The length of one leg of a right triangle is 3 feet more than the other leg. If the hypotenuse is 15 feet, find the length of each leg

Answers

Answer 1

Answer:

9 and 12

Step-by-step explanation:

Pythagorean Theorem. One of the most common Pythagorean triples is 3, 4, 5 with 3 and 4 the legs and 5 the hypoenuse. That will make 9, 12, 15 anotther trible because you are tripling the side lengths. 12-9=3 so this triangle works.


Related Questions

how many real solutions does x²+8x+20=0 have?​

Answers

Answer:

No real solutions

Step-by-step explanation:

Use the discriminant formula, D = b² - 4ac

D = b² - 4ac

Plug in b, a, and c:

D = b² - 4ac

D = (8)² - 4(1)(20)

D = 64 - 80

D = -16

Since the discriminant is negative, there are no real solutions

Since the solution is a complex value, hence the equation has no real solutions

Givne the quadratic expression x²+8x+20 = 0

Factorizing the function

x²+8x+20 = 0

x = -8±√8²-4(20)/2

x = -8±√64-80/2

x = -8±√-16/2

x = -8±4i/2

x = -4±2i

Since the solution is a complex value, hence the equation has no real solutions

Learn more on quadratic equations here:https://brainly.com/question/1214333

A paper company needs to ship paper to a large printing business. The paper will be
shipped in small boxes and large boxes. Each small box of paper weighs 45 pounds
and each large box of paper weighs 75 pounds. A total of 24 boxes of paper were
shipped weighing 1410 pounds altogether. Write a system of equations that could be
used to determine the number of small boxes shipped and the number of large boxes
shipped. Define the variables that you use to write the system.

Answers

45x+75y=1410 i hope this helps bc i’m pretty sure i’m learning the same thing but i hope this helps

if every red space i land on is -50 points, and i have -450 points, whats the minimum amount of spaces i could have landed on

Answers

Answer:I think 9 spaces

Step-by-step explanation:

Answer:

i think its 9

Step-by-step explanation: im not sure

4. The polynomial m is a function ofx. The graph of m has two zeros at -7 and 2. Which expression below
could be a possible expression of m?
a. (x + 7)(x - 2)
b. (x-7)(x+2)
c. - (x – 7)(x+2)
dr2 - 7x + 2
what’s the answer?

Answers

Answer: A foreshore

Step-by-step explanation:

Find the radius of circle

Answers

Answer:

40 ft in think

Step-by-step explanation:

Answer: 20 feet

Step-by-step explanation:

radius of a Circe is half of the diameter

40 divided by 2 = 20 feet

Find the value of y in the given square. Only write the number value of y. *
1 point

Answers

Answer: y would =4 because the other answers if you plug in 9 with the X you will get 13 and when you plug 4 where the Y is you get 13

Step-by-step explanation:

Cost of Freon Automobiles built before 1993 use Freon in their air
conditioners. The federal government now prohibits the manufacture of
Freon. Because the supply of Freon is decreasing, the price per pound is
increasing exponentially. Current estimates put the formula for the price per
pound of Freon at p(t) = 17.6(1.25)', where t is the number of years since
2000. Find the price of Freon in 2000 and 2010. How much will Freon cost in
the
year 2025?

Answers

9514 1404 393

Answer:

2000: 17.60 per pound2010: 163.91 per pound2025: 4,658.68 per pound

Step-by-step explanation:

We assume your formula is intended to be ...

  p(t) = 17.6(1.25^t)

__

For t=0, ...

  p(0) = 17.6

For t=10, ...

  p(10) = 17.6·1.25^10 ≈ 163.91

For t=25, ...

  p(25) = 17.6·1.25^25 ≈ 4,658.68

what does "x'' equal if 16=x-12

Answers

Answer:

x=28

Step-by-step explanation:

16 + 12 = 28

x=28

this is ez

Answer:

28

Step-by-step explanation:

Michael spent $18 at a local farmers’ market. The apples he bought cost $2 per pound, and the peppers cost $3 per pound. How many pounds of apples and peppers did he buy?

This equation represents the scenario:

2a + 3p = 18

Choose the equations that are equivalent.
Check all that apply.
p = two-thirds a + 6
p = negative two-thirds a + 6
a = negative 1 and one-half p + 9
a = 1 and one-half p + 9
a = StartFraction negative 3 p + 18 Over 2 EndFraction

Answers

Answer:

p=-2/3a + 6

a=-1 1/2p + 9

a= -3p+18/2

Answer:

B C and E

Step-by-step explanation:

got it right on edge after clicking A instead of B

Aly's science class was looking at bacteria through a microscope. Aly's teacher said some bacteria can be as small as 0.00365 cm long. What is the length of the bacteria written in scientific notation?

Answers

Answer:

The answer is 3.65 x 10^3 power.

Step-by-step explanation:

In scientific notation, you need only the one's place, so 36.5 would not work. I hope this helps, I know this is a day late and you probably figured it out, but just in case you didn't, here is the answer :)

Jaine has saved 7times as much as jared has saved. Jaine has saved $378.how much money has jared saved?

Answers

Jared saved $54. 378/7 = 548.

Answer:

54

Step-by-step explanation:

378 divided by 7 is how much Jared saved

Which of the following lists does not include all the factors of the number?
4: 1, 2,4
10: 1, 2, 5, 10
5: 1,5
21: 1, 21

Answers

The Answer is 21 because 7 and 3 can go in it as well

!PLEASE HELP!
Find the value of x when the perimeter of a rectangle is 24 meters , the length = x + 3 meters and the width = 2x meters.?

Answers

the answer is x=3; i did the work below

I dont get this
find the value of x

Answers

We have 89 and 36 inside of the triangle because 36 is a vertical angle and vertical angles are congruent)

And triangles are equal to 180.
So we add 89 with 36 and get 125 and we subtract 180 with 125 to get the missing angle 55

X and 55 are a linear pair so they are equal to 180.

180-55= 125

I think this is the correct answer X=125

Hope this helps :D

HURRY AND ANSWER ILL GIVE 50 POINTS AND BRAINLIST! HOW YOU WORKED OUT THE PROBLEM MUST BE INCLUDED
ALL FOUR NEED TO BE DONE!

Answers

Answer:

Question #12: a. ⅛ b. ³/₂₀

Question #4: 9 ÷ 3 = 3

Question #5: a. 80½ yards² b. $1288.00

Question #9: 1½ inches

Question #8: 16/20

Step-by-step explanation:

I hope this helped!

Find the value of 7u-5 given that 13u-6= 7.
Simplify your answer as much as possible.
please help asap if it’s not a real answer i will report but anyways ty if you answer

Answers

Answer:

Step-by-step explanation:

13u - 6= 7

13u = 7 + 6

13u= 13

u = 13/13 = 1

Putting value of u in the equation

7u - 5

7(1) - 5

= 7 - 5

= 2

You are most likely to encounter an irrational number when you are

Answers

Answer:

dealing with circles (using pi for circumference, area, arc angle, etc)

Answer:

Well, you can finding the area of a circle  

Step-by-step explanation:

helppp please I will give brainliest

write an equation ​

Answers

Answer:

Step-by-step explanation:

c=100g+50

then plug in g to get c values

Find the diameter of a circle which has an area of 2.7 cm?

Answers

Answer:

1.85

Step-by-step explanation:

please mark me brainliest

Answer:

5.94cm²

Step-by-step explanation:

d = 2.75

r = d/2 = 2.75/2 = 1.375

A= πr² = π(1.375)² = 5.94cm²

please mark brainliest

Solve for c. a (c – b) = d. d + ab OC= a OC = d - ab 6 d - ab O c = a ab - d о с — a​

Answers

Answer:

Solving the equation [tex]a (c -b) = d[/tex] for c we get [tex]\mathbf{c=\frac{d+ba}{a} }[/tex]

Step-by-step explanation:

We need to solve the equation [tex]a (c -b) = d[/tex] for c

Solving the given equation:

[tex]a (c -b) = d[/tex]

Divide both sides by a

[tex]\frac{a(c-b)}{a}=\frac{d}{a}\\c-b=\frac{d}{a}[/tex]

Adding b on both sides

[tex]c-b+b=\frac{d}{a}+b\\c=\frac{d}{a}+b\\c=\frac{d+ba}{a}[/tex]

So, solving the equation [tex]a (c -b) = d[/tex] for c we get [tex]\mathbf{c=\frac{d+ba}{a} }[/tex]

If P is the incenter of triangle JKL find each measure

Answers

Answer:

Check explanation section (check the attached file for the diagram to the question).

Step-by-step explanation:

Without mincing words let's dive straight into the solution to the question/ problem above.

From the question above, we have that the point p = the point at which the bisecting angle of the triangles meets, that is the term known as incenter.

So, we have that; 7x - 6 = 5x + 4. Hence;

2x = 10; x = 5°.  

Thus, the angle 5x + 4 = which is the angle KJP = 5x + 4. Recall from above that x = 5°.

Hence; 5x + 4 = 5(5) + 4 = 25 - 4 = 29°.

Also, the angle 7x - 6 = which is the angle KJP = 7x - 6. Recall from above that x = 5°.

Therefore, 7x - 6  = 7(5) - 6 = 35 - 6 = 29°.

The angle KJP + the angle LJP= the angle KJL.

Therefore, the angle KJL = 29° + 29° = 58°.

Angle KJL = 130 - ( angle KJL) - (angle KJL).

The angle KJL = 130° - ( 58°) - (52° ) = 70°

Write an equation of the line that passes through the given point and is (a) parallel and (b) perpendicular to the given line.

Answers

Answer:

(a). y = 3x - 11 ; (b). y = [tex]-\frac{1}{3}[/tex] x - 1

Step-by-step explanation:

Parallel lines have the same slopes

Slopes of perpendicular lines are opposite reciprocals.

(3, - 2)

The slope of given line is 3

(a). Equation of ║ line is

y + 2 = 3(x - 3)

y = 3x - 11

(b). Slope of perpendicular line is [tex]-\frac{1}{3}[/tex]

y + 2 = [tex]-\frac{1}{3}[/tex] (x - 3)

y = [tex]-\frac{1}{3}[/tex] x - 1

The required equation of a line parallel to the line will be y = 3x - 7

The required equation of the perpendicular line is y = -1/3 - 7

Using the coordinate points to get the equation of the line (1, -4) and (2, -1)

The standard form of the equation is expressed as y = mx + b

m is the slope

b is the y-intercept

Get the slope:

m = y2-y1/x2-x1

m = -1+4/2-1

m = 3/1

m = 3

Get the y-intercept

-4 = 3(1) + b

b = -4-3

b = -7

The required equation of a line parallel to the line will be y = 3x - 7

For the equation of the line perpendicular, the slope of the line will be -1/3

The required equation of the perpendicular line is y = -1/3 - 7

Learn more here: https://brainly.com/question/17003809

Please help ASAP Due in a week! Marking Brainliest!

Answers

Answer:

what's due in a week?

Step-by-step explanation:

I will help btw.. ;)

Answer:

There is nothing here it is blank????

What do you need help with?

Step-by-step explanation:

Complete parts (a) and (b) below.

The number of dogs per household in a small town

Dogs

0

1

2.

3

Probability 0.650 0.216 0.087

0.026

4

5

0.014

0.009

(a) Find the mean, variance, and standard deviation of the probability distribution

Find the mean of the probability distribution

(Round to one decimal place as needed.)

Answers

Answer:

a) The mean of the probability distribution = 0.6

b) The variance of the probability distribution = 0.3

c) The standard deviation of the probability distribution = 0.5

Step-by-step explanation:

a) Data and Calculations:

number of dogs per household in a small town

Dogs   Probability  Expected  Mean Diff    Mean Diff.

                               Value                            Squared

0          0.650           0               -0.569         0.32376

1           0.216            0.216        -0.353          0.12461

2         0.087            0.174         -0.395          0.15603

3          0.026            0.078       -0.491            0.24108

4          0.014             0.056       -0.513           0.26317

5          0.009          0.045       -0.524           0.27458

The mean =           0.569 (Sum of expected value)                          

Variance = mean of squared differences = 0.27665 (1.38323/5)

Standard deviation = square root of variance = 0.526 = 0.5

The mean, variance and standard deviation of the considered probability distribution are evaluated to be:

Mean of the distribution = 0.569Variance of the distribution = 0.923 approxStandard deviation of the distribution = 0.96 approx

How to find the mean (expectation) and variance of a random variable?

Supposing that the considered random variable is discrete, we get:

[tex]Mean = E(X) = \sum_{\forall x_i} f(x_i)x_i\\\\Variance = Var(X) = (\sum_{\forall x_i} f(x_i)x^2_i) - (E(X))^2\\[/tex]

As standard deviation is positive root of variance, thus,

[tex]\sigma = \sqrt {Var(X)}[/tex]

where [tex]x_i; \: \: i = 1,2, ... ,n[/tex] is its n data values

and  [tex]f(x_i)[/tex] is the probability of  [tex]X = x_i[/tex]

For this case, let we suppose that:

X = number of dogs per household in the considered town.

Then we have the probability distribution for values of X as:

Number of dogs     Probability

              0                  0.650

              1                   0.216

              2                  0.087

              3                  0.026

              4                  0.014

              5                  0.009

Thus, we get:

Mean of X : E(X) = [tex]0 \times 0.650 + 1 \times 0.216 + 2 \times 0087 + 3 \times 0.026 + 4 \times 0.014 + 5 \times 0.009 = 0.569[/tex]

Variance of X:

Var(X) =

[tex](0^2 \times 0.650 + 1^2 \times 0.216 + 2^2 \times 0.087 + 3^2 \times 0.026 + 4^2 \times (0.014)\\ + 5^2 \times (0.009)) - (0.569)^2 \approx 0.923[/tex]

Standard deviation of X = [tex]\sigma = \sqrt {Var(X)} \approx \sqrt{0.923} \approx 0.96[/tex]

Thus, the mean, variance and standard deviation of the considered probability distribution are evaluated to be:

Mean of the distribution = 0.569Variance of the distribution = 0.923 approxStandard deviation of the distribution = 0.96 approx

Learn more about expectation of a random variable here:

https://brainly.com/question/4515179

Completely factored form of t2 - 36

Answers

Answer:

( t + 6 ) ( t − 6 )

Step-by-step explanation:

t 2 − 36

since 36 is a square number, you'll have to unsquare it to get

t 2 −  [tex]6^{2}[/tex]

Since both terms are perfect squares, factor using the difference of squares formula,  a 2 − b 2 = ( a + b )( a − b )  where  a = t  and  b = 6

You should get :  ( t + 6 ) ( t − 6 ) !

Hope this helped :)))

Use the law of sines to find side b.

Answers

Answer:

83.3

Step-by-step explanation:

Rachel runs 3.2 miles each weekday and 1.5 miles each day of the weekend. How many miles will she have run in 6 weeks?

Answers

There’s 5 weekdays in a week so 3.2 x 5 = 16 so 16 is how many miles she runs for every weekday for one week since it’s asking 6 weeks multiply 6 x 16 = 96 so 96 is how many miles she ran in 6 weeks for every weekday now you need the weekends there’s 2 days on the weekend so 1.5 x 2 = 3 so 3 is how many miles she runs on the weekend for one week now multiply 3 x 6 = 18 so 18 is how many miles she runs every weekend for 6 weeks now you add it all together so 96 + 18 = 114 so Rachel runs 114 miles in a span of six weeks

what is |13| 16 is it = > < ?

Answers

Answer:

<

General Formulas and Concepts:

Math

Reading a number line

Algebra I

|Absolute Value| makes all numbers positive

Step-by-step explanation:

Step 1: Define

|13| = 13

16

Step 2: Compare

16 is greater than 13.

Therefore, |13| < 16.

Answer:

<

Step-by-step explanation:

because the absolute value of |13| is 13 so 13 is less than 16

Express in slope form

Answers

Y= -x+5 is the answer and

3/4 divided by 1/5 in its best form

Answers

3 3/4 ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ

Answer:

it's 15\4 ur answer dear.

Just multiply 1\3 by reciprocal of 1\5.

Hope u Got it .

Mark it As Brainliest please.

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