These functions are as follows:
sin (theta) = $\frac{opposite}{hypotenuse}$

cos (theta) = $\frac{adjacent}{hypotenuse}$

tan (theta) = $\frac{opposite}{adjacent}$ 

Now, let's check the triangle we have:
We have two options:
First option:
5 is the hypotenuse of the triangle
4 is the side adjacent to angle B
Therefore, we can apply the cos function:
cos (B) = $\frac{4}{5}$ 

Second option:
5 is the hypotenuse of the triangle
4 is the side opposite to angle C
Therefore, we can apply the sin function:
sin (C) = $\frac{4}{5}$

Among the two options, the second one is the one found in the choices. Therefore, it will be the correct one.

Hope this helps :)

Klio2033 [76]3 years ago

6 0

Answer:

Step-by-step explanation:

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Anna11 [10]

Answer:

140°

Step-by-step explanation:

total angle of a hexagon is 720. We know already 510°. That leaves 210°. The ratio between the two angles is 2:1, therefore angle CDE is 140° and angle DEF is 70 °

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3 years ago

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Jessica had m beads. She used 18 of them to make a necklace for her mom. Then she used the rest to make k bracelets for her frie

Y_Kistochka [10]

The expression to represent this would be (m-18)/k.

We first subtract the 18 beads she used in her mother's bracelet from her beginning number, m. We then divide our result by k, the number of bracelets she made for her friends.

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3 years ago

For each sentence, write an equation.

Dafna11 [192]

A) x/6=9
Subtract 6 from both sides, x=3

B) x/-4=-3
Add 4 to both sides, x=1

C) x/-5=7
Add 5 to both sides, x=12

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3 years ago

A market research team thinks that their new ad campaign is better than their old one. They used to be able to sell to 50% of th

andreev551 [17]

Answer:

a. The test statistic is 2 and we conclude that the new ad campaign is not signficantly better.

Step-by-step explanation:

They used to be able to sell to 50% of those who saw their ads. Test if the new campaign is better.

At the null hypothesis, we test is it is the same, that is, the proportion is the same.

$H_0: p = 0.5$

At the alternate hypothesis, we test if it is significantly better, that is, the proportion is above 50%.

$H_1: p > 0.5$

The test statistic is:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, $\sigma$ is the standard deviation and n is the size of the sample.

0.5 is tested at the null hypothesis:

This means that $\mu = 0.5, \sigma = \sqrt{0.5*0.5} = 0.5$

They take a random sample of 100 potential buyers and find that they convinced 60 of these people to buy their product.

This means that $n = 100, X = \frac{60}{100} = 0.6$

Test statistic:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

$z = \frac{0.6 - 0.5}{\frac{0.5}{\sqrt{100}}}$

$z = 2$

The test statistic is 2.

P-value of the test and decision:

The p-value of the test is the probability of finding a sample proportion above 0.6, which is 1 subtracted the by p-value of z = 2.

Looking at the z-table, z = 2 has a p-value of 0.9772.

1 - 0.9772 = 0.0228.

The p-value of the test is 0.0228 > 0.01, which means that we cannot conclude that the new ad campaign is signficantly better, so the correct answer is given by option A.

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3 years ago

Y=4(5/6)^x growth or decay

Alla [95]

It's a decaying equation

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3 years ago