The hypotenuse of an isosceles right triangle is 4cm longer than either of its legs note that an isosceles right triangle is a right triangle who’s legs are the same length find the exact length of its legs and it’s hypotenuse

Legs ? Cm
Hypotenuse? Cm

Answers

Answer 1

Answer:

Step-by-step explanation:

let the side of triangle=x

hypotenuse=x+4

(x+4)^2=x^2+x^2

x^2+8x+16=2x^2

x^2-8x-16=0

x²-8x=16

x²-8x+16=16+16=32

(x-4)²=16×2=(4√2)²

x-4=±4√2

x=4±4√2

either x=4+4√2=4(1+√2)

or x=4-4√2=-4(√2-1)<0 (rejected)

leg x=4(1+√2)≈4(1+1.414)≈4×2.414≈8.828≈8.83 cm

hypotenuse≈8.83+4=12.83 cm


Related Questions

12
Fill in the blank: What's the length of the missing
side?
Ilype your answer

Answers

Answer:

13

Step-by-step explanation:

Using Pythagoras Theorem:

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

Substitute values of a and b:

[tex]5^2+12^2=25+144=169[/tex]

[tex]c^2=169\\c=13[/tex]

The length of the missing side is 13.

Help with this one please

Answers

[tex]\huge \bf༆ Answer ༄[/tex]

The Translation can be expressed as : -

A Translation -

up 3 units and left 4 units

[tex]꧁  \:  \large \frak{Eternal \:  Being } \: ꧂[/tex]

Find the distance between the points (–1∕2,–8) and (–1∕2,–2). Question 11 options: A) 6 B) 1∕2 C) 8 D) 10

Answers

The answer is option D, 10. By using the distance formula this is what you should get.

Check the picture below.

The speed of an object is the ratio of its distance traveled to time. If the speed of a bicycle is 4.5 meters per second, what is the distance traveled in 9 seconds?

Answers

Answer:

Step-by-step explanation:

9(4.5) = 40.5 m

Which of the following correctly factors the expression −20x+4y−2?


A

4(−5x+4y+2)


B

2(−10x+2y−1)


C

−2(10x+2y+1)


D

−20(x−4y+2)

Answers

9514 1404 393

Answer:

  B  2(−10x+2y−1)

Step-by-step explanation:

The greatest common factor is 2. Factoring that out gives the factorization shown in choice B.

  2(-10x +2y -1)

__

You could factor out -2. Doing that would give ...

  -2(10x -2y +1) . . . . . . . doesn't match choice C

someone please answer this I'll mark u as the brainest please anyone it's hard for me. ​

Answers

Answer: D

Step-by-step explanation:

Since it is subtracting x from 20. D tells the change from 20 dollars after buying the notebook or x.

A is 20 + x

B is 20/x

C is 20x or 20 * x

D is 20 - x

Answer:

B

Step-by-step explanation:

you can see the words cut and smaller so that indicates subtraction

The pair of points (-4, y) and (5, 7) lie on a line with slope 1/3. What is the value of y? You must show all of your work to receive credit

Answers

Answer:

4

Step-by-step explanation:

[tex]slope = \frac{y - 7}{ - 4 - 5} = \frac{1}{3} [/tex]

y-7=-3, then y=4

Find the number of integers between 1 and 1000 that are divisible by 12 or 15, but not by both 12 and 15.

Answers

Count the multiples of 12:

⌊1000/12⌋ = 83

(where ⌊x⌋ denotes the "floor" of x, or the largest integer that is less than or equal to x)

These are the integers

{12, 24, 36, 48, …, 996}

Count the multiples of 15:

⌊1000/15⌋ = 66

These are

{15, 30, 45, 60, …, 990}

Count the multiples of both 12 and 15; these are multiples of LCM(12, 15) = 60:

⌊1000/60⌋ = 16

These are

{60, 120, 180, 240, …, 960}

Now use the inclusion/exclusion principle to count the multiples of either 12 or 15, but not both:

83 + 66 - 2•16 = 117

Among the multiples of 12 and the multiples of 15, we count the numbers that are multiples of both 12 and 15. By subtracting the number of multiples of both (16), we get the count of integers that are either divisible by 12 or 15. We subract 16 again to remove those that are divisible by both 12 and 15.

Find the half-life, in days, of Co-60. Round your
answer to the nearest tenth.
Cobalt-60 is used in the treament of
cancer. A sample contains 8 grams of Co-
60 where k = 0.1308.
Enter the correct answer.
N = Noe -kt
DONE
No = initial mass (at time t = 0)
DOO
(อ
N = mass at time t
k = a positive constant that depends on
the substance itself and on the units
used to measure time
t = time, in days

Answers

Answer:5.3

Step-by-step explanation:

Why

Divide both sides by 8

4=8e ^-0.1308t

0.5=e^-0.1308t

Take log of both sides

In0.5=Ine^-0.1308t

Apply In e^x=x

In0.5=-0.1308

Divide both sides by -0.1308 to solve for t

t=5.3

Which is the verbal expression for 11 - 2/n?


Answers

Answer:

(a.)

Step-by-step explanation:

(we talked abt it in the comment haah)

Kevin buys a bag of cookies that contains 8 chocolate chip cookies, 9 peanut butter cookies, 5 sugar cookies and 4 oatmeal cookies. What is the probability that Kevin randomly selects a chocolate chip cookie from the bag, eats it, then randomly selects an oatmeal cookie

Answers

Answer:

4/13 or 30.769%

Step-by-step explanation:

How much time will it take Wilson to finish painting the bookcase? Explain.

Answers

He will take 50 minutes.
To complete it’ll be 100%.
So if you multiple 20 times 2 it’ll give you 40…which will now have you at 80% So you need 20% left which is half of 40% to complete the 100% which will be half of 20 which is 10. Then you add to the 40 you alr have which sum up to 50min total!!!

Savanna have 40 iris blooms last year this year she had 50% more iris blooms how many more iris blooms did savanna have this year

Answers

Answer:

6

Step-by-step explanation:

50% = 0.50
40 x 0.50 = 20
40 + 20 = 60
Savanna has 69 blooms this year.

Please if possible just include the answer not a link to the answer I can’t access them

Answers

Answer:

92%, because there is an 8% chance of landing on yellow.

Solve 4x-4 < 7x - 19

Answers

Answer:

x<5

Step-by-step explanation:

cuz im a methnerd l

Answer:X>5

Step-by-step explanation:

Help pls ASAP plssss

Answers

Answer:

y=2x-1

Step-by-step explanation:

The y-intercept is -1

The slope is 2

may's dog weighed 16kg. the dog lost 800g after it fell ill.

Answers

Answer:

15200g

Step-by-step explanation:

Hope the Dog gets better XD

Answer: 15,200

Step-by-step explanation: First you have to convert kilograms to grams. You have to multiply kilograms by 1,000 to get grams. 16kg*1,000=16,000. Then do this 16,000-800=15,200

Help ASAP PLEASSEEEEE for 30 points

Answers

First picture:

5). 343

Second Picture:

1). 89

2). -26

3). 20

4). 62

Third Picture:

Equation 1: Associative

Equation 2: Commutative

Equation 3: Associative

Equation 4: Distributive

Equation 5: Commutative

Equation 6: Associative

Last Picture:

1). B).

2). C).

Please mark Brainleist

Find the greatest value of -10+14X-2X^2 and state the value of X at which it occurs

Answers

Answer:

Step-by-step explanation:

a maximum or minimum occurs where the derivative equals zero

f(x) = -2x² + 14x - 10

f'(x) = -4x + 14

0 = -4x + 14

4x = 14

x = 3.5

f(3.5) = -2(3.5)² + 14(3.5) - 10 = 14.5

PLEASE ANSWER THESE ASAP WITHIN THIS HOUR!
80 is what percent of 400?
a. Base
b. Rate
c. Percentage

16% of what number is 56?
a. Base
b. Rate
c. Percentage

16% of what number is 56?
a. Base
b. Rate
c. Percentage
Thank you for your help <33

Answers

Answer:

♦ 80 is what percent of 400?

a. Base

b. Rate

c. Percentage

Answer: b. Rate

Solution:-

80 = x% of 400x% × 400 = 80x/100 × 400 = 804x = 80x = 80/4x = 20

80 is 20% of 400 ( the rate is the percent)

♦ 16% of what number is 56?

a. Base

b. Rate

c. Percentage

Answer: a. Base

Solution:-

16% of x = 5616/100 × x = 5616x/100 = 5616x = 56 × 100x = 5600/16x = 350

16% of 350 is 56 (The base is the amount which you're taking a percent of)

Musa had 3/ 5 ton of grain for all the animals on his large farm. He used 1 /20 ton each day to feed all his animals. How many days was it until Musa needed more grain?

Answers

Answer:

12 days

Step-by-step explanation:

'd' = number of days

1/20d ≤ 3/5

multiply each side by 20 to get:

d ≤ 60/5 or d ≤ 12

Hai has 1 gallon jug of water. He drinks 1/8 gallons of water before lunch and 2/3 gallons of water after lunch. How much water did Hai drink all day?​

Answers

Hai drank 10/16 gallons of water all day

Hai drink 11/24 gallons of water in all day

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Given,

Hai has 1 gallon jug of water.

Drinks 1/8 gallons of water before lunch

2/3 gallons of water after lunch.

We need to find how much water did Hai drink all day.

Now we have to add the water he drink.

1/8+2/3

LCM of 8 and 3

3+8/24

11/24

Hence, he drink 11/24 gallons of water in all day.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ2

7.
"iş, oluş, durum bildiren köklere fiil kökü denir. Fill
kökleri -mek / -mak mastar eki ile anlamlı şekilde
söylenir."
Açıklamaya göre verilen sözcüklerden hangisi-
nin kökü fiil değildir?
A) evim
B) seçim
C) giyim
D) verim

Answers

Answer:

ABWJRIRISBDBDBHSHS

Step-by-step explanation:

Hatdog HWHWHWHSHSHSQIWIW

I don’t understand any of the below. Can you please help?

-25 + (-12)
14 - (-20)
-4 + (-10)

Answers

-25+(-12)=-37
14-(-20)=34
-4+(-10)=-14

Answer:

1. -37

2. -34

3. -14

Step-by-step explanation:

1. -25 then ++- is negative so -25-12 so add them becuase negative + negative adds  then keep the negative sign. THIS HELPS WITH EVERYTHINGB

Use the graph below to answer the question. On a coordinate plane, a line goes through (0, 0) and (3, negative 3). What is the slope of a line that is perpendicular to the line in the graph?

Answers

Answer:

y = x

Step-by-step explanation:

So 1st we need to find the slope of the original line which is y = -x

(use slope formula)

2nd Now we just need to reverse the slope, and that gets us to y = x

Answer: 6

its obvious  

hello! i am doing a practice test for school & i need some help.

Answers

Answer:

C IS YOUR ANSWER ,,,,,,,,,,,,,,TICK THAT ANSWER

sole the inequality x-8>-4

Answers

Answer:

[tex]x>4[/tex]

Based on this, we know the correct number line will be an empty bubble with a line going to the right of 4.

Step-by-step explanation:

[tex]x-8>-4[/tex]

add 8 to both sides of the inequality

[tex]x>4[/tex]

7<2m-23 what is the answer if someone knows

Answers

Answer:

the answer is m > 15.

hope this helps!

help pls anyone? pls​

Answers

Now girl or boy … you don’t own a calculator? That’s easy !

Simplify the following expression
3x + 2(x +6) -4 -2x

A. 3x + 2
B. 7x + 8
C. 3x + 8
D.7x + 10

Answers

Answer:

C

Step-by-step explanation:

3x+2(x+6)-4-2x.

First, we do the parenthesis.

This gives us: 3x+2x+12-4-2x.

Then, we reorder so like terms are together.

This gives us: 3x+2x-2x+12-4.

Then, we combine like terms.

This gives us: 3x+8, which is C.

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