A right triangle has a hypotenuse of 15 cm. What is the length for the missing leg if one of the two legs of the triangle is 5?

Answers

Answer 1

Answer:

The other leg is  12 cm  long.

Step-by-step explanation:

c

2

=

a

2

+

b

2

,

where:

c

is the hypotenuse, and  

a

and  

b

are the other two sides (legs).

Let  

a

=

9 cm

Rearrange the equation to isolate  

b

2

. Plug in the values for  

a

and  

c

, and solve.

b

2

=

c

2

a

2

b

2

=

(

15 cm

)

2

(

9 cm

)

2

Simplify.

b

2

=

225 cm

2

81

cm

2

b

2

=

144 cm

2

Take the square root of both sides.

b

=

144 cm

2

Simplify.

b

=

12 cm

Answer 2

Answer:

14.14 cm

Step-by-step explanation:

using the Pythagorean theorem:

?² = 15² - 5² = 225 - 25 = 200

? = √200 = 14.14 cm


Related Questions

Need help on this please asap.

Answers

Answer:

This is confusing

Step-by-step explanation:

A train ticket in a certain city is$1.50. People who use the train also have the option of purchasing a frequent rider pass for $15.75each month. With the pass, each ticket costs only $0.75. Determine the number of times in a month the train must be used so that the total monthly cost without the pass is the same as the total monthly cost with the pass.

Answers

Answer:

15.75-1.50=14.15

14.15-0.75=13.50

Find the slope!
19.) (-3, 4) and (-4,-2)

Answers

Answer:

Slope is 6

Step-by-step explanation:

(-3, 4) and (-4, -2)

m=(y2-y1)/(x2-x1)

m=(-2 - 4)/(-4 + 3)

m= (-6)/(-1)

m = 6

If you place a 37-foot ladder against the top of a building and the bottom of the ladder is 22 feet from the bottom of the building, how tall is the building? Round to the nearest tenth of a foot

Answers

Answer:

29.7 ft tall

Step-by-step explanation:

29.75ft. tall is the building.

What is Pythagorean theorem?

Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle)—or, in familiar algebraic notation, a2 + b2 = c2.

Here, we have,

from the figure , we get,

Hypotenuse = 37 ft.

Base= 22 ft.

Let, the building = height = x ft.

Now , by Pythagorean theorem, we have,

x=√37²-22²

 =√885

 =29.75

Hence, 29.75ft. tall is the building.

To learn more on Pythagorean theorem click:

brainly.com/question/24302120

#SPJ2

What is the sum?

46 mins left please help!!!!!

Answers

The sum is 6/x^2 so the answer is A

Which of the following equations is of a parabola with a vertex at (3.0)?

Answers

Answer:

D) y= x^2 +3

Step-by-step explanation:

What is the distance between points A and B? Enter your answer, rounded to the nearest tenth, in the box. units

Answers

Answer:

Distance between A and B = 10.4 unit (Approx.)

Step-by-step explanation:

Given:

Coordinate of A = (-5 , 2)

Coordinate of B = (5 , 5)

Find:

Distance between A and B

Computation:

Using distance formula

Distance between two point = √(x1 - x2)² - (y1 - y2)²

Distance between A and B = √(-5 - 5)² - (2 - 5)²

Distance between A and B = √(-10)² - (-3)²

Distance between A and B = √100 + 9

Distance between A and B = √109

Distance between A and B = 10.4403

Distance between A and B = 10.4 unit (Approx.)

Answer:

10.4

Step-by-step explanation:

took the k12 test (:

please help me this is confusing please add an explanation to it

Answers

Answer:

2

Step-by-step explanation:

As it would look better.

1 would make the graph too big

12 would be useless as there are no "answers" more than 12

10 would be useless too as the biggest number used is 10. therefore, 5, 7 would be cramped and too hard to figure out.

PLZ HELP MEE!!!
NO LINKS OR WEBSITES!!! YOU WILL GET REPORTED!!!

Answers

Answer:

[tex]90 in^{2}[/tex]

Step-by-step explanation:

Base is an equilateral triangle

slant hight= 12 in

side of base= 5 in

so, perimeter of base = 3(5)=15 in

lateral area = 1/2 pl =1/2 (15)(12) in

=90 in²

--------

hope it helps..

have a great day!!

Answer:

Step-by-step explanation:

lateral area = 1.5*12*5 =90

If = cos + (3 − 2

2

) − (3 + 2), find

2

Answers

Answer:

2

Step-by-step explanation:

I found it

What did you really want me to do

Answer: =−4.459698

Step-by-step explanation: Hope this is what you want & Hope this help :D

A ball rebounds 70% of its original height. It is dropped from an initial height of 400 cm.

Answers

Answer:

280cm

Step-by-step explanation:

Given data

Robound= 70%

Initial height= 400cm

Let us calculate the final height after the rebound

=70/100*400

=0.7*400

=280cm

Hence the new height after the rebound is

280cm

please help. I need this one and my last question and im done​

Answers

Answer:

The value of X is 4, and the area of the triangle is [tex]60^2 units[/tex].

Step-by-step explanation:

First we need to add up all the sides. Doing so will give us the equation [tex]8x+8=40[/tex]. Subtracting 8 from both sides will give us [tex]8x=32[/tex]. Next we divide both sides by 8 in order to isolate the variable, which gives us [tex]x=4.[/tex]

This gives us 4 as our value of x.

Now we need to find the area. Substituting x into the values for base and height will give us 8+7 = 15 for our height, and 4+4=8 for our base. 15*8 is 120, and divided by two gives us 60 as out area.

Thus, x=4 and area=60.

Good day from NightyKnight.

he following data are from an experiment designed to investigate the perception of corporate ethical values among individuals who are in marketing. Three groups are considered: management, research and advertising (higher scores indicate higher ethical values). Marketing Managers Marketing Research Advertising 8 7 10 7 7 11 6 6 10 7 6 9 8 7 10 6 6 10 Compute the values identified below (to 1 decimal, if necessary). Sum of Squares, Treatment Sum of Squares, Error Mean Squares, Treatment Mean Squares, Error Use

Answers

Answer:

Sum of Squares=50.5

Treatment Sum of Squares, 4.5

Error Mean Squares, 0.3

Treatment Mean Squares 0.9

Error Sum of Square = 3

Step-by-step explanation:

Given data

Observation A B C

1                8 7 10

2                7 7 11

3                6 6 10

4                7 6 9

5               8 7 10

6                6 6 10

A B C Row total (xr)

1 8 7 10 25

2 7 7 11 25

3 6 6 10 22

4 7 6 9 22

5 8 7 10 25

6 6 6 10 22

Col total (xc) 42 39 60 141

Using calculator for summarizing data

∑x²=1155 ⇒(A)

∑x²c/r=16(42²+39²+60²)

=1/6(1764+1521+3600)

=1/6(6885)

=1147.5⇒(B)

∑x²r/c=13(25²+25²+22²+22²+25²+22²)

=1/3(625+625+484+484+625+484)

=1/3(3327)

=1109⇒(C)

(∑x)²/n=(141)²/18

=19881/18

=1104.5⇒(D)

Sum of squares total

SST=∑x²-(∑x)²/n=(A)-(D)

=1155-1104.5

=50.5

Sum of squares between rows

SSR=∑x²r/c-(∑x)²/n=(C)-(D)

=1109-1104.5

=4.5

Sum of squares between columns

SSC=∑x²c/r-(∑x)²n=(B)-(D)

=1147.5-1104.5

=43

Sum of squares Error (residual)

SSE=SST-SSR-SSC

=50.5-4.5-43

=3

ANOVA table

Source                     Sums         Degrees of           Mean Squares

of Variation        of Squares          freedom                                 F- value

                                      SS                DF                  MS              

Between Treatments SSR=4.5      r-1=5        MSR=0.9              3

Between Blocks          SSC=43     c-1=2       MS =21.5      71.6667

Error (residual)         SSE=3    (r-1)(c-1)=10        MSE=0.3  

Total                    SST=50.5      rc-1=17                                  

Math please help!!!!

Answers

Answer:

6.3 years

Step-by-step explanation:

Given

[tex]P = 22400[/tex] --- initial value

[tex]r = 12\%[/tex] -- rate

[tex]A = P(0.88)^t[/tex] --- function

Required

Find t when [tex]A = 10000[/tex]

We have: [tex]A = P(0.88)^t[/tex]

Substitute: [tex]A = 10000[/tex] and [tex]P = 22400[/tex]

[tex]10000 = 22400 * 0.88^t[/tex]

Divide both sides by 22400

[tex]0.4464 = 0.88^t[/tex]

Take log of both sides

[tex]\log(0.4464) = \log(0.88^t)[/tex]

Apply law of logarithm

[tex]\log(0.4464) = t\log(0.88)[/tex]

Solve for t

[tex]t = \frac{\log(0.4464)}{\log(0.88)}[/tex]

[tex]t = \frac{-0.3503}{-0.0555}[/tex]

[tex]t = 6.31[/tex]

[tex]t \approx 6.3[/tex]

Please help?
(I learned this way back so I kinda forgot)

Answers

Answer:Question

Please help?

(I learned this way back so I kind forgot)

1 Which model represents 2(-3)

figure c represents  2(-3)

Answer:

1 Which model represents 2(-3)

figure c represents  2(-3)

Step-by-step explanation:

Pls help I’ll brainlest ASAP

Answers

Answer:

B

Step-by-step explanation:

B is the best choice because the sample is random and represents a small portion of the entire school. The other choices are targeted for a specific group that wouldn't represent all students.

Answer:

B

Step-by-step explanation:

What is the area of a concrete floor that is 110 feet long and 65 feet wide? The floor area is square feet.​

Answers

Answer:

7150 square feet

Step-by-step explanation:

The area of a rectangle is the length times the width.

110*65=7150

The following box plot shows the number of years during which 40 schools have participated in an interschool swimming meet:

A box and whisker plot is drawn using a number line from 0 to 10 with primary markings and labels at 0, 5, 10. In between two primary markings are 4 secondary markings. The box extends from 1 to 6 on the number line. There is a vertical line at 3.5. The whiskers end at 0 and 8. Above the plot is written Duration of Participation. Below the plot is written Years.

At least how many schools have participated for more than 1 year and less than 6 years?

4 schools
8 schools
10 schools
20 schools

Answers

Answer:

20 schools is your answer

Have a good day

Answer:

20 is ur answer!

Step-by-step explanation:

I took the test and got it right, also credit goes to the other guy! Have a good day/night! <3

hewo the whole world that i hate^^

Royston plays a video game 7 times. His scores are 60, 65, 66, 74, 69, 72, and 63. Which is the best measure of center of Royston's performance?


median


middle number


mean


mode

Answers

Answer:

Mean: 67

Median: 66

Mode: no mode

Range: 14

Step-by-step explanation:

Answer:

mean

Step-by-step explanation:

Anyone know this answer Help ASAP

Answers

Answer:

The right answer is A (x=2,y=-1)

7. What is the area of a triangle whose base is 14 cm and a height of 12 cm? ​

Answers

Answer:

84 cm²

Step-by-step explanation:

1/2x14x12=84

The answer is 84 because h•n/2 14•12/2= 84

F(6) = 2(6)^2 + 5 sqrt(6-2)

Answers

Answe well this look complicated gimme some time

Step-by-step ex

Which of the following sentences describes an equilateral triangle?

A:
Two sides are the same length.

B:
Each angle is less than 90 degrees.

C:
One of the angles equals 90 degrees.

D:
The lengths of all three sides are the same.

Answers

D is the answer “The lengths of all three sides are the same

Sharon paid $19.50 sales tax on a new camera. If the sales tax rate is 6.5%, what was the total cost of the camera including tax? Round to the nearest cent (hundredths place).

Answers

Answer:

i think its 1.2 dollors im not 100 percent sure

Step-by-step explanation:

Please help!

If the measure of O equals 69°, then what is the measure of N?
A.
81°
B.
21°
C.
111°
D.
69°

Answers

Answer:

D. 69°

Step-by-step explanation:

Opposite angles are congruent.

Answer:

N is also 69 so the an is D) 69

Step-by-step explanation:


The total cost of attending the movies, y, is directly proportional
with the number of tickets purchased, x. If it costs a family of four
$38.00 to attend the movies, what is the slope of this
relationship?

Answers

Answer:

The slope should be 34.00.

Step-by-step explanation:

Help pleaseeeeeeeeeeee

Answers

Answer;

Mark traveled at the highest velocity to Charleston

He traveled a velocity of a lot of miles and distance

A class has five students. What is the probability that exactly two of the students were born on a weekend?

Answers

Answer:

This is binomial.

Here n = 5

p = 2/7

mean = np = 5*2/7 = 10/7 = 1.42857

standard deviation = sqrt(npq) = sqrt(5*2/7*5/7) = 1.01015

Step-by-step explanation:

Work Shown.

The probability that exactly two of the five students of the class were born on weekend is 0.2975

What is Probability?

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

Given:

n = 5

The probability that any student was born on weekend, P(W) = (2 / 7)

and, the probability that any student was not born on weekend

P(W') = {1 - P(W)}

        = {1 - (2 / 7)}

        = (5 / 7).

Thus, the probability that exactly two of the five students of the class were born on weekend

= ([tex]^5C_2[/tex]) x {P(W)}² x {P(W')}³

= 10 x {(2 / 7)²} * {(5 / 7)³}

= 10 x (4 / 49) x (125 / 343)

= (5000 / 16807)

≈ 0.2975

Learn more about probability here:

https://brainly.com/question/11234923

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PLZZ NO LINK IF U GET IT RIGHT I WILL GIVE U A BRIANLY

Answers

Answer:

B) f = (6 x 8) + 4

Step-by-step explanation:

Remember this: 1 cup = 8 fl oz

They're asking for the total number of fluid ounces of detergent, and we're given 6 cups and 4 fl oz.

Set up a proportion to find the total number of fl oz from the 6 cups, let variable x be the total oz of the 6 cups:

[tex]\frac{1 cup}{8 oz} = \frac{6 cups}{x oz}[/tex]

The answer should be 48 fl oz, then you add the 4 fl oz to have the total of 52 fl oz.

SORRY just wanted a full break down of the problem solved. I made it too complex than it's supposed to be. Hope my answer helps a bit. :)

Completing the table

Answers

yes yes yes yes yea. a a haha
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