1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Wewaii [24]
2 years ago
11

Geometry Pythagorean theorem

Mathematics
1 answer:
lara31 [8.8K]2 years ago
5 0

Answer:

Below!

Step-by-step explanation:

Using Pythagoras theorem, I will solve all of the problems.

<h3>________________________________________________</h3>

<u>Question 9:</u>

  • 10² = 6² + x²
  • => 100 = 36 + x²
  • => 100 - 36 = x²
  • => 64 = x²
  • => x = 8
<h3>________________________________________________</h3>

<u>Question 10:</u>

  • 26² = 24² + x²
  • => 676 = 576 + x²
  • => 676 - 576 = x²
  • => 100 = x²
  • => x = 10
<h3>________________________________________________</h3>

<u>Question 11:</u>

  • 15² = 12² + x²
  • => 225 = 144 + x²
  • => 225 - 144 = x²
  • => 81 = x²
  • => x = 9
<h3>________________________________________________</h3>

<u>Question 12:</u>

  • x² = 8² + 12²
  • => x² = 64 + 144
  • => x² = 208
  • => x = √208
  • => x = 14.2 (Rounded)
<h3>________________________________________________</h3>

<u>Question 13:</u>

  • 7² = 2² + x²
  • => 49 = 4 + x²
  • => 49 - 4 = x²
  • => 45 = x²
  • => x = √45
  • => x = 6.7 (Rounded)
<h3>________________________________________________</h3>

<u>Question 14</u>

First, let's solve for the variable x using Pythagoras theorem.

  • => 5² = 3² + x²
  • => 25 = 9 + x²
  • => 16 = x²
  • => x = 4 units

Now, let's solve for the variable y using Pythagoras theorem.

  • (3 + 6)² = 5² + y²
  • => (9)² = 25 + y²
  • => 81 = 25 + y²
  • => y² = 56
  • => y = √56
  • => y = 7.5 (Rounded) units

Answers (Nearest tenth):

  • x = 4 units
  • y = 7.5 units
<h3>________________________________________________</h3>

<u>Question 15:</u>

First, let's find the value of the variable y using Pythagoras theorem.

  • 8² = 6² + y²
  • => 64 = 36 + y²
  • => 28 = y²
  • => y = √28
  • => y = 5.3 (Rounded) units

Now, let's find the value of the variable x using multiplication.

  • x = 2y
  • => x = 2(5.3)
  • => x = 10.6 units

Answer (Nearest tenth)

  • x = 10.6 units
  • y = 5.3 units
<h3>________________________________________________</h3>
You might be interested in
Find circumference when pi is 22/7
sashaice [31]

Answer:

what is radius

Step-by-step explanation:

tell me what is the radius

8 0
3 years ago
When i wrote the question on text it didnt work
qwelly [4]

Answer:

The answer is x>3

Step-by-step explanation:

8x-6>6x

2x>6

x>3

hope this helps -Cam♡

8 0
3 years ago
PLS HELP!
makvit [3.9K]

Answer:

5.81%

Step-by-step explanation:

8 0
2 years ago
Solve the equation -15=a/5 <br> A=-3<br> A=-20<br> A=-10<br> A=-75
agasfer [191]

To solve any equation, you do whatever you need to do 
to wind up with the unknown quantity all alone on one side.
BUT ... whatever you do to one side of the equation, you must
also do to the other side.

Here, we have the
he original equation:           -15  =  a/5

Multiply each side by 5 :     -75  =  a

and bada-bing, THERE's the solution !
4 0
3 years ago
Given that a 90% confidence interval for the mean height of all adult males in Idaho measured in inches was [62.532, 76.478]. Us
grigory [225]

Answer:

The confidence interval on this case is given by:

\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}} (1)

For this case the confidence interval is given by (62.532, 76.478)[/tex]

And we can calculate the mean with this:

\bar X = \frac{62.532+76.478}{2}= 69.505

So then the mean for this case is 69.505

Step-by-step explanation:

Previous concepts

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

\bar X represent the sample mean  

\mu population mean (variable of interest)  

\sigma represent the population standard deviation  

n represent the sample size  

Assuming the X follows a normal distribution  

X \sim N(\mu, \sigma)

The confidence interval on this case is given by:

\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}} (1)

For this case the confidence interval is given by (62.532, 76.478)[/tex]

And we can calculate the mean with this:

\bar X = \frac{62.532+76.478}{2}= 69.505

So then the mean for this case is 69.505

5 0
3 years ago
Other questions:
  • A wheel on Aldo's bicycle is 1.1 ft in diameter. Aldo races the bicycle for 110 ft . How many times does the wheel turn as the b
    7·1 answer
  • You planted 488 acres of corn last season. you sold all your corn: 8,120 bushels in August and 64,100 bushels in September. what
    8·2 answers
  • Determine the vertex of the function f(x) = 3x2 – 6x + 13.
    13·1 answer
  • In a race in which 10 automobiles are answered and there are no ties, in how many ways can the first three finishers come in ?
    5·1 answer
  • Through: (-1, -1) and (5,0)<br> What is the slope-intercept form?
    11·1 answer
  • The GCF of 21 and 35 is
    12·1 answer
  • Find the answer to: 2/3 +1/6
    6·1 answer
  • Ari's teacher says he may have his report grade based on either the mean or the median of his last six test scores
    7·1 answer
  • PLEASE HELP ASAP!!!!!!
    8·2 answers
  • What’s the rate of change of the table above? <br> A) -1/3<br> B) 1/2<br> C) -1/4<br> D) 1/5
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!