Find the length of the hypotenuse , c, using the Pythagorean theorem (a^2+b^2=c^2) round the nearest tenth if necessary

Find The Length Of The Hypotenuse , C, Using The Pythagorean Theorem (a^2+b^2=c^2) Round The Nearest

Answers

Answer 1

Answer:

19.4 units

Step-by-step explanation:

The hypotenuse length (c) of the given right triangle, ∆ABC, can be calculated using the Pythagorean Theorem, [tex] a^2 + b^2 = c^2 [/tex],

Where,

c is the longest/hypotenuse, a and b are the length of the other two legs.

Therefore,

[tex] c^2 = (16)^2 + (11)^2 [/tex]

[tex] c^2 = 256 + 121 = 377 [/tex]

[tex] c = \sqrt{377} = 19.4 [/tex] (nearest tenth)


Related Questions

21 2/3 Divided by 3 1/4

Answers

Answer:

the answer is 20/3 or 6 2/3

Step-by-step explanation:

Jen classifies the number 4.567 as an irrational number because it does not repeat. Is Jen correct? Explain.

Answers

Answer: Jen is wrong about her classification.

Step-by-step explanation:

First of all, we know that the definition of an irrational number is that they are numbers that cannot be represented by a simple fraction and that they are never repeating decimals and they never end.

So, considering this, Jen is wrong because, yes it does not repeat but it DOES END unless it is not written in this problem that it continues on irrationally like pi. Hence, this number is not irrational.

The Jen classifies the number 4.567 as an irrational number is false.

It is required to find the number is rational and irrational numbers.

What is real number?

Real numbers are numbers that include both rational and irrational numbers. Rational numbers such as integers (-2, 0, 1), fractions(1/2, 2.5) and irrational numbers such as √3, π(22/7), etc., are all real numbers.

Given :

Jen's argument

We have

4.567 as an irrational number

The above claim is false because

4.567 =

4567/1000

When we divide the above number in the form of p/q  and q≠0 then then number is rational number.

Therefore, the Jen classifies the number 4.567 as an irrational number is false.

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0.4, 0.04, 0.44, 0.444, 0.404, 0.044 in order smallest first

Answers

I'm pretty sure it's  0.04, 0.044, 0.4, 0.404, 0.44, 0.444.

0.04, 0.044, 0.4, 0.404, 0.44, 0.444

f(x)=-4x+1 Find the average rate of change from 2 to 5.

Answers

Answer:

- 4

Step-by-step explanation:

The slope of the line is the average rate of change of f(x)

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

f(x) = - 4x + 1 ← is in slope- intercept form

with m = - 4 ← average rate of change

is 7.69669669 a rational number

Answers

Answer:

yes it is

Step-by-step explanation:

hope this helps✨

Which step in the problem-solving process includes the following statement? Identify the information the problem gives you. A. Understand B. Look back C. Solve D. Plan

Answers

Answer:plan

Step-by-step explanation:

Find the indicated side of the
triangle.

Answers

Answer:

8

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

Write 3,141,500 in scientific notation.​

Answers

Answer:

The answer is 3.14 * 10^-6

Answer:

3.1415 * 10^6

Step-by-step explanation:

Scientific notation is  of the form a* 10 ^b where a is between 1 and less than 10

3,141,500  

Move the decimal 6 places to the left

The exponent is the number of places you move the decimal

Since we move it to the left, it is positive

3.141500 * 10^6

Drop the trailing zeros

3.1415 * 10^6

38 animals are at the aquarium. 22 animals are manatees and the rest are sea lions.
How many of the animals are sea lions?
22 manatees
? sea lions
38 animals

Answers

Answer:

16

Step-by-step explanation:

38-22=16

16 sea lions

Answer:

38-22=16.

16 sea lions.

Can someone help? This is from Kahn Academy

Answers

Answer:

B. [tex] \frac{ {7}^{36} }{ {9}^{24} } [/tex]

Step-by-step explanation:

[tex] \bigg( {9}^{6} . {7}^{ - 9} \bigg ) ^{ - 4} \\ \\ = {9}^{6 \times ( - 4)} \times {7}^{ - 9 \times ( - 4)} \\ \\ = {9}^{ - 24} \times {7}^{36} \\ \\ = \frac{ {7}^{36} }{ {9}^{24} } \\ [/tex]

What is the average of 74 and 57?

Answers

Answer:

65.5

Step-by-step explanation:

(74 + 57)divided by 2 = 65.5

This question relates to concepts covered in Lectures 1 & 2. You can use any of the excel files posted to work through the question. Demand at a store can be modeled by a random variable which takes the following values across four different scenarios that occur with following probabilities. Scenario Low: D1 = 10 with probability P1=0. 1 Scenario Medium 1: D2 = 30 with probability P...2=0,4 Scenario Medium 2. D3 = 60 with probability p. 3-0.4 Scenario High: 04 = 90 with probability p_4=0.7 What is the mean of this demand distributional?

Answers

Answer:

mean of this demand distribution = 100

Step-by-step explanation:

To find the mean of this demand distribution;

Mean = Expected vale = E[x]

for discrete provability function,

we say E[x] = ∑(x.p(x))

x     p(x)     x.p(x)

10     0.1     1

30    0.4    12

60    0.4    24

90    0.7    63

∴ ∑(x.p(x)) = ( 1 + 12 + 24 + 63 )

∑(x.p(x)) = 100

Please help me ! So lost rn

Answers

Answer:

2.7 meters

Step-by-step explanation:

So, we know that 1 foot is about 0.305 meters.

To find how many meters are in 9 feet, multiply 0.305 by 9.

Therefore:

[tex]9(1\text{ foot})=9(0.305\text{ meters})[/tex]

Multiply:

[tex]9\text{ feet}=2.745\text{ meters}[/tex]

To the nearest, tenth this would be 2.7 meters.

And we're done!

Enter the correct answer in the box replacing the values of m and b

Answers

What’s the rest of the question

Answer: f(x) = -2X + 5

Step-by-step explanation:

195.21 is 24.10% of what number?

Answers

Turn the percentage into a decimal.

24.10 / 100 = 0.241

Divide.

195.21 / 0.241 = 810

Therefore, 195.21 is 24.10% of 810

Best of Luck!

Help will give brainliest

Answers

Answer:

[tex](-1)+(-3)=-4[/tex]

Step-by-step explanation:

We were originally on -1.

But we jumped to -4.

-4 is 3 spaces to the left of -1.

In other words, we subtract 3 into -1.

Another way of saying this is that we added -3 to -1.

Therefore, our equation is:

[tex](-1)+(-3)=-4[/tex]

7. If a school has 70 computers in the ratio of 3 desktops for every 4 laptops, how many
are desktops? Explain your answer.

Answers

Step-by-step explanation:

As ratio of desktops to laptops=3:4

Take no. of desktops= 3x

Take no. of Laptops=4x

Total no. of desktops+ Total no. of laptops = Total no. of computers

3x+4x=70

7x=70

x=10

Hence, the total no, of desktops= 3x

Hence, Total no. of desktops= 3×10

=30 desktops

Can you please help me with this I’ll give you a Brainly list please it’s hard

Answers

The correct answer is 6+6-17

Answer:

Your answer will be 6+6-17 hope this helps :)

Step-by-step explanation:

Which of the following is most likely the next step in the series?
o

Answers

Answer:

C

Step-by-step explanation:

the first shape has 6 edges, the second shape has 5 edges, the third shape has 4 edges, therefore the fourth shape has 3 edges (c)

C.
It’s C because the sides go down.

You know that there is a strong correlation between the consumption of ice cream and body weight. The Pearson's r = 0.78. You also know that the average consumption of ice cream per week is five grams with a standard deviation of 1.5 grams. The average weight is 65 kg with a standard deviation of 15 kg. What is the formula of the regression line?

Answers

Answer:

y = 7.8x + 26

Step-by-step explanation:

Given the following :

Pearson's r = 0.78

Average consumption of ice cream = 5 grams per week (m) with Standard deviation (sd) = 1.5 grams

Average weight = 65 kg with standard deviation of 15kg

Formular for the regression line :

General regression formula :

y = mx + c

y = predicted variable ; m = slope or gradient ; x = predictor variable ; c = intercept

Gradient (m) = change in y / change in x

m = (sd y / sd x) * r

m = (sd weight / sd ice cream) × r

m = (15 / 1.5) × r

m = 10 × 0.78 = 7.8

Intercept:

mean of weight(y) - [Slope×mean of icecream(x)]

65 - [7.8 × 5]

65 - 39 = 26

Hence,

y = 7.8x + 26

Round 630,379,982 to the nearest hundred thousand

Answers

Answer:

630,400,000

Step-by-step explanation:

630,379,982

The 3 above that is bold, between the 0 and the 7, is in the hundred thousands place.

To round to a place, change all digits to the right of that place to zero. If the digit immediately to the right is 0 through 4, you're done. If the digit immediately to the right is from 5 to 9, then you raise the digit you are rounding to by 1.

Step 1. Make all digits to the right of the hundred thousands digit 0.

630,300,000

Step 2. Since the digit immediately to the right of the hundred thousands digit was a 7, which is from 5 to 9, the digit we are rounding to goes up by 1. The 3 becomes 4.

630,400,000

Answer: 630,400,000

The answer would be 6,400,000

Hector works in a gas station and earns $15.50 per hour. Last week he worked 29 hours. What was his gross pay?

Answers

Answer:

449.50

Step-by-step explanation:

because gross pay is before taxes and everything else and he worked 29 hours so 15.50 × 29 = $449.50

The amount of money that Hector works in a gas station will be $449.50.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Hector works in a service station and procures $15.50 each hour. Last week he worked 29 hours.

The total cost that Hector can earn will be given as,

⇒ $15.50 x 29

⇒ $449.5

The gross pay that Hector works in a corner store will be $449.50.

More about the Algebra link is given below.

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Which number rounds to 4.3 when rounded to the nearest tenth?

Answers

Answer:

it is the same 4.3

Step-by-step explanation:

this numbers didn't add one number when you round(0,1,2.3.4)

this numbers(5,6,7,8,9), you add one number when you add

4.3 (the three is the tenth)and no number after it so its stell the same

The rounding number of 4.3 when rounded to the nearest tenth is 4.3

Here,

The number is 4.3

We have to find the rounding number of 4.3 nearest tenth.

What is Rounding number?

A method of approximating a number to its nearest place value is called Rounding of Numbers.

Now,

The number is 4.3

To round the decimal number to its nearest tenth, look at the hundredth place.

But here is no any number on hundredth number, hence no change occur for rounding 4.3 to the nearest tenth.

So, The rounding number of 4.3 when rounded to the nearest tenth is same as the number 4.3

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give an example of a set of five different numbers whose mean is 290

Answers

Answer:

200,300,290,320,340

Step-by-step explanation:

If the mean of five numbers = 290

Then the total sum of the five numbers should be= 290*5

= 1450

an example of a set of five different numbers whose mean is 290

= 200,300,290,320,340

Summation of the above

=( 200+300+290+320+340)

= 1450

So the above set of numbers is a good example of a set of five different numbers whose mean is 290

Dan is 5 years older than David. Bridget is 8 years younger than David. If the total of their ages is 57, how old is the eldest of them

Answers

Answer:

The oldest person is 25 years old

Step-by-step explanation:

Represent David's age by d.

Then Dan's age is d + 5, and Bridget's is d - 8.

The sum of these three ages is 57:

d + (d + 5) + (d - 8) = 57

This simplifies to

3d - 3 = 57, or 3d = 60.  Then d must be 20.

David is 20, Dan is 25 (5 years older than David), and Bridget is 12 (8 years younger than David).

Check:  Do these three ages add up to 57?

20 + 25 + 12 = 57   YES\

The oldest person is 25 years old.  That's Dan's age.

G(x)= -x^2 + 9 find: g(-4)

Answers

Answer:

G(-4) = -7

Step-by-step explanation:

G(x)= -x^2 + 9

x= -4

G(-4)= - (-4)^2 + 9

       = -16 +9

       = -7

Solve the following inequality. Write the answer in interval notation. 3×+13≤8×+2

Answers

Answer:

[ 11/ 5 , ∞ )

Step-by-step explanation:

Which one of the following correctly states the VaR for a 3-year period with a 2.5 percent probability?
a) Prob[Rp, I E(Rp) x 3 - 1.960 x Op V3]
b) Prob[Rp, I S E(Rp) x 13 - 1.645 x Op 3]
c) Prob[Rp, T = E(Rp) x V3 - 1.960 x Op 3]

Answers

Answer: Option A

Prob[Rp,T ≤ E(Rp) × 3 - 1.960 × σp √3]

Step-by-step explanation:

It should be noted that, the VaR for a 3-year period with a 2.5 percent probability is Prob[Rp,T ≤ E(Rp) × 3 - 1.960 × σp √3]. Therefore, option A only is correct while other options are wrong

Answer:

A: Prob[Rp, I E(Rp) x 3 - 1.960 x Op V3]

Step-by-step explanation:

A bag contains 30 pieces of candy. There are 15 grape, 7 cherry, 3 lemon, 5 strawberry. What is the probability of drawing a strawberry? (Please simplify your answer) 3 3 5 5 1/6 1/6 1/5

Answers

Answer:

[tex]Probability = \frac{1}{6}[/tex]

Step-by-step explanation:

Given

Grape = 15

Cherry = 7

Lemon = 3

Strawberry = 5

Total = 30

Required

Determine the probability of picking a strawberry

The probability of drawing a strawberry is calculated by dividing the number of strawberry by the total number of fruits as follows;

[tex]Probability = \frac{Strawberry}{Total}[/tex]

Substitute 5 for Strawberry and 30 for Total

[tex]Probability = \frac{5}{30}[/tex]

Divide the numerator and denominator by 5

[tex]Probability = \frac{1}{6}[/tex]

Hence, the required probability is [tex]\frac{1}{6}[/tex]

A ball player is at bat 55 times as hits the ball 33 times. Want ratio of his times at bat does he not hit the ball?

Answers

Answer:55:33

Step-by-step explanation:

55:33

5:2

He hits it 33 times so his bat does not hit the ball 22 times. 55:22 > 5:2
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