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3 years ago

12

If the cos of angle x is 8 over 17 and the triangle was dilated to be two times as big as the original, what would be the value

of the cos of x for the dilated triangle? Hint: Use the slash symbol ( / ) to represent the fraction bar, and enter the fraction with no spaces

1 answer:

Viktor [21]3 years ago

6 0

Answer:

the answer is 8/17

Step-by-step explanation:

i got it right on the quiz

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Using the image above, what is the measure of Side AC? Round to the nearest hundredth

Evgesh-ka [11]

To solve this problem, we just have to use trigonometric ratios and apply which of the ratios is needed here and proceed to solve. The value of side AC is 2.85 units

<h3>Trigonometric Ratio</h3>

In the given diagram, we have the value of angle and hypothenuse and we are required to find the adjacent side of the triangle.

Data;

Angle = 32.9 degrees
Hypothenuse = 3.4

Let's use cosine rule for this.

$cos\theta = \frac{adjacent}{hypothenuse}$

Proceed to substitute the values into the equation and solve.

$cos 32.9 = \frac{AC}{3.4} \\AC=3.4cos32.9\\AC = 2.85$

From the calculations above, the value of side AC is 2.85 units

Learn more on trigonometric ratio here;

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2 years ago

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Answer:

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3 years ago

The slope of the ladder making an angle 30 degree with the floor is dash

shtirl [24]

Since, Ladder makes an angle 60

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with the floor as shown in figure.

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3 years ago

A hypothesis test is conducted with a significance level of 10%. The alternative hypothesis states that more than 15% of a popul

Drupady [299]

Answer:

D. We cannot conclude that more than 15% of the population has at least one sibling.

Step-by-step explanation:

Data given and notation

n represent the random sample taken

X represent the number of people who has at least one sibling

$\hat p$ estimated proportion of people who has at least one sibling

$p_o=0.15$ is the value that we want to test

$\alpha=0.1$ represent the significance level

Confidence=90% or 0.90

z would represent the statistic (variable of interest)

$p_v$ represent the p value (variable of interest)

Concepts and formulas to use

We need to conduct a hypothesis in order to test the claim that the true proportion of people who has at least one sibling is more than 0.15:

Null hypothesis: $p\leq 0.15$

Alternative hypothesis: $p > 0.15$

When we conduct a proportion test we need to use the z statistic, and the is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

The One-Sample Proportion Test is used to assess whether a population proportion $\hat p$ is significantly different from a hypothesized value $p_o$ .

Calculate the statistic

Let's assume that the calculated value for this case is $z_{calc}$

Statistical decision

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.

The significance level provided $\alpha=0.1$ . The next step would be calculate the p value for this test.

Since is a right tailed test the p value would be:

$p_v =P(z> z_{calc})=0.27$

So the p value obtained was a very high value and using the significance level given $\alpha=0.1$ we have $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 10% of significance the proportion of people who has at least one sibling is not significanlty higher than 0.15.

So then the best answer for this case would be:

D. We cannot conclude that more than 15% of the population has at least one sibling.

6 0

3 years ago

What is 494 x 20.62 rounded to the hundredths place?

DENIUS [597]

10186.28
And that’s how you do it

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3 years ago

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