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Gnoma [55]
3 years ago
13

Copy and complete the table on the previous page into a Word document. Title your journal "Pythagorean Theorem". Discuss any rel

ationships you see in the table? Then, look at the equation below and calculate whether a2 + b2 is >, <, or = to c2 based on the numbers you recorded in your table.
I attached the chart (in blue) and the assignment! Can someone please help, I don't understand!

Mathematics
1 answer:
scoundrel [369]3 years ago
7 0
In trigonometry, the right triangle is considered a special triangle because there are derived equations solely for this type. It is really convenient when dealing right triangle problems because it is more simplified courtesy of the Pythagorean theorems. It is derived that the square of the hypotenuse (longest side of the triangle) is equal to the sum of the squares of the other two legs. In equation, that would be c² = a² + b². For this activity, all you have to do is find the sum of the squares in columns a and b. Then, see if this is equal to the square of the values in column c. Let's calculate each row:

Row 1:
3² + 4² ? 5²
25 ? 25
25 = 25

Row 2:
5² + 12² ? 13²
169 ? 169
169 = 169

Row 3:
9² + 12² ? 15²
225 ? 225
225 = 225

Therefore, all of the given values conform to a² + b² = c².
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Pls help, will interact!!
anzhelika [568]

Answer:

C

Step-by-step explanation:

sorry if I'm wrong

8 0
2 years ago
The length of a rectangle is 5 centimeters less than twice it’s width. The perimeter of the rectangle is 80 cm. What are the dim
algol [13]
<h3><u>The length is equal to 25.</u></h3><h3><u>The width is equal to 15.</u></h3>

l = 2w - 5

2l + 2w = 80

We have a value for l, so we can plug it into the second equation to solve for w.

2(2w - 5) + 2w = 80

Distributive property.

4w - 10 + 2w = 80

Combine like terms.

6w - 10 = 80

Add 10 to both sides.

6w = 90

Divide both sides by 6.

w = 15

Now that we have a value for w, we can plug it into the original equation to solve for l.

l = 2(15) - 5

l = 30 - 5

l = 25


3 0
3 years ago
What's one third multiply 3
allsm [11]
Simple! 1/3 times 3 equals 3/3, or 1.
7 0
3 years ago
Read 2 more answers
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
-3 1/2= 1/2x+1/2x+x A)-1 3/4 B)-5 1/2 C)-1 1/2 10points each
rosijanka [135]

Answer:

-1 3/4 =x

Step-by-step explanation:

-3 1/2= 1/2x+1/2x+x

Combine like terms

-3 1/2 = 2x

Change to an improper fraction

- ( 2*3+1)/2 = 2x

-7/2  = 2x

Multiply each side by 1/2

-7/2 *1/2 = 2x* 1/2

-7/4 = x

Changing to a mixed number

-4/4 -3/4 =x

-1 3/4 =x

4 0
3 years ago
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