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2 years ago

14

One of the legs of a right triangle measures 13 cm and its hypotenuse measures 17 cm. Find the measure of the other leg. If nece

ssary, round to the nearest tenth.

2 answers:

sammy [17]2 years ago

8 0

To find the lengths of a right triangle, we can use what is called Pythagorean Theorem: a^2 + b^2 = c^2, where a and b are the legs of the triangle and c is the hypotenuse.

13^2 + b^2 = 17^2

169 + b^2 = 289

b^2 = 120

b = 11.0 cm

The length of the other leg of the triangle is 11.0 cm (rounded).

Hope this helps!

IgorC [24]2 years ago

3 0

Formula : $a^{2} + b^{2} = c^{2}$ , where a;b are the 2 legs, c is the hypotenuse

Replace 13 and 17 in : $13^{2} +b^{2} = 17^{2}$

$b^{2} = 289 - 169 = 120$

$b = \sqrt{120} = 11.0$ (already rounded to nearest tenth)

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We need to follow PEMDAS.

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3 years ago

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tensa zangetsu [6.8K]

Answer:

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Step-by-step explanation:

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3 years ago

An automobile manufacturer has given its van a 31.3 miles/gallon (MPG) rating. An independent testing firm has been contracted t

Fynjy0 [20]

Answer:

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The p value for this case would be given by:

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Step-by-step explanation:

Information given

$\bar X=31.1$ represent the sample mean

$\sigma=1.3$ represent the population standard deviation

$n=140$ sample size

$\mu_o =31.3$ represent the value that we want to test

$\alpha=0.02$ represent the significance level for the hypothesis test.

z would represent the statistic

$p_v$ represent the p value

Hypothesis to test

We want to test if the true mean is equal to 31.3 MPG, the system of hypothesis would be:

Null hypothesis: $\mu =31.3$

Alternative hypothesis: $\mu \neq 31.3$

Since we know the population deviation, the statistic is given by

$z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}$ (1)

Replacing we got:

$z=\frac{31.1-31.3}{\frac{1.3}{\sqrt{140}}}=-1.82$

The p value for this case would be given by:

$p_v =2*P(z$

For this case since the p value is higher than the significance level we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly different from 31.3 MPG

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3 years ago

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OLEGan [10]

<h2>Answer with explanation:</h2>

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Since the alternative hypotheses is two tailed so the test is a two tailed test.

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Since the p-value (0.0433834) is greater than the significance level (0.02) , so we do not reject the null hypothesis.

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3 years ago

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Marta_Voda [28]

Answer:

Late response, sorry. It is 750 meters.

Step-by-step explanation:

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2 years ago