If the hypotenuse is 20 and one of the legs is 12, what is the length of the missing leg?

Answers

Answer 1

Answer:

12 cm

Explanation:

From

Pythagoras Theorem

h

2

=

a

2

+

b

2

where

h =

Length of hypotenuse side

a =

Length of one leg

b =

Length of another leg

(

20 cm

)

2

=

(

16 cm

)

2

+

b

2

b

2

=

(

20 cm

)

2

(

16 cm

)

2

b

=

(

20 cm

)

2

(

16 cm

)

2

b

=

400 cm

2

256 cm

2

b

=

144 cm

2

b = 12 cmStep-by-step explanation:

Answer 2

Answer:

16 units

Step-by-step explanation:

For a right triangle, a²+b²=c², where a and b are leg lengths, and c is the hypotenuse. Given one leg length and the hypotenuse, we can find the other leg length by plugging in our given information:

a²+b²=c²

12²+b²=20²

144+b²=400

b²=256

b=16

Therefore, the missing leg length is 16 units.


Related Questions

Which equation represents the word sentence shown below?

The quotient of a number band 0.3 equals negative 10.

Answers

Answer:

where are the equations?

Step-by-step explanation:

tell me and I will edit my answer to answer ur question

Answer:

Step-by-step explanation:

What is the surface area of a cereal box with a height of 10 inches, a width of 4 ½ inches, and a length of 7 inches?

Answers

Answer:

Surface area of a box = 293 inches ²

Step-by-step explanation:

Surface area of a box = 2(lw + lh + hw)

Where,

l = length = 7 inches

w =width = 4 1/2 inches

h = height = 10 inches

Surface area of a box = 2(lw + lh + hw)

= 2(7*4.5 + 7*10 + 10*4.5)

= 2(31.5 + 70 + 45)

= 2(146.5)

= 293 inches ²

Surface area of a box = 293 inches ²

if m1=35° and m2=75°, what is m3?​

Answers

Answer:

m3 should be 70°

all internal angles of a triangle add up to 180

180-35-75 = 70

Answer:

All angles of a triangle add up to 180°.

there m1+m2+m3=180°

35+75+m3=180

110°+m3=180°

m3=180°-110°

m3=70°

Answer is A.

does anyone know this?

Answers

Answer:

Hello! answer: a = 24

Step-by-step explanation:

30 × 30 = 900 18 × 18 = 324 900 - 324 = 576 24 × 24 = 576 therefore a = 24 Hope that helps!


PLZ IN NEED OF HELP!!

Answers

36262527273383762828 there

NO LINKS

What is the surface area of a cylinder with a height of 20 meters and a diameter of 10 meters? O A) 1884 m2 OB) 863 m2 OC) 353.25 m2 OD) 785 m2​

Answers

Answer:

785

Step-by-step explanation:

did the math in a calculator I got yoy

Answer:

D. 785

Step-by-step explanation:

the formula to find the surface area of a cylinder is A=2πrh+2πr^2

the diameter is a straight line through the center of a figure so half of that would be the radius and our diameter is 10 so the radius is 5

our height is 20 so now we put it into the equation it will look like this

2·π·5·20+2·π·5^2

once you do the math you will get 785.39816

PLZ HELP ME, IM BAD AT THIS

Answers

Sum of angles in a pentagonSum of the interior angles of a polygon of n sides = (n – 2) × 180° = 540°.

hope it helps :-) ,

Light travels at approximately 186,000 miles per second. How is 186,000 written in scientific notation?

Answers

Answer:1.86*10^5

Step-by-step explanation:

Scientific notation is simple. First you place a decimal after the first numerical digit. Then for every digit after the decimal you would multiply by 10 to get back to the standard form. Instead of constantly multiplying by 10 you will raise the exponent.

Find the number that makes the ratio equivalent to 1:4.
5:

Answers

Answer:

5:20

Step-by-step explanation:

2√3+4√18 in simplest radical form

Answers

Answer:

[tex]2\sqrt{3} + 12\sqrt{2}[/tex]

Step-by-step explanation:

Simplify each term.

please help me pleaseeee

Answers

11 minutes or 10 minutes

Answer:

First, we can find the least common denominator for 8 and 3 which is 24.

5/8 = 15/24

1/3 = 8/24  

Then we can divide 15/24 by 8/24 which is 2 1/4.

If we then do 16 divided by 2 1/4 we get 7 1/9

Answer = 7 1/9

Step-by-step explanation:

please check screenshot

Answers

Answer:

Domain: {-2, -1, 0, 1, 2, 3}

Range: {-5, -3, -1, 1, 3, 5}

Step-by-step explanation:

The domain is the set containing all the x-coordinates, and the range is the set containing all the y-coordinates.

Domain: {-2, -1, 0, 1, 2, 3}

Range: {-5, -3, -1, 1, 3, 5}

HELP PLEASE NO LINKS!!!!!!!!!!!!!

Answers

9514 1404 393

Answer:

  17.98

Step-by-step explanation:

The sequence is geometric with first term a1 = 12 and common ratio r = 1/3. Put these numbers in the formula and do the arithmetic.

  [tex]S_n=a_1\cdot\dfrac{1-r^n}{1-r}\\\\S_6=12\cdot\dfrac{1-\dfrac{1}{3^6}}{1-\dfrac{1}{3}}=12\cdot\dfrac{3}{2}\cdot\dfrac{728}{729}=\dfrac{1456}{81}\approx\boxed{17.98}[/tex]

A class has 12 boys and 16 girls. The teacher needs to pick two volunteers. What is the probability that she chooses a girl given that she chose a boy first? All answers should be given as a fraction in simplest form!
Any help is appreciated!

Answers

Answer:

16/27

Step-by-step explanation:

12 boys and 16 girls

She already chose a boy so now there are (11+16) = 27 possible outcomes

There are 16 favorable outcomes(girl)

so the fraction is 16/27

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

what's the square root of 3 to the second power

Answers

Answer:

3

*if you ever need to do more math like this, I suggest using desmos :)

Answer: 3

Step-by-step explanation: So 3 square rooted 1.732² so there you have it

Please help I'm failing

Answers

Answer:

Unit rate!

Step-by-step explanation:

A unit rate is a rate that has a denominator of 1!

~ LadyBrain

an athlete is running around a circular path that has a diameter of 250 and an arc of 120 also use 3.14 as pie

Answers

Answer:

1257.14 m or 1.26 km

Step-by-step explanation: hope this helps :)

Donte bought a computer that was 15% off the regular price of $780. If 7.5% sales tax was added to the sale price of the computer, what was the total price Donte paid for it?

Answers

$712.72

780×0.15

117

780−117

663

663×0.075

49.725

49.725+663

712.72

Price = 780
Discount = 15%
Tax = 7.5%

Price after tax = price + 7.5/100 price
= 780 + 7.5/100 * 780
= 780 + 58.5
= 838.5
Price = 838.5

Price after discount = 838.5 - 15/100 * 780
= 838.5 - 117
= 721.5

will mark brainliest


The measure of angle P is ___ degrees, rounded to the nearest hundredth.

Answers

Answer:

53°

Step-by-step explanation:

Use sine cosine or tangent (SOHCAHTOA). For this example I'll use sine.

For sine you'd use the equation sin(x)=[tex]\frac{opp}{hyp}[/tex] where x is the missing angle measure

the opposite side from x is 45 cm and the hypotenuse is 53 cm

sin(x)=[tex]\frac{45}{53}[/tex]

then rearrange the equation like this x=[tex]sin^{-1}[/tex]([tex]\frac{45}{53}[/tex])

most graphing calculators should solve it from there if you plug it in, hope this helps! :)

*quickest correct answer gets brainlyest*
Write in standard form (the number) 6.16 x 10^4
61600
6160
6160.000
6160000

Answers

Answer:

[tex]61600[/tex]

Step-by-step explanation:

[tex]10^4\\\\10*10*10*10\\\\100*100\\\\10000\\\\\\10000*6.16\\\\61600[/tex]

Plz solve this question

Answers

Answer:

first one

Step-by-step explanation:

and is this a test?

Steve borrowed $2000 at 8% annual interest for 6 months. How much interest did he pay? Steve paid ? in interest.​

Answers

Answer:

I = (2,000) (0.08) (6)

I = (160) (6)

Steve pays $960 in interest

Step-by-step explanation:

I completed the quiz :)

plz help its timed!! will give brainliest

Answers

Answer:

x = 7

Hope this helps!-Finny

Pls help I need the maser quick

Answers

Answer: 2nd choice,
Use the calculator

in which groupthe given angels(160,20)will fall,if their sum is 180

Answers

Answer:

Supplementary angles.

Step-by-step explanation:

We can define two big groups of pairs of angles.

Complementary and supplementary angles.

Two angles are complementary if the sum of their measures is equal to 90°

Two angles are supplementary if the sum of their measures is equal to 180°

Here, we have the angles 160° and 20°, and we know that their sum is 180°

Then we can conclude that the given angles fall in the group of the supplementary angles.

What's the mean of 33,33,8,12,3,34,10

Answers

Answer:

The mean is: 19

Step-by-step explanation:

Add all of those numbers up (133)

Divide it by the total amount of numbers (7)

133÷7=19

Answer:

Mean: 19 | Median: 12 | Mode: 33 | Range: 31

Step-by-step explanation:

It will help you find any mean: https://www.calculators.org/math/mean-median-mode.php

1. What is 65% of 80?
2. 34 is what percent of 40?

Answers

Answer:

1. 52

2. 13.6

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

1. What is 65% of 80

Let's set up an equation.

When we see %, we can put that number over 100.

65% = 65/100 = 0.65

"of" means to multiply.

So, 65% of 80 is

0.65 • 80 = x

Multiply.

x = 52

52

2. 34 is what percent of 40?

"is" symbolizes the equals sign (=)

"of" means to multiply.

"what percent" is our unknown.

34 is what percent of 40

34 = x/100 • 40

Divide both sides by 40.

0.85 = x/100

Multiply both sides by 100.

85 = x

85%

Hope this helps!

I need the answer pls

Answers

Answer:

s

Step-by-step explanation:

sdd

solve the following :
7+2x/3= 5
and
3x+4/2= 9.5

Answers

Answer:

x= 4

x= 5

Step-by-step explanation:

7 + 2(4)/ 3 = 5

7 + 2(4)/3 = 5

7+8/3 = 5

15/3 = 5

3(5) +4/ 2 = 9.5

15+4/2 = 9.5

19/2 = 9.5

The person from above me is correct. Thanks for the points btw. Ask me if u need any help

The football team has a total of 50 jerseys. There are 20 medium-sized jerseys. What percent of the jerseys are​ medium-sized jerseys?

Answers

Answer:40%

Step-by-step explanation:20 divided by 50 is 0.4 then multiply that by 100 and get 40

Answer:

Well the equation for this would 50*.20 = ...

The first half of the answer would be 10.

BUT!

You need to subtract 10 from 50.

50-10 = 40!

There you go.

Step-by-step explanation:

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