Ask question

Ask question

All categories

3 years ago

9

If one leg of a right triangle measures 3 centimeters and the other leg measures 6 centimeters, what is the length of the hypote

nuse?
A. 3√5 centimeters
B. 5√3 centimeters
C. 9 centimeters
D. √5 centimeters

2 answers:

Alekssandra [29.7K]3 years ago

6 0

The answer is A. USE PYTHAGOREAN THEOREM 3^2+6^2=c^2 9+36=c^2 45=c^2 c=3 sqrt5

Salsk061 [2.6K]3 years ago

4 0

Answer:

The correct option is A. $3\sqrt{5}$ centimeters.

Step-by-step explanation:

Consider the provided information.

It is given that the leg of a right triangle measures 3 centimeters and the other leg measures 6 centimeters.

Use Pythagorean theorem:

$(a)^2+(b)^2=(c)^2$

Where <em>c</em> is hypotenuse, <em>a</em> is leg and <em>b</em> is other leg.

Now substitute the values of leg in the above formula as shown:

$(3)^2+(6)^2=(c)^2$

$9+36=(c)^2$

$45=(c)^2$

$\sqrt{45}=c$

$3\sqrt{5}=c$

Hence, the correct option is A. $3\sqrt{5}$ centimeters.

You might be interested in

Which inequality is NOT true if y= -5

MatroZZZ [7]

Answer:

2y -10 > 13

Step-by-step explanation:

3 0

2 years ago

{System: I am having a bit of trouble calculating this. And I am reposting this sense I don’t think it’s fair to give only a lit

Darya [45]

Total volume of light-blue paint:

$\left(4+\dfrac38\right)+\left(6+\dfrac18\right)=10+\dfrac48=10+\dfrac12$

Divide by $\dfrac14$ to find how many containers he can divided this total into:

$\dfrac{10+\frac12}{\frac14}=4\left(10+\dfrac12\right)=40+\dfrac42=40+2=42$

so the answer is B.

3 0

3 years ago

kakasveta [241]

Answer:

She drove 12 hours

5+4+3=12

Step-by-step explanation:

5 0

2 years ago

Simplify the expression.<br> 4p + 12 - 6p + 6

Elza [17]

Answer:

-2p+18

Step-by-step explanation:

Combine like terms

8 0

3 years ago

Read 2 more answers

A leading magazine (like Barron's) reported at one time that the average number of weeks an individual is unemployed is 33.9 wee

MArishka [77]

Answer:

P(35.3 < M < 35.4) = 0.0040.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sample means with size n of at least 30 can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$

In this problem, we have that:

$\mu = 33.9, \sigma = 6.7, n = 119, s = \frac{6.7}{\sqrt{119}} = 0.6142$

Find the probability that a single randomly selected value is between 35.3 and 35.4

This is the pvalue of Z when X = 35.4 subtracted by the pvalue of Z when X = 35.3. So

X = 35.4

$Z = \frac{X - \mu}{\sigma}$

By the Central Limit Theorem

$Z = \frac{X - \mu}{s}$

$Z = \frac{35.4 - 33.9}{0.6142}$

$Z = 2.44$

$Z = 2.44$ has a pvalue of 0.9927

X = 35.3

$Z = \frac{X - \mu}{s}$

$Z = \frac{35.3 - 33.9}{0.6142}$

$Z = 2.28$

$Z = 2.28$ has a pvalue of 0.9887

0.9927 - 0.9887 = 0.0040

So the answer is:

P(35.3 < M < 35.4) = 0.0040.

4 0

3 years ago