All categories

3 years ago

Find the unknown side length, x. Write your answer in simplest radical form

Mathematics

1 answer:

dybincka [34]3 years ago

8 0

Since we have a square, the triangle has sides: x, 6, and 3.

Using Pythagoras' Theorem, we get:
x² = 6² + 3²
x² = 36 + 9
x² = 45
x = √45 = 3√5

You might be interested in

Please help!!!!!!!!!!!!!!!!!

Vanyuwa [196]

Answer:

5x-3

Step-by-step explanation:

4 0

3 years ago

What is 18/21 simplest form

-Dominant- [34]

18 ÷ 3 = 6
21 ÷ 3 = 7

Answer: 6/7

6 0

3 years ago

Read 2 more answers

PLEASE HELP!!! Stacy uses a spinner with 6 equal sized sections numbered 2,2,3,4,5,6. Is this a fair spinner? Explain why or why

Rasek [7]

Answer:

Step-by-step explanation:

becuase there are 2 2's and 1 of 4 5 and 6 so it's more likely to land on 2 than other numbers

7 0

3 years ago

Which one is the answer A.HL<br> B.LL<br> C.HA<br> D.LA

ira [324]

Answer:

Step-by-step explanation:

Both triangles are right.

We are given that legs MN = BC and ∠L = ∠A

Hence leg/ angle (LA ) verifies similarity

7 0

4 years ago

A professor wants to estimate the average time it takes his students to finish a computer project. Based on previous evidence, h

vova2212 [387]

Answer:

A sample size of 3 is required.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1 - 0.96}{2} = 0.02$

Now, we have to find z in the Z-table as such z has a p-value of $1 - \alpha$ .

That is z with a pvalue of $1 - 0.02 = 0.98$ , so Z = 2.054.

Now, find the margin of error M as such

$M = z\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

Based on previous evidence, he believes that the standard deviation is approximately 3.6 hours.

This means that $\sigma = 3.6$

He would like to be 96% confident that his estimate is within 5 hours of the true population mean. Use RStudio to determine how large of a sample size is required without rounding any interim calculations.

The sample size needed is of n, and n is found when M = 5. So

$M = z\frac{\sigma}{\sqrt{n}}$

$5 = 2.054\frac{3.6}{\sqrt{n}}$

$5\sqrt{n} = 2.054*3.6$

$\sqrt{n} = \frac{2.054*3.6}{5}$

$(\sqrt{n})^2 = (\frac{2.054*3.6}{5})^2$

$n = 2.19$

Rounding up:

A sample size of 3 is required.

4 0

3 years ago

﻿Find the unknown side length, x. Write your answer in simplest radical form

Find the unknown side length, x. Write your answer in simplest radical form