A right triangle has hypotenuse with length 8 inches. If one leg is 5 inches long, how long is the other leg?

Answers

Answer 1

Using Pythagoras theorem,

[tex]\sf a^2 + b^2 = c^2[/tex]

Where [tex]\sf a[/tex] and [tex]\sf b[/tex] are the two legs of the triangle, and [tex]\sf c[/tex] is the Hypotenuse.

Putting the given values:

[tex]\sf 5^2 + b^2 = 8^2 \\ \longrightarrow \sf b^2 = 64 - 25 \\ \longrightarrow \sf b^2 = 39 \\ \longrightarrow \sf b = \sqrt{39}\:\:inches[/tex]

Hence, the length of the other leg is,

[tex]\leadsto \underline{\boxed{\mathfrak{\pink{\sqrt{39}\:\:inches}}}}[/tex]


Related Questions

If a+b>a−b, which of the following must be true?
(A) a>b
(B) a=b
(C) a 0
(E) b > 0

Answers

Hi

a+b > a-b

<=> a+b-a = b > a-b-a=-b ** subtract a **

<=> b+b > 0 ** add b **

<=> 2b > 0 ** divide by 2 **

<=> b > 0

so (E) is the right answer

Thanks

If the box holds 24 of these sugar cubes, what is
the total volume of the box?

Answers

Answer:

3in^cubed

Step-by-step explanation:

Answer:

3in cubed

Step-by-step explanation:

3.12 in standard form

Answers

3.12 × 104. 3.12E4 = 3.12 × 10 × 10 × 10 × 10 = 31,200 ...
ExampleEnter Number: Scientific Notation: 3.12 × 10^0
Now try to use Scientific Notation yourself:

Scientific Notation: 3.1416 x 10^2
answer : 314.16

Can someone please help me, ty!! (Will mark brainliest)

Answers

the third one is the correct answe

Juice A cost 0.10 cent more per ounce than juice B. 12 ounce juice A cost $5.64 total. How much per ounce juice B cost

Answers

Answer:

5.64/12= .47 but that box cost 10cents more than box B so you then you subtract .10 and get .37 per ounce for box B

In a diamond problem solver what is 3.25 and 4 I need help ASAP

Answers

Answer:12 I believe

Step-by-step explanation:

Every chord is NOT diameter. But every diameter is a chord.” Do you agree or disagree with the statement? Justify.

Answers

Answer:

Yes

Step-by-step explanation:

The chord is a diameter only if it passes through the center of the circle. And a diameter is a chord because it goes from on point on the circle to another in a straight line.

Which table of ordered pairs represents a proportional relationship?

Answers

Answer:

C

Step-by-step explanation:

The points in C, when graphed, have a positive slope as well as going up or down by the same amount each time

-3-2=-5-2=-7

5-2=3-2=1

-4 1/2-(-2 2/3) step by step pls help if someone dosen`t answer i might fail pls if you do i will cashapp you 100 bucks just leave your cashapp in the answer

Answers

Answer:

you can use a calculator ( keep your money )

Step-by-step explanation:

For the function f(x)=x2−8x+8, use f(x)=−4 to find two points on the graph of the function.

Answers

Answer:

56

Step-by-step explanation:

f (-4)=(-4^2)-8 (-4)+8

f(-4)=54

The two points on the graph of the function are (2, -4) and (6, -4).

What is a quadratic function?

A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function. In other terms, a "polynomial function of degree 2" is a quadratic function.

Given:

A quadratic function,

f(x) = x²−8x+8.

When f(x) = -4

That means,

quadratic equation,

x²−8x+8 = -4

x²−8x+12 = 0

x²−6x -2x + 12 = 0

x(x - 6) - 2(x - 6) = 0

x = 2 and x = 6

Therefore, the two points are (2, -4) and (6, -4).

To learn more about the quadratic function;

https://brainly.com/question/11485644

#SPJ2


In AIJK, i = 850 inches, j = 250 inches and ZK=80°. Find the length of k, to the
nearest inch

Answers

Answer:

843

Step-by-step explanation:

Nick says that the number 751 rounded to the nearest hundred is 750.
Explain Nicks error and the correct way to round to the nearest hundred. Find the correct rounded number.

Answers

Answer:

800

Step-by-step explanation:

he probably didn't label the numbers from ones to hundred or maybe he rounded off to the nearest 50 Ct maybe

Which type of data is most appropriate to display in the data below

Answers

Please show us the picture before you ask the question

At its highest​ point, the elevation of a county is feet above sea level. At its lowest​ point, the elevation of the county is feet below sea level. Answer parts a through c.

Answers

Answer: There is no photo, I cannot see

3+(-h)+(-4)where h = -7.

Answers

Answer:

6

Step-by-step explanation:

3+(-h)+(-4)

Let h = -7

3+(- -7)+(-4)

3+(7)+(-4)

10 -4

6

You deposit $800 in an account that earns simple interest at an annual rate of 5%. How many years must you leave the money in the account to earn $100 in interest?
Answer value

Answers

Answer:

yduhegeggegeheygegeveheyegeveheuegeveve

Step-by-step explanation:

your very welcome

Which expression represents the phrase: “3 fewer than a number, p”? *
a) 3 – p
b) p / 3
c) 3 / p
d) p – 3
Explain pls and ty < 3

Answers

d) p - 3

3 fewer than menas you need to subtract 3

The expression represents the phrase “3 fewer than a number, p” is (p-3).

Given

Expression;  the phrase: “3 fewer than a number, p

What is the phrase?

A small group of words standing together as a conceptual unit, typically forming a component of a clause:

The given number is p which is smaller than a number which is 3.

Expression;  the phrase: “3 fewer than a number, p”

Then,

The expression represents the phrase is;

[tex]\rm =P-3[/tex]

Hence, the expression represents the phrase “3 fewer than a number, p” is (p-3).

To know more about the Phrase click the link given below.

https://brainly.com/question/13125617

Write the expanded form of the expression.
y(0.75+4)​

Answers

Answer:

25

Step-by-step explanation:

Answer:4.75y

Step-by-step explanation:

What is the greatest integer? [In picture]

Answers

25 because -50 is negative

Lisa paid 45.30 for 15.9 gallons of gasoline.what was the cost per gallon, rounded to the nearest hundreath

Answers

Answer:

About $2.85 per gallon

Step-by-step explanation:

We can set up a proportion [tex]\frac{45.3}{15.9}[/tex]=[tex]\frac{x}{1}[/tex] we can then cross multiply, getting 15.9x=45.3. When you divide you get about $2.85

Is 6.35 greater than 6.7

Answers

Answer:

NO

Step-by-step explanation:

always look at the number after point

Answer:

No

Step-by-step explanation:

Find the slope, m of the line that passes through the points (-1, 6) and (3, 8).
Enter your answer as a fraction in simplest form in the box.
m =

Answers

Answer: m = ½

.........................

Answer:

The answer is -1/2

Step-by-step explanation:

The equation for slope is rise over run (change in y divided by change in x). Therefore, it would be 2/-4. This simplifies to -1/2

15/4 divided by -5/8

Answers

Answer:

-6

Step-by-step explanation:

Answer:

-6/1 or just -6

Step-by-step explanation:

15/4 ÷ (-5/8) is -6/1 .

Find the reciprocal of the divisor

Reciprocal of (-5/8) : (-8/5)

Now, multiply it with the dividend

So, 15/4 ÷ (-5/8) = 15/4 × (-8/5)

= 15 × (-8)  = -120

   4 × (-5)   =  -20

After reducing the fraction, the answer is -6/1 or just -6.

1.5 lbs of gum balls I want to buy it’s 3.99 per pound

Answers

Answer:

$5.99 for 1.5 lbs of gumballs

Step-by-step explanation:

You want to buy One and a half pounds of gumballs for $3.99 per pound. It is 3.99 for one pound of gumballs, so the price for half a pound of gumballs is half of that price.

3.99 / 2 = 1.995

Then add the price of 1 pound

3.99 + 1.995 = 5.985

Then you can round that up to 5.99

You have 1240 acres of land, and each acre is worth $52. How much is your land worth in total?

Answers

If one acre is $52, you would multiply 1240 by 52. Your land in total is worth $64,480.

Answer:

$64,480.

Step-by-step explanation:

el largo del parque que esta cerca de tu casa mide el doble del ancho. el terreno tiene 1250m2 de area ¿cuanto es el ancho y cuánto mide de largo?

Ayúdenme plis :c

Answers

Answer:

ninguna pista

Step-by-step explanation:

eso es muy duro lo siento

3. What is the value of 42 – 2(3 • 5+ 1)?

Answers

Answer:

10

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Multiply the numbers

42−2(15+1)

Add the numbers

42−2(16)

Multiply the numbers

42−32

Subtract the numbers

10

Simplify y + (15 + y)

Answers

Answer:

2y + 15

I hope this helps!

Remove the parenthesis:

y+15+y

Group like terms:

y+y+15

Add similar elements:

2y+15

What is the equivalent of 7(7q+5)

Answers

Answer:

14q + 35

Step-by-step explanation:

Step 1: Write expression

7(7q + 5)

Step 2: Distribute 7 to each term

14q + 35

The length of a rectangular garden is 9 feet longer than its width. If the garden' perimeter is 210 feet, what is the area of the garden in square feet?​

Answers

Answer:

2736 square feet

Step-by-step explanation:210 minus 18(9 times 2 )equals 192 then 192 divided by 4 (4 because 4 side )equals 48 (48 is the width) to get the length 48 plus 9 equals 57 (57 is the length) to  get the area multiply length times width so 57 times 48 equals 2736 square feet

Other Questions
Rise:How do the empires of Ghana,Mali, and Songhai compare?Rise: Contributions:Trade goods/natural resources:Social structure:Decline/fall: ObservationInference: Aa person.EducationempowersEl aberate this statementgiving examples of yourpersonal experience In 2008 the Better Business Bureau settled 75% of complaints they received (USA Today, March 2, 2009). Suppose you have been hired by the Better Business Bureau to investigate the complaints they received this year involving new car dealers. You plan to select a sample of new car dealer complaints to estimate the proportion of complaints the Better Business Bureau is able to settle. Assume the population proportion of complaints settled for new car dealers is .75, the same as the overall proportion of complaints settled in 2008a. Suppose you select a sample of 450 complaints involving new car dealers. Show the sampling distribution of . b. Based upon a sample of 450 complaints, what is the probability that the sample proportion will be within .04 of the population proportion? c. Suppose you select a sample of 200 complaints involving new car dealers. Show the sampling distribution of . d. Based upon the smaller sample of only 200 complaints, what is the probability that the sample proportion will be within .04 of the population proportion? e. As measured by the increase in probability, how much do you gain in precision by taking the larger sample in part (b)? 0.325x10^-2 is this a scientific notation, explain your answer, write the number in standard notation If a tennis court is 24 meters long, what is the approximate length in yards? Help ASAPFind the sum (-3x + 7) + (2x - 5). If the president of the U.S. is making an important speech at 6 p.m. in Washington, D.C., what time would people in Anchorage, Alaska, tune in to watch it live?please help im so confuseddddd NEED HELP GIVING 15 POINTSChoose the one problem that has NOT been done correctly. Start your response with the number you choose and explain the mistake that was made in the problem. plz help i beg, veryyy confused :) 1. What do you think Carnegie means by "the problem of the Rich and the Poor"? Cindy and Victoria completed 8/9 of their job in a day. Cindy has done 1/9 of the work. How much of the work was done by Victoria? the scale factor for the triangles below is 3 2.54 mL of ethanol to mol ethanol (Hint: the density of ethanol is 0.789g/mL.) To what extent do we as humans have control over nature? Do you feel obligated to do your part to protect the environment, or at least refrain from causing damage? "choosing warning label for DNA" Which graph best describes the following situation?Matt was standing 3 feet from the edge of the pool. He walked away from the pool for 4 seconds. Then he was12 feet away from the edge of the pool. Could someone help me with number 17. Contact forces & friction. Please help!!! (20 points & brainliest!) Read the paragraph from "The Workers of Ellis Island."Ellis Island doctors were particularly watching for signs of contagious diseases. Incurable diseases included trachoma and tuberculosis and guaranteed a return trip to where the immigrant came from. Others, like diphtheria, measles and scarlet fever, for example, relegated the immigrant to the contagious disease wards where they were generally treated, cured and released. Sometimes the entire family was held on the Island while a child or responsible adult was being treated.Which sentence best represents the paragraph's central idea?Ellis Island doctors were particularly watching for signs of contagious diseases.Incurable diseases included trachoma and tuberculosis and guaranteed a return trip to where the immigrant came from. Others, like diphtheria, measles and scarlet fever, for example, relegated immigrants to the contagious disease wards where they were generally treated, cured and released. Sometimes the entire family was held on the Island while a child or responsible adult was being treated. Where did the Hyksos come from?