What is the length of the hypotenuse? 1. 52 + 122 =c2 2. 25 + 144 =c2 3. 169=c2 c=

Answers

Answer 1

Answer:

Step-by-step explanation:

In order to solve this question we need to know that [tex]a^{2} + b^{2} = c^{2}[/tex] (were a and b are the legs of a right angle triangle and c is the hypotenuse). Now since we are given [tex]a^{2}[/tex] and [tex]b^{2}[/tex],we can solve for hypotenuse in each case. So we do......

1) 52 + 122 = [tex]c^{2}[/tex]

  174 = [tex]c^{2}[/tex]

  [tex]\sqrt{174} =c[/tex]

  13.190905 ≈ c

2) 25 + 144 = [tex]c^{2}[/tex]

   169 = [tex]c^{2}[/tex]

   [tex]\sqrt{169} = c[/tex]

   [tex]13 = c[/tex]

3) 169 = [tex]c^{2}[/tex]

   [tex]\sqrt{169} = c[/tex]

   [tex]13 = c[/tex]

Hope this helps :)

Answer 2

The length of the hypotenuse 13 units.

What is a hypotenuse?

A hypotenuse is the longest side of a right-angled triangle, the side opposite the right angle.

Given that, A right triangle has side lengths 5 inches and 12 inches.

Using Pythagoras theorem,

h = √5²+12²

h = √25+144

h = √169

h = 13

Hence, the length of the hypotenuse 13 units.

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Related Questions

PLEASE HELP!!! FOR 60 POINTS!! New York City has two airports (JFK and LGA). If you’re flying with United Airlines (UA) and your primary concern is to arrive on time, is it better to fly to JFK or to LGA?

Answers

Answer:

If you're heading into New York City, LaGuardia is the closest. It's just 8.6 miles from LaGuardia to Midtown Manhattan, compared to 14.7 miles from JFK and 16.6 miles from Newark.

Step-by-step explanation:

To assess if flying with United Airlines to LGA is better in terms of arriving on time, we would have to examine the on-time performance data for United Airlines flights at both airports.

What are United Airlines flights?

United Airlines is a significant American airline that flies domestically as well as internationally. The airline provides a wide range of services, such as passenger transportation, cargo delivery, and vacation packages.

The US Department of Transportation tracks and distributes on-time performance information for airlines and airports on its website. We can assess whether airport has a higher on-time performance record for this carrier by examining statistics for United Airlines trips to LGA.

LGA are both important airports that serve the greater New York City area, and both can face delays and congestion. Arrive at the airport well in advance of the scheduled departure time and check with your airline for any changes.

Therefore, to assess if flying with United Airlines to LGA is better in terms of arriving on time, we would have to examine the on-time performance data for United Airlines flights at both airports.

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A vendor at the Saturday Market makes $9 profit on each necklace she sells and $5 profit on each bracelet.

Find a combination of necklaces and bracelets that she could sell and make:

Exactly $100 profit.

Answers

Answer:

10 necklaces and 2 bracelets

Step-by-step explanation:

Each necklace sells for 10 dollars, at 9 dollrs each, that makes 90 dollars

That, combined with the 10 dollars the two bracelets would make her, would give the vendor 100 dollars in profit

A number is selected from the set (1, 2, 3, 5, 15, 21, 29, 38,500). If equal elemental probabilities are assigned, what is
the probability that the number chosen is either less than 29 or odd?

Answers

Answer:

7/9 is the answer

Step-by-step explanation:

Question 3 of 10
Use the quadratic formula to find both solutions to the quadratic equation
given below.
2x²+x-1=0

Answers

Answer:

x=1/2 or x=−1

Step-by-step explanation:

The solution to the quadratic equation is x = -1 or 1/2

What is Quadratic Equation?

A quadratic equation is a second-order polynomial equation in a single variable x , ax² + bx + c=0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.

The roots of the quadratic equations are

x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )

where ( b² - 4ac ) is the discriminant

when ( b² - 4ac ) is positive, we get two real solutions

when discriminant is zero we get just one real solution (both answers are the same)

when discriminant is negative we get a pair of complex solutions

Given data ,

Let the quadratic equation be represented as A

Now , the value of A is

2x² + x - 1 = 0   be equation (1)

And , roots of the quadratic equations are

x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )

On simplifying , we get

x = [ -1 ± √ ( 1 )² - ( 4 ) ( 2 ) ( -1 ) ] / 4

x =  [ -1 ± √ ( 1 + 8 ) ] / 4

x = [ -1 ± 3 ] / 4

So , the two values of x are

x = ( -1 - 3 ) / 4

x = -1

And , x = ( -1 + 3 ) / 4

x = 1/2

Therefore , the values of x are -1 or 1/2 respectively

Hence , the roots of the quadratic equation are -1 or 1/2 respectively

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Mr Mason asks 240 year 11 students what they want to do next year. 15% of the students want to go to college. ¾ of the students want to stay at school. The rest of the students do not know. Work out the number of students who do not know.

Answers

Answer:

Number of students who do not know = 24

Step-by-step explanation:

Year II students = 240

15% of the students want to go to college.

Number of year II students who wants to go to college = 15% of 240

= 15/100 × 240

= 0.15 × 240

= 36

¾ of the students want to stay at school.

Number of students who wants to stay at the school = 3/4 × 240

= (3 × 240) / 4

= 720 / 4

= 180

Number of students who do not know = Total year II students - Number of year II students who wants to go to college - Number of students who wants to stay at the school

= 240 - 36 - 180

= 24

Number of students who do not know = 24

You have 33 math and science problems for homework. You have 7 more math problems than science problems. How many problems do you have in each subject?

For this question type the two equations that you are using and your solution to the system.

Answers

Answer:

x=33/7         m=7+x

Step-by-step explanation:

33 divided by 7 is 5 (when rounded) then you add 5 to 7 and get 12. Hope this helped yu!! Give brainliest.

Answer:

x=33/7         m=7+x

Step-by-step explanation:

so if you divide 33 by 7 you get 4.71428571429 which would be 5 when rounded and then you add 5 to 7 to get 12 I HOPE THIS HELLPEEDD

1/2x+y = 3
y = 3x + 10
Solve using substitution

Answers

Answer:

(-2,4)

x = -2 y = 4

I hope this helps

At the last pep rally 3 out of every 7 students wore school colors. Based on this information, if 350 students attend the next pep rally, how many of these students will wear school colors

(1st answer will get marked brainliest.. please don’t answer if you don’t know what the answer is.. thank you :))

Answers

Answer:

150

Step-by-step explanation:

Please let me know if you still need help!

Answer:

150 students would be wearing school colors

Step-by-step explanation:

Pretty sure because you divide 350 by 7 (which gives 50), then multiply 50 by 3 to get 150, which would be 3/7 of the student population

A soap factory packs 7 bars of soap into each family pack. How many family packs can be made with 4,900 bars of soap?

Answers

Answer:

700 family packs

Step-by-step explanation:

In each family pack, there are 7 bars of soap. To find the number of family packs that can be made with 4900 bars of soap, we need to divide 4900 into groups of 7.

4900÷7

=700

Therefore, 700 family packs can be made with 4900 bars of soap.

I hope this helps!

holly has $10.00. she saw a purse in a catalog that was marked $14.95 plus 5 sales tax

Answers

Answer:Molly won't be able to pay for the purse because $14.95 plus 5 is $19.95 and Molly only has $10.00 so she won't be able to buy the purse.

Step-by-step explanation:

Answer: A. $5.70

Step-by-step explanation:

( Which of the following best describes an ecosystem in a neighborhood garden?

Answers

What are the answers for the nonshelaunt question

Samuel scored a 32.5/40 on his most recent math test what percent did he earn in the test round to the nearest whole percent

Answers

Answer: 81%

Step-by-step explanation:

From the question, we are informed that Samuel scored a 32.5/40 on his most recent math test.

Based on the values given, to convert it to percentage, we have to multiply the score by 100. This will be:

= 32.5/40 × 100

= 3250/40

= 81.25%

= 81% to nearest whole number

I NEEP HELP ASAP PLEASE AND THANK YOU

Answers

Answer:

The first answer, 3 times the square root of x squared is correct.

Can someone please help me please this is turned in like in a couple of minutes !!!!!!!!!!!!!!!

Answers

Answer:

1) 3 teaspoons

2) 16 tablespoons

3) 4 tablespoons

4) 16 oz

5) 4/6 or 2/3

6)2 cups

7) 4 cups

8) 4 quarts; 16 cups

9) 8 fl oz

10) 1

Step-by-step explanation:

4. What is the value of -24 + 6?

Answers

Answer:-18

Step-by-step explanation:

Answer:

-18

Step-by-step explanation:

Please give brainliest!

how do you put the number 250 in
Standard form

Answers

Answer:

I believe it would be 2.5x10^3

or two-hundred and fifty

Step-by-step explanation:

hope it helps and please correct me if I'm wrong

Answer:

In standard form: 250 = 2.5 x 10^2

or two hundred and fifty

Step-by-step explanation:

At least I think so sorry if this is incorrect.

i don't understand this equation -6n+21=12n-15

Answers

Answer:

n=2 dont add your -6n and 21 together only variables can go with variables and you learn this in 6th-7th grade anyway.

Write a function rule for the area of a rectangle with a length 2 ft less than three times it’s width. What is the area of the rectangle when it’s width is 2 ft?

Answers

9514 1404 393

Answer:

  A(w) = w(3w-2)

  A(2) = 8 . . . . square feet

Step-by-step explanation:

For width w, the length will be 3w-2, two feet less than 3 times the width. The area is the product of length and width, so is ...

  A = WL

  A(w) = w(3w-2)

__

To find the area for a width of 2, we put 2 where w is, then evaluate.

  A(2) = 2(3·2 -2) = 8 . . . . square feet

A number is equal to 3 times a smaller number. Also, the sun of the smaller number and 4 is the larger number. The
situation is graphed on the coordinate plane below, where x represents the smaller number and y represents the larger
nunber

Answers

Answer:

y=3x and y=x+4

that is the third option

Step-by-step explanation:

let the larger number be y and the smaller one be x

From the mathematical statements,

y=3x

Also

y=x+4

A=2.5
B=10
C=5
D=5 square root of 3

Answers

Answer:

B.

Step-by-step explanation:

what is central and inscribed angle​

Answers

Answer:

An inscribed angle is an angle formed by two chords in a circle which have a common endpoint. This common endpoint forms the vertex of the inscribed angle. The other two endpoints define what we call an intercepted arc on the circle. The intercepted arc might be thought of as the part of the circle which is "inside" the inscribed angle.

Which of the following is an example of a quadratic equation?

Answers

its b

Step-by-step explanation:

The length of the deck is 3 times it’s width. If the decks perimeter is 16 ft what is the decks area

Answers

Answer:

12 ft²

Step-by-step explanation:

Givenl = 3wP = 16A = ?Solution

Use perimeter formula

P= 2(l + w) = 2(w + 3w) = 8w

Find width:

8w = 16 ⇒ w = 2 ft

Find length:

l = 3*2= 6 ft

Find area:

A = lw = 6*2 = 12 ft²

5. Solve for x.
6. Solve for
(9x - 16)
I
(3.1 + 11)
(7x - 5)
ments
X =
7 Find m

Answers

Answer:

12*56-56+11=12

Step-by-step explanation:

12 for 56

13. A quadratic function passes through the points (0,5), (2,3), and (3,5). Which
function represents the same relationship?

A h(I) = x2 + 3x + 5

B h(x) = x2 – 3x + 5


C h(c) = -3x2++5

D h(c) = x2
= 2 + 5x - 3

Answers

Answer:

B

Step-by-step explanation:

HELP PLZ! (Will give Brainliest)

You aren't so sure that Kristoff is correct, so you want to see another representation of the data. You draw box-and-whisker plots for each of their six jumps. Based on this representation, who do you recommend gets sent to the track meet and WHY?

Answers

I would recommend that Anna gets sent to the track meet because although her average is lower than olafs, she has much more experience because as you can see in the box and whisker plot, she has done a lot more running

Find the perimeter of triangle ABC. Approximate to the nearest whole unit.​

Answers

Answer: 16 units

Step-by-step explanation: adding the perimeter sides to get the perimeter of triangle ABC would be 4.1+6.1+5.8 = 16

Answer:

16

Step-by-step explanation:

AC = 6.1

CB = 5.8

BA = 4.1

Use whole number approximations for the three side lengths.

AC = 6

CB = 6

BA = 4

perimeter = AC + CB + BA = 6 + 6 + 4 = 16

Answer: 16

Solve using the quadratic formula x^2-12x+5=0

Answers

Answer:

x=6+[tex]\sqrt{x}[/tex]31

Pueden responder rápido por favor? tengo hasta las 10 :v
Para preparar una ración se utilizan tres cereales: A, B y C. La ración I tiene 20 Kg del cereal A, 50
Kg del cereal B y 100 Kg del cereal C. La ración II tiene 35 Kg del cereal A, 60 Kg del cereal B y 80
Kg del cereal C. La ración III tiene 45 Kg del cereal A, 45 Kg del cereal B y 50 Kg del cereal C. Se
tiene 36000 Kg del cereal A, 40000 Kg del cereal B y 48000 Kg del cereal C. ¿Cuántas unidades
de cada ración se pueden preparar si se utiliza todo el cereal disponible?

Answers

Answer:

what are u saying I asked my Spanish teacher and she said...

Step-by-step explanation:

its D idn why hm any way have a great day if u can understand what I'm saying :D

If f(x)=7x+2 and x=1 what is the output value? Plzzz help ASAP

Answers

It is 7*1+2=9
The output is 9
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