A right triangle has side 32 and hypotenuse 68 use the Pythagorean theorem to find the length of the third side?

Answers

Answer 1

Answer:

Step-by-step explanation:

x is the third side

x² + 32² = 68²

x² = 68² - 32² = 3600

x = √3600 = 60


Related Questions

Please help will give correct answer brainliest

what information is necessary to prove that the two triangles are similar by the AA similarity theorem? show your work​

Answers

Answer:

Step-by-step explanation:

Let us begin with the AA Similarity definition. It states that if two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.

This means that we need:

An angle of one triangle that is congruent to an angle of the other triangle.Another angle of one triangle that is congruent to another angle of the other triangle.

For this problem, it is unclear that there are more than one angles that are congruent to each other. We see that angle <DEF and <ABC are congruent, but the problem does not give any other angles. In another case, we must find one more to prove similarity by the AA similarity theorem.

Dawn is playing a word game. The scores for her first nine words are:
14, 23, 9, 15, 17, 22, 24, 17, 21
Which best describes her scores?

Answers

Answer:

The minimum is 9 the maximum is 24 and the range is 9

Step-by-step explanation:

The minimum is 9 and the maximum is 24 and the range is 15

What is the range of a set of observations?

The difference between the highest and lowest values in the observation is known as the range of the observation.

Given here: 14, 23, 9, 15, 17, 22, 24, 17, 21

Clearly max. value =24 and min. value=9

∴ Range= 24-9

              =15

Hence, The minimum is 9 and the maximum is 24 and the range is 15

Learn more about the range here:

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Find the value of x and y.
20
X
12
у
X =
y =

Answers

Answer:

Step-by-step explanation:

Therefore: The slope is: m=1. The y -intercept is: b=12 or (0,12)

1
1 point
The force, I needed to move a rock varies inversely as the length, L, of the crowbar used. When the length is 80 cm, the force needed is 1.5 N. Find the force needed when
the length of the crowbar is 120 cm
Type your answer..
3

Answers

9514 1404 393

Answer:

  1.0 N

Step-by-step explanation:

When the length increases by the factor 120/80 = 3/2, the force required is multiplied by the inverse of this: 2/3.

The required force is ...

  (2/3)(1.5 N) = 1.0 N

Can someone solve this please

Answers

Question 47= 33 ounces
Question 48= 98 Fahrenheit
Question 49= 127 millimeters
Last question= 2 inches

Which set of ordered pairs represents a function?
{(-7,-1), (7,-1),(-9,3), (-9,2)}
{(3,5), (7,9),(4,4), (3,3)}
{(3,-2), (-7,6),(-5, -8), (3, -6)}
{(0,2).(-9,7),(-6, -1),(-2,2)}

Answers

Answer:

The last one

Step-by-step explanation:

Answer:

{(0,2), (-9,7), (-6, -1), (-2,2)}

Step-by-step explanation:

You can see if points are a function by seeing if the first value in the parenthesis (X value) and if they are the same, the points are not a function. The only points where the first value in the parenthesis are not the same is in the fourth set of points.

401(<) the contributions are tax deductible, and income generated by the account is

401(k), the contributions are taxable when deposited, but when the money is withdrawn at retirerment they are

In a traditional

In a Roth

Answers

Answer:

First Blank: Traditional

Second Blank: (the other choice, besides exempt)

Third Blank: Roth

Fourth Blank: Taxes exempt

Step-by-step explanation:

I got 5/5 on the test by reading through the other guys answer.

In a traditional 401(k), it is tax deferred because the income earned isn't taxed until the money is withdrawn.

What is income tax?

Income tax is a tax applied on individuals or entities concerning income or profit earned by them.

A 401 k is a qualified tax-advantaged saving retirement plan. Usually, The 401K  plans are employer-sponsored. Employee contributions to the 401 k plans are deducted from the payroll before the taxes can be calculated.

This means that the employee contribution is not taxed at the time it's withheld by the employer.

The amounts saved are invested in market securities such as shares and companies bonds. The tax due from the money from the investment is deferred to the time of withdrawal.

The employee are needed to pay taxes on contributions and investments earning every financial year.

In a traditional 401(k), it is tax deferred because the income earned isn't taxed until the money is withdrawn.

Learn more about tax here;

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Mary Chapman had been working at First Savings for 18 years when she
became permanently disabled and could not continue to work. She was 50 years
old and had planned to retire in 12 years. Her final average salary was $34,500.
First Savings' rate of benefits is 2%. What is Chapman's monthly disability
benefit?

Answers

Answer:

17250

Step-by-step explanation:

A triangle is dilated by scale factor of 1/5 in a rotated night degrees clockwise about the origin why is the image similar to the pre image

Answers

9514 1404 393

Answer:

  conditions for similarity are not violated by the transformation

Step-by-step explanation:

Dilation changes linear measures proportionally, and has no effect on angles. Rotation changes neither lengths nor angles. Hence the dilated, rotated triangle has the same angles as the original, and has proportional side lengths. Those are the requirements for figures to be similar, so the triangles are similar.

Answer:

The corresponding angles of the triangles are congruent

The image is a reduction of the pre-image

Neither the dilation nor the rotation change the shape of the triangle

Explanation:

For shapes to be similar:

1- there should be a ratio between the sides

2- angles in first shape should be congruent to angles in second shape

Now, a scale factor of 0.2 means that the sides of the image are 0.2 of the length of the original shape. However, angles are not changes

Let's check the choices:

1- The corresponding sides of the triangles are congruent:

This option is incorrect as dilation changes the lengths of the sides

2- The corresponding angles of the triangles are congruent:

This option is correct as neither dilation nor rotation alters the measures of the angles

3- The corresponding sides of the image are 5 times as long as those of the pre-image:

This option is incorrect as the sides of the image are only 0.2 times as long as those of the pre-image

4- The image is a reduction of the pre-image:

This option is correct as the sides of the image are 0.2 times those of the pre-image which means that the shape is reduced

5- Neither the dilation nor the rotation change the shape of the triangle:

This option is correct as both dilation and rotation are rigid transformations that do not alter the shape of the triangle (a triangle remains a triangle only with different side lengths)

6- The rotation reduces the size of the triangle:

This option is incorrect as rotation does not alter the size of the shape. It only changes its position

Hope this helps :)

12. x + y = 4
And the next question is
13. -7 x = y
Pls answer ASAP and explain why!! Thank you!!

Answers

Answer:

[tex]x = - \frac{2}{3} \: \: \: y = \frac{14}{3} [/tex]

Step-by-step explanation:

Since we know -7x=y we use the substitution method and plug it in the top equation.

[tex]x + - 7x = 4[/tex]

[tex] - 6x = 4[/tex]

[tex]x = - \frac{4}{6} [/tex]

or x=-2/3

Then plug it back in the the bottom equation

[tex] - 7( \frac { - 2}{3} ) = y[/tex]

y=14/3

Which graph represents the parametric equations x = 1 – t2 and y = 2t, where 0 ≤ t ≤ 5?

ANSWER: A

Answers

After plotting the above equation on the coordinate plane, we can see the graph of the function.

What are parametric equations?

A parametric equation in mathematics specifies a set of numbers as functions of one or more independent variables known as parameters.

We have two parametric equations:

x = 1 – t² and

y = 2t

t = y/2  and

0 ≤ t² ≤ 5

1 ≤ 1 - t²≤ 4

1 ≤ x≤ 4

Plug the above value in x = 1 – t²

x = 1- (y/2)²

x = 1 - y²/4

4x = 4 - y²

y² = 4(1 - x)

Thus, after plotting the above equation on the coordinate plane, we can see the graph of the function.

Learn more about the parametric function here:

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Which is the measure of
A) 93* B)113* C)138* D)180*

Answers

Answer:

A) 93 degrees

Step-by-step explanation:

a is supplementary to 93 degrees so A=180-87=93

Answer:

<A+87=180(linear pair)

<A=180-87=93°

is required value of <A

1 2/3 - 3/5 as fraction

Answers

Answer:

1  1/15 or 16/15

Step-by-step explanation:

Find the common denominator.

25/15 - 9/15 = 16/15

Have a nice day!!

Hope this helps!!

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
Vlewer's Age Group
Excellent
Good
Average
Poor
Marginal Total
16-25
52
113
42
12
7
26-35
33
97
50
5
9
36-45
58
12
28
34
132
46-55
25
17
22
12
76
56+
12
5
3
8
28
Marginal Total
180
126
70
70
446
Note: A rating of good or excellent means the audience liked the movie, while a rating of poor means the audience disliked
the movie.
A movie producer conducted a survey after a preview screening of her new movie to find out how the film would be received by viewers from
different age groups. The table shows the numbers of viewers in different age groups who rated the film excellent, good, average, and poor.
%. Write your
Out of the total respondents, the percentage of respondents from the 46-55 age group who rated the film excellent is
answer up to two decimal places.
Reset
Next

Answers

It’s excellent and good and ever had and

Can anyone help explain this my daughter is 7 does not understand it

Answers

it’s basically addition. in the first square , you put the number that adds with 426 to make 726. the second square you add 10 to the 726 and put the answer there. third square you put the number that adds with the answer in the second square to equal 741.

find the measure of the missing angle to the nearest degree, with showing your work.​

Answers

[tex]\cos\theta=\frac{10}{14}\\ \\

\theta=\cos^{-1}\frac{10}{14}\\ \\

\theta=44^o [/tex]

MATRIX X IS SHOWN BELOW

Answers

Answer:

4

Step-by-step explanation: thast it

Answer: 40

Step-by-step explanation:

If a rectangular prism has a width of 5, a height of 4, and a length of 9, what is the volume of this prism if it was dilated by a scale 1/2?

Answers

Answer:

90

Step-by-step explanation:

5x4x9=180

180x.5=90

hope this is what you were looking for!

a baby goraffe is about 6 1/2 feet tall at birth and grows about 1/2 foot per month for its first year. The function h=1/2m+61/2 represents the total height h of a baby giraffe for any number of months m within ita firat year. How much taller is the giraffe at the end of the month 11 than at the end of month 2​

Answers

Answer: 4 and 1/2 ft  (or 4.5 ft) taller.

Step-by-step explanation:

The function h(m) = (1/2)*m + (6 + 1/2) represents the height (on feet) of the giraffe as a function of the number of months, m.

We want to find the difference in the height between month 11 and month 2, then we need to find:

difference = h(11) - h(2)

We can directly calculate this:

difference = [ (1/2)*11 + (6 + 1/2)] - [(1/2)*2 + (6 + 1/2)]

difference = (1/2)*11 - (1/2)*2 = (1/2)*(11 - 2) = (1/2)*(9) = 9/2

And we can write 9 = 9 + 1, then:

difference = 9/2 = (8 + 1)/2 = 8/2 + 1/2 = 4 + 1/2

And this is in feet, then the girrafe is (4 and 1/2) ft taller on month 11 than on month 2.

Please help me now!!!!

Answers

Answer:

20

Step-by-step explanation:

Answer:

Hello! I hope you are having a great day~

Here is the answer:

Mean Absolute Deviation (MAD): 4.33

Step-by-step explanation:

Mean absolute deviation (MAD) of a data set is the average distance between each data value and the mean. Mean absolute deviation is a way to describe variation in a data set. So the average distance is 4.33! It has already been rounded to the hundredth place

i got 413 pointssssssssssssssssssssss who wants em cuz i am leaving brainlry for answers

Answers

Answer:

ayooo i'll take it

Step-by-step explanation:

thanks

Answer:

Ooh a couple more for 100 points!!

Step-by-step explanation:

The population of a small town is growing at a rate of 5% per year. If the population right now is 22 000, What will the population be 10 years from now?

Answers

Answer:

35,836

Step-by-step explanation:

I had this question before and I believe this is correct.

Answer:

the population 35,836 in 10 years.

Step-by-step explanation:

The numbers representing the population in consecutive years create a geometrical sequence with:

a1 = 22,000

and

q = 1 + 0.5 = 1.05

We are asked to find the population after

10 years. This number is the eleventh term in the sequence, so we are looking for:

a11 = a1 ⋅ q^10 = 22, 000 ⋅ (1.05)^10

After substitution of given data we have:

a11 ≈ 35, 836

*Answer:* "After 10 years the population will be 35, 836."

Brady has a card collection with 32 baseball cards, 64 football cards, and 24 baseball cards. He wants to arrange the cards in equal piles, with only one type of card in each pile.

Answers

You have to find the GCF or the Greatest Common Factor which is 8
So you will have 4 piles of baseball cards, 8 piles of football cards, and 3 piles of baseball cards again
(I think you meant basketball cards and if not add 3+4=7 so you get 7 baseball cards if it wasn’t a typo)
Hope this helps :)

1. Maya had a dozen white eggs
and a dozen brown eggs in her
refrigerator. She used 6 white
eggs and 8 brown eggs to make
breakfast. How many eggs does
she have left?

Answers

Answer:

6 white & 4 brown

Step-by-step explanation:

12-6=6

12-8=4

-4x-2y=-12
solve the system of equations

Answers

um there needs to be another equation

I have a question, do you think School is necessary during a pandemic? If so then explain why

Answers

Answer:

Step-by-step explanation: Honestly, I don't dislike school. With the rather boring state we're in, school is generally a passtime. But, It depends on your emotional health. Some kids have their parents or relatives getting infected, which takes a toll. And now, teachers barely let us skip for any reason, even if it's more emotional health. So, I would say yes and no.

Mark is thinking of a square number whose digits add up to seven.
Write down two numbers he could be thinking of

Answers

Answer:

16 and 25

Step-by-step explanation:

list perfect square numbers from 1 to 10

1, 4,9,16,25,36,49,64,81,100

looking at the list, 2 numbers he could be thinking of are 16 and 25

This question is worth 2 points! Allison makes and sells beaded necklaces. She charges a flat fee of $5 per necklace, and $1.50 per bead that she adds. If Jennifer, who wants to purchase a necklace, has $34 to spend, how many beads can she add to her necklace? Explain the process you used to solve, and tell what your answer is.

Answers

Answer:

19 beads

Step-by-step explanation:

If Jennifer has 34$ she automatically loses 5$ because that's the fee for the necklace. So, you subtract 34 from 5 and you get 29. After that you divide 29 by 1.50 and you get 19.333333. But, since you can't get 1/3 of a bead Jennifer can only buy 19 beads.


Rafael plans to watch 2 movies each month. Write an equation to represent the total number of movies n that he will watch in m months.

Answers

Answer:What is m?

Step-by-step explanation:

The equation p = 100 – 5t represents the percent p of battery power remaining in a tablet after t hours.

Answers

Answer:

t=-p/5+20

Step-by-step explanation:

p=100−5t

Swap sides so that all variable terms are on the left hand side.

100−5t=p

Subtract 100 from both sides.

−5t=p−100

Divide both sides by −5.

−5t/5 = p - 100/-5

Dividing by −5 undoes the multiplication by −5.

t = p - 100/-5

Divide p−100 by −5.

t=-p/5+20

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