The hypotenuse of a right triangle is 17. The lengths of the two legs are whole numbers. What are they?

Answers

Answer 1

Answer:

The legs would be 15 & 8

Step-by-step explanation:

According to the Pythagorean theorem:

17² = a² + b²

289 = a² + b²

289 = 225 + 64

289 = 15² + 8²

The lengths of the two legs are 15 and 8.


Related Questions

find the product and show your work 34,879 x 10 =

Answers

Answer:

34,879 × 10 = 348,790

Step-by-step explanation:

The answer is 348,790 because 34,879 multipled by 10 is 348,790 as shown in the picture above ^^

Answer:

348790

Step-by-step explanation:

According to the Power of 10 rule, whenever you divide by 10 [⅒], you move the decimal mark to the left each time, and of course, whenever you multiply by 10, you move the decimal mark to the right each time. In this case, the decimal mark is just after the 2, so multiplying by 10 will add a zero to the number, making it 348790 [three forty-eight thousand, eight hundred seventy-nine].

I am joyous to assist you anytime.

Which expression is equivalent to 28(15+9) ?
28 + 15 x 28 +9
28 x 15 +9
28 + 15 + 28 +9
28 x 15+28 x 9

Answers

The answer is the second option, 28x15+9

The expression 28(15+9) can be simplified and rewritten using the distributive property as Option D. 28 x 15 + 28 x 9. This is the correct equivalent expression.

To determine which expression is equivalent to 28(15+9), we should first simplify the expression inside the parentheses:

Step 1: Simplify inside the parentheses: 15 + 9 = 24.

Step 2: Multiply by 28: 28 x 24.

Now, let's break it down further:

Using distributive property: 28(15+9) can be rewritten as 28 x 15 + 28 x 9, which will result in distributive multiplication.

28 + 15 x 28 +9: Incorrect, this misinterprets the operations.28 x 15 +9: Incorrect, this does not distribute multiplication correctly.28 + 15 + 28 +9: Incorrect, this is simply adding all terms.28 x 15 + 28 x 9: Correct, this distributes the multiplication as required.

Therefore, the equivalent expression is Option D.  28 x 15 + 28 x 9.

Complete question:

Which expression is equivalent to 28(15+9) ?

A. 28 + 15 x 28 +9

B. 28 x 15 +9

C. 28 + 15 + 28 +9

D. 28 x 15+28 x 9

The slope of the line below is -1/7. Write a point slope equation of the line using the coordinates of the labeled point

Answers

Answer:

D. y - 3 = -⅐(x - 3)

Step-by-step explanation:

According to the Point-Slope Formula, y - y₁ = m(x - x₁), all the negative symbols give the OPPOSITE terms of what they really are, so be EXTREMELY careful inserting the coordinates into the formula with their CORRECT signs.

I am joyous to assist you anytime.

Equation of line is  [tex]y = -\frac{x}{7} + \frac{24}{7}[/tex]

Formula for finding Equation of line?

[tex]y - y_{1} = m ( x - x_{1} )[/tex]

where [tex](x_{1},y_{1})[/tex] are coordinates and m is slope.  

How to solve?

Given:- Coordinate  (3,3) and slope [tex]\frac{-1}{7}[/tex]

Equation of line:

[tex]y - y_{1} = m ( x - x_{1} )[/tex]

given  : [tex]x_{1} = 3 , y_{1} = 3 , m = -\frac{1}{7}[/tex]

substituting values, Equation of line is:

y - 3 = [tex]-\frac{1}{7}[/tex] ( x - 3)

[tex]y = - \frac{x}{7} + \frac{3}{7} + 3[/tex]

[tex]y = -\frac{x}{7} + \frac{24}{7}[/tex]

To learn more about finding Equation of line visit:

https://brainly.com/question/19417700

#SPJ2

consider the graph below. Which of the following coordinates belong in the box?

Answers

I think it’s b my guess

Answer:

Option b) (-26,-5)

Step-by-step explanation:

We are given the following information in the question.

The x-coordinate changes from -21 to-16. Thus its value increases 5 units.

The y -coordinate changes from -9 to -13. Thus, it decreases by a value of 4 units.

So to obtain the coordinates in the box:

x-coordinate

We decrease 5 units from -21 that is -21 - 5 = -26

y- coordinate

We add 4 units to -9 that is -9 + 4 = -5

So, the coordinates in the box is given as:

Option b) (-26,-5)

You are buying 3 shirts and 2 pairs of pants. You spend $300. Let x represent
the price of the shirt and y represent the price of the pants. Write an equation
that can be used to find the price of the shirts and pants.
Directions: Write the equation in both slope-intercept and standard form for each of the
scenarios below.
Using the Standard Form, identify the x-intercept of the graph and explain
how the x-intercept relates to the price of the pants and shirts.

Answers

Answer:

see the explanation

Step-by-step explanation:

Let

x ----> the price of the shirt

y ---> he price of the pants

we have that

The price of three shirts plus the price of two paints must be equal to $300

so

[tex]3x+2y=300[/tex]

This is the equation of the line in standard form

Convert to slope intercept form

[tex]y=mx+b[/tex]

Isolate the variable y

[tex]3x+2y=300[/tex]

subtract 3x both sides

[tex]3x+2y-3x=-3x+300[/tex]

[tex]2y=-3x+300[/tex]

Divide by 2 both sides

[tex]y=-1.5x+150[/tex] ----> equation of the line in slope intercept form

Find out the x-intercept

Remember that the x-intercept is the value of x when the value of y is equal to zero

In this problem, the x-intercept is the price of the shirt when the price of the paints is equal to zero

Using the Standard Form, identify the x-intercept of the graph

The standard form is

[tex]Ax+By=C[/tex]

The x-intercept is C/A

we have

[tex]3x+2y=300[/tex]

so

[tex]300/3=100[/tex]

The x-intercept is the point (100,0)

That means---> The price of the shirt is $100 when the price of the paints is equal to $0

Alternative method to find out the x-intercept (equation in slope intercept form)

[tex]y=-1.5x+150[/tex]

For y=0

[tex]0=-1.5x+150[/tex]

solve for x

[tex]1.5x=150[/tex]

[tex]x=\$100[/tex]

The x-intercept is the point (100,0)

Answer:

you should give the person who first answered this brainliest

Step-by-step explanation:

y=3x-5 complete missing value in the solution to the equation (1,_) i cant find the second point

Answers

[tex]\bf y = 3x - 5\qquad \qquad \boxed{(\stackrel{x}{1}~~,~~\stackrel{y}{?})}\qquad \qquad y = 3(\stackrel{x}{1})-5\implies y = -2 \\\\[-0.35em] ~\dotfill\\\\ ~\hfill (1,-2)~\hfill[/tex]

If 2x+1=5, then r=2.
Identify the inverse of the conditional statement.

If x=2, then 2x+1=5.
If 2x+15, then x =2.
If 2x +1+5, then x#2.
If x#2, then 2x+1+5.

Answers

Answer:

if x=2 (r) then 2x+1=5

Step-by-step explanation:

Considering an "if and if only" type of function then the answer is A. if x=2 then 2x+1=5

Mary wants to make cookies. To make cookies she needs half a cup of flour per batch of cookies. If Mari has 5 cups of flour how many batches can Mari make?

Answers

10!

There's two halves in a whole. So we could do 5 x 2 to get our answer. Hope this helps!

Hong traveled 37.9 miles each day for the past 6 days. How many miles did he travel in all?

Answers

Answer:

227.4 miles

Step-by-step explanation:

If Hong travelled 37.9 each day, then in 6 days :

37.9 × 6 = 227.4 miles

Answer:

227.4 miles  hope this helps :3

If your target number of calories is 1700 per day to lose weight, but you are consuming 2500 calories per day. Then, your target is to consume what percent of the calories you are consuming?

Answers

Your answer should be approximately 78%

Answer:

32%

Step-by-step explanation:

We have been given that your target number of calories is 1700 per day to lose weight, but you are consuming 2500 calories per day.

First of all, we will find number of calories you should eat to lose weight by subtracting 1700 calories from 2500 calories.

[tex]2500-1700=800[/tex]

Now, we will find 800 is what percent of 2500.

[tex]\frac{800}{2500}\times 100=0.32\times100=32\%[/tex]

Therefore, your target should be consume 32% of the calories, you are consuming.

Please answer this correctly

Answers

Answer:

Step-by-step explanation:

41:2

41:43

This is because the question wants the number of burgers with onions to the total amount of burgers. The question already states 41 have onions. It also states the total amount of burgers is 43. Therefore, your answer is 41:43.

How do I solve the rest of this problem?

Answers

Answer:

Step-by-step explanation:

continuing from the 3rd line....

10x - 1 = 10x + 8     (subtract 10x from both sides)

10x - 10x - 1 = 10x -10x + 8

-1 = + 8   (this last line is not part of the solution but i'm showing it here so you can see what is going on, obviously -1 cannot be 8)

Since   -1  ≠ 8, the equation has no (i.e zero) solutions

1. Write 306,000,004,210 in words.​

Answers

Three-hundred-six-billion four-thousand two-hundred ten

Answer:

three hundred and six billion, four thousand, two hundred and ten

I am thinking of a number.Multply my number 5 and add 13

Answers

Hey!

-----------------------------------------------

[tex]\boxed{ \bf 5n~+~13}[/tex]

-----------------------------------------------

Solution:

Number = n

Multiply a number and five: 5n

Add thirteen: + 13

End Result: 5n + 3

-----------------------------------------------

Hope This Helped! Good Luck!

13) zy + 4y; use y=5, and z=2

Answers

Answer:

30

Step-by-step explanation:

Substitute the given values for y and z into the expression

zy + 4y = (2 × 5) + (4 × 5) = 10 + 20 = 30

Answer:30

Step-by-step explanation:2x5+4x5=30

Jack birthday is in 6 weeks how many day is it until jacks birthday? Complete the explanation on how you could use a number line to solve. I would draw_equal jumps of _beginning at 0 on the number line. The jumps end at _

Answers

Answer:

42 days

Step-by-step explanation:

1 week equals 7 days

7 × 6 = 42

2(48)+2(8w)+2(6w)=208 please explain

Answers

Answer:

w=4

Step-by-step explanation:

2(48)+2(8w)+2(6w)=208

1) Start by Distributing the value outside of the parenthesis:

96+16w+12w=208

2) Combine alike terms:

96+28w=208

3) Subtract 96 from both sides:

28w=112

4)Divide both sides by 28 to isolate w:

w=4

Let me know if you do not understand :)

401,378 in word form

Answers

Answer:

Step-by-step explanation:

four hundred one thousand, three hundred seventy-eight

Jessica and Riley are selling wrapping paper for a school fundraiser. Customers can buy rolls of plain wrapping
paper or holiday wrapping paper. Jessica solf 5 rolls of plain and 13 rolls of holiday wrapping paper for a total
$272. Ryan solf 11 rolls of plain and 16 rolls of holiday wrapping paper for a total $359. What is the cost of one
roll of plain wrapping paper and one roll of holiday wrapping paper?

Answers

Answer:

Cost of one roll of plain wrapping: [tex]\$5[/tex]

Cost of one roll of holiday wrapping paper:  [tex]\$19[/tex]

Step-by-step explanation:

Let be "p" the cost in dollars of one roll of plain wrapping paper and "h" the cost in dollars of one roll of holiday wrapping paper.

Based on the information given, we can set up this system of equations:

[tex]\left \{ {{5p+13h=272} \atop {11p+16h=359}} \right.[/tex]

In order to solve it, we can use the Substitution method. The steps are:

1. Solve for "p" from the first equation:

[tex]5p+13h=272\\\\5p=272-13h\\\\p=\frac{272-13h}{5}[/tex]

2. Substitute the above into the second equation and solve for "h":

[tex]11(\frac{272-13h}{5})+16h=359\\\\598.4-28.6h+16h=359\\\\-12.6h=359-598.4\\\\h=\frac{-239.4}{-12.6}\\\\h=19[/tex]

3. Substitute the value of "h" into [tex]p=\frac{272-13h}{5}[/tex]:

[tex]p=\frac{272-13(19)}{5}\\\\p=5[/tex]

What fraction represents 0.1875 ft?

Answers

Answer:

There is not much that can be done to figure out how to write 0.1875 as a fraction, except to literally use what the decimal portion of your number, the .1875 , means. Since there are 5 digits in 1875 , the very last digit is the "100000th" decimal place. So we can just say that .1875 is the same as 1875/100000.

Step-by-step explanation:

Answer:

fraction decimal

3/16   0.1875

hope this helps :3 & sorry if its wrong

Which expression is equal to [tex]2\sqrt{-27}[/tex] ?




−6i3√

63i−−√

6i3√

−63√

Answers

Answer:

6i3√ or 6i√3

Step-by-step explanation:

it takes away the - it is a trick question

Using root properties and complex numbers, it is found that the equivalent expression is:

[tex]6i\sqrt{3}[/tex]

----------------------------------

The most widely used definition in complex numbers is:

[tex]i^2 = -1 \rightarrow \sqrt{-1} = i[/tex]

The expression is:

[tex]2\sqrt{-27} = 2\sqrt{3 \times -9} = 2\sqrt{3 \times 9 \times -1}[/tex]

Applying the property:

[tex]2\sqrt{3 \times 9 \times -1} = 2\sqrt{3}\sqrt{9}\sqrt{-1} = 6i\sqrt{3}[/tex]

[tex]6i\sqrt{3}[/tex] is the equivalent expression.

A similar problem is given at https://brainly.com/question/13201088

Kim's age is twice that of her sister when you add Kim's age to her sisters age to get 24 how old is each sister

Answers

Kim is 16 and her sis is 8 because 8+8 equals 16 and 8+16 equals 24

the second of two numbers is 3 less than twice the first. Their sum is 36. Find the numbers.

Answers

Answer:

13 and 23

Step-by-step explanation:

create an equation to solve:

(2x-3) + x = 36

3x - 3 = 36 combine like terms

+3 +3 add 3 to both sides

3x = 39

3 3 divide both sides by 3

x = 13

13 is the first number

the 2nd number is 3 let than twice the first so we create and solve a new equation:

2x - 3 = ?

2(13) = ? substitute 13 from the

smaller number to solve

23 = the 2nd number

700+a=3944-b=c-80=3000​

Answers

Answer:

A = 3244

B = 864

C = 3080

Step-by-step explanation:

 700 + a = 3944

 -700          -700

a = 3244

 3944 - b = c - 80 = 3000

c - 80 = 3000

  +80       +80

c = 3080

3944 - b = c ---> 3944 - b = 3080

                          -3944        -3944

                               -b = -864 --->  [tex]\frac{-b}{-1} = \frac{-864}{-1}[/tex]

The solution to the system of equations is:

a= 2380,

b= 864

c= 3080

The given equations are:

1. [tex]\(700 + a = 3944 - b\)[/tex]

2. [tex]\(3944 - b = c - 80\)[/tex]

3. [tex]\(c - 80 = 3000\)[/tex]

From equation 3, we can solve for [tex]\(c\)[/tex]:

[tex]\[c - 80 = 3000\][/tex]

Adding 80 to both sides:

[tex]\[c = 3080\][/tex]

Now, substituting this value of [tex]\(c\)[/tex] into equation 2:

[tex]\[3944 - b = 3080\][/tex]

Solving for [tex]\(b\)[/tex] :

[tex]\[b = 3944 - 3080\]\\b = 864\][/tex]

Finally, substituting the values of [tex]\(b\)[/tex] and [tex]\(c\)[/tex]  into equation 1:

[tex]\[700 + a = 3944 - 864\]\\700 + a = 3080\][/tex]

Solving for [tex]\(a\)[/tex]:

[tex]\[a = 3080 - 700\]\\a = 2380\][/tex]

So the solutions for the variables are [tex]\(a = 2380\), \(b = 864\), and \(c = 3080\)[/tex].

For such more question on equations

https://brainly.com/question/2972832

#SPJ12

What is the volume of the right square pyramid shown?

Answers

Answer:

C. 32 cm³

Step-by-step explanation:

[tex] {a}^{2}\frac{h}{3} = V[/tex]

[tex]({4})^{2}( \frac{6}{3}) = (16)(2) = 32[/tex]

a → length\base edge

I am joyous to assist you anytime.

Answer:

Step-by-step explanation: To find the area of the pyramid shown, we can first start by finding the area of the base. To find the area of the base, we can multiply the length by the width. Notice that both the length and the width of a square are equal so the area of a square will be equal to the length of a side multiplied by the length of a side.

Area = Length x Width = (side) (side)

Area = Side²

(4 cm²) = 16 cm².

Therefore, the area of the bases is 16 cm².

Now, let's finish the problem.

Image provided.

How many times larger is 400 than 4

Answers

Answer:

It's 100x bigger.

Step-by-step explanation:

I divided 400 by 4 and got 100.

To check the work, you multiply 100 by 4.

The number 400 is 100 times greater than 4 when we divide the number 400 by 4.

What is a fraction?

The fraction is defined as the division of the whole part into an equal number of parts. The fraction is defined as the representation of one number with respect to the other number. or one number is how many times the other number.

Given numbers are 400 and 4. To calculate the times divide the number 400 by 4. The division will be done as below:-

Divison = 400 / 4

Division = 100

Therefore, the number 400 is 100 times greater than 4.

To know more about fractions follow

brainly.com/question/17220365

#SPJ2

Solve the equation for y. yp+yn=x

Answers

This is tricky because it has a lot of variables, but we just have to treat this problem normally.

[tex]yp+yn=x[/tex]

separate y from p + n (feel free to check that you can do this by multiplying y out again and seeing that we have the same thing as before)

[tex]y(p+n)=x[/tex]

divide p + n on both sides

[tex]y = \frac{x}{p+n}[/tex]

Answer:

[tex]y = \frac{x}{p+n}[/tex]

To solve the equation yp + yn = x for y, factor out y to get y(p + n) = x, then divide both sides by (p + n) to isolate y, resulting in y = x / (p + n).

To solve the equation yp + yn = x for y, you need to factor y out of the left side of the equation.

This gives you y(p + n) = x.

To isolate y, you then divide both sides of the equation by (p + n), assuming p + n
eq 0, to get y = x / (p + n).

Estimate of sum 1.5 and 6.8

Answers

Answer: 8.3

Work:

Sum = Addition

So, 1.5+6.8=__

We know that 1+6= 7

And .5+.8= 1.3 (5+8=13 so 1.3)

And 1.3+7=8.3

Answer is 8.3

What is the slope of a line parallel to the line x = 5?

Answers

Answer:

Undefined

Step-by-step explanation:

The slope of a line parallel to the line x = 5 is undefined because the line would be a straight vertical line. Vertical lines don't have a slope because it is impossible to measure rise/run. Hope this helps!

7. Triangle RPQ is similar to triangle WPV. Find the missing length PW.

Answers

Answer:

PW = 11

Step-by-step explanation:

Given that the triangles are similar then the ratio of corresponding sides are equal, that is

[tex]\frac{RQ}{WV}[/tex] = [tex]\frac{RP}{PW}[/tex] ← substitute values

[tex]\frac{12}{6}[/tex] = [tex]\frac{22}{PW}[/tex] ( cross- multiply )

12PW = 132 ( divide both sides by 12 )

PW = 11

Other Questions
6y-5=11 what the answer Im having a hard time finding it List the following information in complete sentences:- artist- title of the artwork- the person/institute who commissioned it and why What is the answer to 9 - (-8) = Plant species A has a diploid chromosome number of 12. Plant species B has a diploid number of 16. A new species, C, arises as an allopolyploid from A and B. The diploid number for species C would probably bea. 14. b. 16. c. 28. d. 56. The Centers for Disease Control and Prevention Office on Smoking and health is the lead federal agency responsible for comrehensive tobacco prevention and control. OSH was established in 1965 to reduce the death and disease caused by tobacco use and exposure to secondhand smoke. One of the many responsibilites of the OSH is to collect data on tobacco use. The following data show the percentage of U.S. adults who were users of tobacco for a recent 11-year period. Year Percentages of Adults who smoke 1 22.8 2 22.5 3 21.6 4 20.9 5 20.9 6 20.8 7 19.8 8 20.6 9 20.6 10 19.3 11 18.9 a. Construct a time series plot. What type of pattern exists in the data? b. use simple linear regression to fidn the parameters for the line that minimizes MSE for this time series. c. One of OSH's goals is to cut the percntage of use adults who were users of tobacco to 12% or less within nine years of the last year of these data. Does yoru regression model from part b suggest that OSH is on target to meet this goal? if not use your model from part b to estimate the number of years that must pass after these data have been collected before OSH will achieve this goal. m LIANO O aSugiero que Alicia / no pedir ayuda a nadie, What might be a use for fluorescence in situ hybridization (FISH)?a. For identification of a specific gene in a DNA extraction by hybridization to a DNA probeb. For identification of a specific gene by hybridization to a DNA probe within live cells that have had their DNA denatured by heat.c. For identification of an mRNA within an RNA extraction by hybridization to a DNA probe.d. For identification of both mRNA and DNA in cellular extracts using an RNA probee. None of the above Problem Solving14. An online newspaper had350,080 visitors in October,350,489 visitors in November,and 305,939 visitors in December.What is the order of the monthsfrom greatest to least numberof visitors? The policyowner pays for her life insurance annually. Until now, she has collected a nontaxable dividend check each year. She has decided that she would rather use the dividends to help pay for her next premium. What option would allow her to do this? Which of the following events could decrease the cost of money? Check all that apply. (A) Inflation increases (B) The federal deficit decreases (C) The Federal Reserve purchases Treasury securities held by banks(D) The Federal Reserve sells Treasury securities to banks in the game of economics goods are objects that fulfill peoples needs and Which equation has (100, 100) as a solution?A.y = 0.1x 99B.y = x 100C.y = xD.y = x Which of these is an example of negative feedback? 1. As a blood clot begins to form, the process of its formation gets faster and faster. 2. After you eat, glucagon stimulates an increase in blood sugar levels. 3. After you eat, insulin stimulates the lowering of blood sugar levels. 4. The digestive enzyme pepsinogen is converted to pepsin by the action of hydrochloric acid; pepsin itself can then convert pepsinogen into pepsin. 5. Once labor begins, contractions increase in frequency and intensity If the recommended daily dose for vitamin C is 60 mg per day and there are 70 mg of vitamin C per 100 g of orange, how many 3 oz oranges are required to meet the weekly requirement? There are approximately 28.35 g in 1 oz. Round numeric answer to the nearest whole number. Q:- Short hair rabbit is goverened by a dominant gene (L)andlong hair by its recessive alleles (l). Black hair results fromtheaction of the dominant genotype (B) and brown from therecessivegenotype (b).A. In cross between dihybrid short ,black and homozygousshort,brown rabbits, what genotypic and phenotypic ratios areexpectedamong their progeny?B. Determine the expected genotypic and phenotypic ratiosinprogeny from cross LlBb*Llbb. My number has a tens digit that is 8 more than the ones digit. Zero is not one of my digits. Statements :For the statement #1, "e x is rational for some nonzero integer x.", write the negation of this statement. Is y = 0(x-4)2 + 3 a quadratic function? Explain? Axline Computers manufactures personal computers at two plants, one in Texas and the other in Hawaii. The Texas plant has 40 employees; the Hawaii plant has 20. A random sample of 10 employees is to be asked to fill out a benefits questionnaire.a. What is the probability that none of the employees in the sample work at the plant in Hawaii?b. What is the probability that one of the employees in the sample works at the plant in Hawaii?c. What is the probability that two or more of the employees in the sample work at the plant in Hawaii?d. What is the probability that nine of the employees in the sample work at the plant in Texas? If an elevator is to raise a 5000 lb a height of 30 ft in 320 seconds, what horsepower motor would be required?