Find the length of the third side. If necessary, round to the nearest tenth.
12
5

Find The Length Of The Third Side. If Necessary, Round To The Nearest Tenth.125

Answers

Answer 1

9514 1404 393

Answer:

  13

Step-by-step explanation:

The hypotenuse can be found using the Pythagorean theorem. If we call that side 'c', then the theorem tells us ...

  c² = 5² + 12²

  c² = 25 +144 = 169

  c = √169 = 13

The length of the third side is 13 units.

_____

Additional comment

The numbers (5, 12, 13) are what is called a "Pythagorean triple." That is, they are integers that can be used to form a right triangle. Others often seen in algebra problems are the (3, 4, 5), (7, 24, 25), and (8, 15, 17) triples. It can be worth your trouble to remember these. Then when you see side lengths of 5 and 12, you don't need to do any math to know the third side is 13.


Related Questions

PLEASE HELP ME I WILL HIVE BRAINLIST TO THE CORRECT ANSWER !!!!!!!!!!!​

Answers

Answer:

I'm not 100 percent sure but I think it's the first answer choice because at 40000 3 years have passed. Hope this helps :)

Answer:

The machinery ages three years for every $10,000 loss in value.

Step-by-step explanation:

We can see from the graph that each year, the machinery loses a value of $5,000 (Goes from $50,000 to $45,000 after year one, from $45,000 to $40,000 after year two etc). So we can discount the last two answers.

If it loses $5,000 each year, it loses $15,00 after ageing three years, and $25,00 after five years. Though neither of the first two answers correspond to this, the first answer is closest.

In selecting a sulfur concrete for roadway construction in regions that experience heavy frost, it is important that the chosen concrete has a low value of ther- mal conductivity in order to minimize subsequent damage due to changing temperatures. Suppose two types of concrete, a graded aggregate and a no-fines aggregate, are being considered for a certain road. The table below summarizes data on thermal conductivity from an experiment carried out to compare the two types of concrete.

Ğ¢ÑÑеп ni xi si
Graded 42 0.486 0.187
No-fines Ñ 42 0.359 0.158

Assume that the conductivity for each sample of concrete is independent of that of all the others. Our interest is in determining if the mean conductivity for the graded concrete is significantly different than the mean conductivity for the no-fines concrete?

Required:
a. Formulate the above in terms of a hypothesis testing problem.
b. Give the test statistic and its reference distribution (under the null hypothesis).
c. Report the p-value of the test statistic and use it to assess the evidence that this sample provides on the scientific question of difference in mean conductivity of the two materials at the 5% level of significance.

Answers

Step-by-step explanation:

Given - In selecting a sulfur concrete for roadway construction in regions that experience heavy frost, it is important that the chosen concrete has a low value of thermal conductivity in order to minimize subsequent damage due to changing temperatures. Suppose two types of concrete, a graded aggregate and a no-fines aggregate, are being considered for a certain road. The table below summarizes data on thermal conductivity from an experiment carried out to compare the two types of concrete.

Type            ni                xi                  si

Graded       42           0.486            0.187

No-fines      42           0.359           0.158

To find - a. Formulate the above in terms of a hypothesis testing problem.

b. Give the test statistic and its reference distribution (under the null hypothesis).

c. Report the p-value of the test statistic and use it to assess the evidence that this sample provides on the scientific question of difference in mean conductivity of the two materials at the 5% level of significance.

Proof -

a.)

Hypothesis testing problem :

H0 : There is significant difference between mean conductivity for the graded concrete and mean conductivity for the no fines concrete.

H1 : There is no significant difference between mean conductivity for the graded concrete and mean conductivity for the no fines concrete.

b)

Test statistic :

[tex]Z = \frac{x_{1} - x_{2} }{\sqrt{\frac{s_{1} ^{2} }{n_{1}} + \frac{s_{2}^{2} }{n_{2}} } }[/tex]

[tex]Z = \frac{0.486 - 0.359 }{\sqrt{\frac{0.03496 }{42} + \frac{0.02496 }{42} } }[/tex]

[tex]Z = \frac{0.127 }{\sqrt{0.001468}}[/tex]

[tex]Z = \frac{0.127 }{0.0377}[/tex]

⇒Z(cal) = 3.3687

Z(tab) = 1.96

As Z (cal) > Z(tab)

So, we reject H0 at 5% Level of significance

p-value = 0.99962

Hence

There is significant difference in mean conductivity at the two materials.

Write the equation of the line (in point-slope form) that passes through the point (3, -4) and has a slope of 6.

Answers

Answer:

y+4=6(x-3)

Step-by-step explanation:

y-y1=m(x-x1)

y-(-4)=6(x-3)

y+4=6(x-3)

What is the answer please I need help if you send a link I will report because your just trying to scam someone

Answers

Answer:

The median is 6.

Step-by-step explanation:

Complete the sentence: An unbiased estimator is _____. a. any sample statistic used to approximate a population parameter b. a sample statistic, which has an expected value equal to the value of the population parameter c. a sample statistic whose value is usually less than the value of the population parameter d. any estimator whose standard error is relatively small

Answers

Answer:

a) Any sample statistic used to approximate a population parameter.

Step-by-step explanation:

An unbiased estimator is any sample statistic used to approximate a population parameter.

In mathematics, the bias of an estimator refers to the difference between the true value of the parameter being estimated and the estimator’s expected value.

If a statistic is not an underestimate or overestimate of the population parameter, then it is unbiased.

That is why an unbiased estimator is an accurate sample statistic used to approximate a population parameter.

the answer to 2x+56=

Answers

Answer:

It can't be simplified or added together because one is multiplied by x and the other is not

Step-by-step explanation:


The manager of a restaurant recorded how many people were in different groups of
customers and how much those groups spent on food and beverages. The scatterplot below
shows the data she recorded.

Answers

Answer:

$135

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

hows it goin my boi

Calculate the area of the shape below.

Answers

Answer:

24 ft²

Step-by-step explanation:

1/2x12x4=24 ft²

How many people out of 100,000 will survive until age 90?

Answers

Answer:

81.26

Step-by-step explanation:

This amount of people survived until 90 according to an article:

20,898 + 15,034 + 26,183 + 21,196 + 15,318 + 26,479 + 15,864 + 9,952 + 21,357 = 172,281

"172,281" as a percentage is:

81.26

The percentage people out of 100,000 will survive until age 90 would be 81.26.

How to calculate unit price of something?

Unit means 'single entity', the fundamental constructing block. Usually, it is 1 in mathematics and science.

Thus, unit price of something is price of 1 thing.

So, suppose we're taking about price of mangoes, then unit price will denote the price of 1 mango.

The data is given in the image attached below;

We need to find How many people out of 100,000 will survive until age 90.

A percentage is a minimum number or ratio that is measured by a fraction of 100.

The amount of people survived until 90 according to an article:

20,898 + 15,034 + 26,183 + 21,196 + 15,318 + 26,479 + 15,864 + 9,952 + 21,357

= 172,281

Therefore, "172,281" as a percentage is 81.26.

The percentage people out of 100,000 will survive until age 90 would be 81.26.

Learn more about unit price here:

https://brainly.com/question/945712

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At the pet fair, Darlene’s dog
weighed 5 times as many pounds
as Leah’s dog. Together, the dogs
weighed 60 pounds.
How many pounds does Leah’s
dog weigh?

Answers

Answer:

Darlene's dog weighs 10 pounds.

Step-by-step explanation: 5 x 10 = 50 and 50 + 10 = 60 pounds.

Hope this helps.

Let the graph of g be a reflection in the y-axis, followed by a translation 5 units down of the graph of f(x)=3x√4. Write a rule for g.

Answers

Answer: sorry don't know but uhh its 5

Step-by-step explanation:

Zane is putting the strings on 5 harps. Each harp has 48 strings.
How many strings does Zane need for all 5 harps?

Answers

Answer:

Zane needs 240 strings for 5 harps.

Step-by-step explanation:

All you have to do is multiply

48 * 5 = 240

So, the answer is 240

Hope this helps! :)

A roadside assistance company gets millions of requests per year, with about a quarter of the requests in
summer and a quarter in winter. Suppose that 12% of all of the summer requests and 15% of the winter
requests are for help with a lockout. A data analyst pulls separate random samples of 200 summer and winter
requests and will look at the difference (summer winter) between the proportion of requests for help with
a lockout in each sample.
What are the mean and standard deviation of the sampling distribution of the difference in sample
proportions?

Answers

Answer: -0.03

sqrt ((0.12 (0.88) / 200) + (0.15)(0.85)/200)

Step-by-step explanation:

The mean of the sampling distribution of the difference in sample proportions is -0.03, and the standard deviation is 0.0321.

What is the standard deviation?

A standard deviation (σ) is a measure of the distribution of the data in reference to the mean.

The proportion of lockout help requests in the summer population is 12% or 0.12, and the proportion in the winter population is 15% or 0.15. The sample sizes are both 200.

Using these values, we can calculate the mean and standard deviation of the sampling distribution of the difference in sample proportions:

Mean = p₁ - p₂ = 0.12 - 0.15 = -0.03

Standard deviation = √[ (p₁ (1 - p₁) / n₁) + (p₂ (1 - p₂) / n₂) ]

= √[ (0.12 (1 - 0.12) / 200) + (0.15 (1 - 0.15) / 200) ]

= √[ (0.000504) + (0.000525) ]

= √[ 0.001029 ]

= 0.0321

Therefore, the mean of the sampling distribution of the difference in sample proportions is -0.03, and the standard deviation is 0.0321.

Learn more about the standard deviation here:

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Pearl deposited $60 into her savings account. According to the rule of 72, what interest rate will cause her money to double in approximately 33 years?

Answers

Answer:2.2%

Step-by-step explanation:

which angles are vertical to each other​

Answers

Answer:

You need to attach the picture of the angles

Answer:

right

Step-by-step explanation: because ones left and 1 right

pls answer fast this is my last assignments is giving 30 points and make the brainiest

Answers

Answer:

obama your mama she looks like joe mama

Jaime is employed by Johnson & Johnson making $30 an hour. She had $400 in sales, which
she receives an 8% commission. If she worked 20 hours last week, what was her weekly
pay?

Answers

Answer:

$632

Step-by-step explanation:

Set up an equation:

$30(20 hours) + ($400 × 0.08)

$600 + $32

$632

can anyone help me with this please! Serious plz lol

Answers

I hope this helps you

Please help me.
how many observations are in this data set?

Answers

Answer:

16

Step-by-step explanation:

count the dots. each is one observation

Yep it is 16 the answer

Which of the following is a true statement?
o & >
o = }
Os <

Answers

Answer:

the last one Denise,   is the only one that is true

Step-by-step explanation:

Answer:

last one

Step-by-step explanation:

o The day before the exam, Rebecca does a practice run. She attempts 20 glass vases and breaks 3 of them. What is her success rate, shown as a decimal?​

Answers

Answer:

If the goal is to break the vases: 3/20 = 15.0% or 0.15

If the goal is to not break the vases: 17/20 = 85.0% or 0.85

Solve.
b + 2/9 = 1 3/5

Answers

Exact form
B=107/45
Decimal form
B=2.36
Mixed number form
B=2:17/45

Juan deposited $450 in an account that earned 7.5% simple interest.

- He did not make additional deposits and he didn't withdraw any money from the account.

What was the balance in Juan's investment account after 3 years?

Answers

Um 1782829.00 and 43 is the answer if actually isn’t because I just need the points your in collage good job

Explanation:

1.2694*u+e+ieiei=3938383

Answer:

$551.25

Step-by-step explanation:

$450 x 7.5% = 33.75

33.75 x 3 = 101.25

101.25 + 450 = 551.25

Which graphs of ordered pairs represent functions?

Answers

Answer:

I thin its b.

Step-by-step explanation:

answer of the question

Answers

Answer:

The number of milk chocolate pieces is between 115 and 120 pieces.

Step-by-step explanation:

Someone help me please!!!Divide 100 in the ratio 2:3.​

Answers

Answer:

pirwvjihpwrugh

Step-by-step explanation:

wrhfuwhfuhugfrifhi

Answer:

not possible

Step-by-step explanation:

It can't be possible because the ratio would be 50:1 is possible

solve the equation f/3+22=17

Answers

1) f/3 + 22 = 17

2) f/3 + 22 - 22 = 17 - 22

= f/3 = -5

3) 3 • f/3 = 3(-5)

= f = 3(-5)

= f = -15

Your answer would be f = -15

:)

Answer:

f = -15

Step-by-step explanation:

f/3 + 22 - 22 = 17 - 22

f/3 + 0 = -5

f/3 = -5

f = 3 × (-5)

f = -15

Thus, The answer is -15

-TheUnknownScientist

VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.

Answers

Answer: (4,-11)

Step-by-step explanation: To perform a 180 degree rotation we switch the signs of the coordinates

Answer:

4,-11

Step-by-step explanation:

The answer is 4,-11 because if you think that you go over -4 and go up 11. Now switch the negative sign to the y coordinate because it is a 180 degree turn then you have your answer. 4,-11

pls mark as brainliest!!


What is the area of the parallelogram
shown above?
[?] square feet

Answers

Answer:

299 square feet

Step-by-step explanation:

Area of a parallelogram = base × height

Base = 23 ft

Height = 13 ft

Note: the other length, 15 ft is not needed in calculating area of the parallelogram. All we need is just the length of the base and the height.

Area of the parallelogram shown = 23 × 13

Area = 299 ft²

Which is a better deal on a $345 item: 40% off original price or 30% off and additional 15% at the register?​

Answers

Answer:

345 - 40% = 207$

Step-by-step explanation:

(345 - 30%) - 15% = 205.3 (Better deal)

Answer:

30% off and additional 15% at the register

Step-by-step explanation:

Deal 1

$345 × 40% = $138

$345 - $138 = $207

Deal 2

$205.30

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