The hypotenuse of an isosceles right triangle has length 4. How long is each leg?

Answers

Answer 1

Answer:

you know 2 sides are the same on an a silly triangle.. I mean isosceles.. so the hypotenuse will be longer but the other two sides are the same

use [tex]C^{2}[/tex] = [tex]A^{2}[/tex] + [tex]B^{2}[/tex]  ( Pythagoras theorem )

Step-by-step explanation:

[tex]4^{2}[/tex] = [tex]A^{2}[/tex] +[tex]A^{2}[/tex]  ( b/c the side are the same length the can both be called A )

16 = 2[tex]A^{2}[/tex]

8 = [tex]A^{2}[/tex]

[tex]\sqrt{8}[/tex] = A

not a whole number but.. it's still a good answer square root of 8 is about 2.8284 on my calculator


Related Questions

Which sign makes the statement true?

|–239.80| ? –257.51

Answers

Answer: greater than

Step-by-step explanation:

A positive is greater than a negative

Solve for x.

-x + 4 = 32

1. x = 36
2. x = 28
3. x = -28
4. x = -36

Answers

Answer:

x=-28

Step-by-step explanation:

-x+4=32

-x=32-4

-x=28

x= -28

Answer is x=-28 because 32-4 is 28 then you divide by -1 because you can’t have a -x so it’ll be -28

Evaluate y(-7) + 9x
When x = -6, y = 7

Answers

Answer:

-103

Step-by-step explanation:

Answer:  -103

Step-by-step explanation:

y=7 so 7x(-7)= -49 because a negative times a positive always equals a negative. Same thing for 9x. x=(-6) so 9x(-6)=-54.  So (-49)+(-54)= -103

An error was made in the solution of the equation. Identify the mistake. . 4 -2x = -2 +4 2x = 2 22 · 6 Your answer O This is a required question​

Answers

Answer:

3.54

Step-by-step explanation:

Simplify the expression:
9-22 + 4 x 5

Answers

Answer:

7

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

9-22+20

9-2

7

John is 6 feet 3 inches what is his height in centimeters

Answers

Answer:

190.5 centimeters

Step-by-step explanation:

I think it's that. Hope it's right! :)


Find the solution of this system of equations
4x - 2y = 0
-X - 2y = -25

Answers

Answer:

y = 25

X = 25/2 is the value of X an dy

Answer:

x=5

y=10

Step-by-step explanation:

4x-2y=0

-x-2y=-25

subtract

5x=0-(-25)

5x=25

x=25/5=5

-5-2y=-25

2y=-5+25

2y=20

y=20/2=10

2ax - 15 = 3(x + 5) + 5(x - 1) In the equation above, a is a constant. If no value of x satisfies the equation, what is the value of a ?
NEED EXPLANATION!​

Answers

Answer:

Step-by-step explanation:

Hello,

let s regroup the terms

2ax - 15 = 3(x + 5) + 5(x - 1) *** add 15 to both sides ***

<=> 2ax = 15 + 3x + 15 + 5x - 5 *** develop to remove the parentheses***

<=> 2ax = 8x + 25 *** simplify ***

<=> (2a-8)x = 25 *** subtract 8x from both sides ***

<=> (a-4)x=25/2 *** divide by 2 both sides ***

There is no solution is a-4 = 0 ,

because it would mean 0 = 25/2 and this is not possible

So it gives a = 4

Thanks

In the case when no value of x satisfies the equation so there the value of a should be 4.

Calculation of the value of a:

Since

the equation is  

2ax - 15 = 3(x + 5) + 5(x - 1)

2ax = 15 + 3x + 15 + 5x - 5

2ax = 8x + 25

(2a-8)x = 25

So a = 4

hence, In the case when no value of x satisfies the equation so there the value of a should be 4.

Learn more about an equation here https://brainly.com/question/22358515

-x + 3 = 2 ( x + 15 )

Answers

Answer:

x= -9

Step-by-step explanation:

-x+3=2(x+15)

-x+3=2x+30

-x-2x+3=30-3

-3x=30-3

-3x=27

x= -9

Maurice's shirt has five buttons that are vertically arranged and equally spaced. His shirt is shown in the photo below. The first and last buttons are 15.25 inches apart when measured from the top of the first button to the top of the last button. What is the distance, in inches, between the top two buttons on his shirt, from the top of one to the top of the other? Round your answer to the nearest tenth.

Answers

Answer:

The distance between the top two buttons on his shirt is 3.8 inches.

Step-by-step explanation:

Maurice's shirt has 5 buttons. Distance between first and last button is 15.25.

If we see, they would be arranged like

*

*

*

*

*

They are equally spaced between each button.

So, there are 4 equal spaces between the buttons.

Distance between each two consecutive buttons =[tex]\frac{15.25}{4}[/tex] =3.8125

So, distance between the top two buttons on his shirt is 3.8 inches.

Sadie works 5 more hours than Kerry does, and Mark works 2 hours less than Kerry. Together they work 120 hours. How many hours does each person work?

Answers

Answer:

Sadie:44 Kerry:39 mark:37

Step-by-step explanation:

(5+w) + w + (w-2)=120

-5 from both sides

w+w+(w-2)=115

+2 from both sides

w+w+w=117

117/3 = w

A flat screen tv at Best Buy costs $699 . The sales tax in Virginia is 5.3%. How much tax will you pay on the TV?

Answers

Answer:

736.05

Step-by-step explanation:699.00 x 5.3%=37.047

699.00 + 37.05 = 736.05

Answer:

$37.05

Step-by-step explanation:

$699 × 5.3%

We must convert 5.3% into just a decimal (not a percentage)

To do so, move the decimal to the left two places.

This would be 0.053

699 × 0.053 = 37.047

Although the exact number is 37.047, money is only paid within two decimals places, so let's round up to the nearest hundredth place

37.047 rounds up to 37.05

$37.05 is how much tax will be paid on the TV

Find the area of the geometric figure.

Answers

Answer:

area is 210 mi

Step-by-step explanation:

Answer:

210

Step-by-step explanation:

21 x 7 = 147

14 - 7 = 7

7 x 9 = 63

147 + 63 = 210

What is the equation of a line that is perpendicular to the line y = 2x + 4 and passes through the point (-2, 3)?

Answers

Answer:

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

Step-by-step explanation:

The given equation is written in slope-intercept form:

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

where:

m is the slopeb is the y-interceptx and y are the corresponding coordinate points (x,y)

The slope is 2:

When two lines are perpendicular, their slopes will be opposite reciprocals. Find the slope of the line perpendicular to the given equation:

[tex]m_{1}=2[/tex]

This can be seen as:

[tex]m_{1}=\frac{2}{1}[/tex]

Flip the fraction (reciprocal):

[tex]\frac{2}{1}[/tex] → [tex]\frac{1}{2}[/tex]

Now find the opposite:

[tex]\frac{1}{2}[/tex] → [tex]-\frac{1}{2}[/tex]

So the slope of the perpendicular line is:

[tex]m_{2}=-\frac{1}{2}[/tex]

Now make an equation written in point-slope form:

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

where:

m is the slope[tex]x_{1}[/tex] and [tex]y_{1}[/tex] are the corresponding coordinate points [tex](x_{1},y_{1})[/tex]

Insert information:

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

Simplify to slope-intercept form. Solve for y:

Use the distributive property:

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

Add 3 to both sides to isolate the variable:

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

:Done

Which is a graph of y = 3x - 1?

Answers

Step-by-step explanation:

it would have a slope of 3 and it would cross the y axis on -1

IF 48% of the students in a class are girls:
that percentage are boys?
Represent the percentage of boys as a fraction in it's lowest term

Answers

The percentage is 52% and the fraction is 13/25

SOMEONE HELPPP ASAP PLEASE I NEED THE SOLUTION TO BOTH OF THEM HELPP

Answers

Answer:

2. 17686.98

3. 1007.81

Step-by-step explanation:

Just add the numbers all together and there's your sum.

Angle R measures 47 degrees if the angle is rotated 180 degrees around the origin what is the angle of R?

Answers

Given parameters:

Measure of Angle R = 47°

Operation on the angle; rotated through 180°

Unknown:

what is angle R now= ?

Solution:

    Angle R was originally an acute angle which was 47°;

 And an additional 180° rotation will produce;

  New Angle R  = 47 + 180 = 227°

The new dimension of the angle is 227°

x + 3 = 10 , then the value of x is

Answers

Answer:

7

Step-by-step explanation:

Because 7+3= 10, Please tell me if my answer is wrong

Answer: 7

Explanation:

Because 7+3=10

COILD SOMEONE DO THIS PROBLEM FOR PLEASE!! LOOK AT THE IMAGE ABOVE! Show full work pls it’s due today

Answers

9514 1404 393

Answer:

  c.  x = 1

Step-by-step explanation:

c. The Pythagorean theorem applies. The square of the hypotenuse is the sum of the squares of the other two sides.

  2² = x² +(√3)²

  4 = x² +3

  1 = x² . . . . . . subtract 3

  1 = x . . . . . . . take the square root

x/2-14=-20 I tried on this one but I failed.

Answers

Answer: I’m not going to tell u the answer hrhrhehehehehehrhehsnheaj

Step-by-step explanation:

-34 answer

Answer:

people are saying its wrong but heres from another source lol

Step-by-step explanation:

source - GetEasySolution.com

1. what is the distributive property of 8×59. 2.what is the distributive property of 9×84. 3. what is the distributive property of 6×78 4. what is the distributive property of 7×96​

Answers

1.8x59 is 472
8(59)

2.9x84 is 756
9(84)

3.6x78 is 468
6(78)

4.7x96 is 672
7(96)
You look it up on google and that should help

I need the expression that represents the length of the pool

Answers

Answer:

2) 41-2x

Step-by-step explanation:

41-2x

A printing company needs to ship 7,000 team calendars to the city's basketball team.
The printing company can fit 700 calendars in each box. How many boxes will the printing company need to use?

Answers

Answer:

10

Step-by-step explanation:

Which One Don’t Lie!!!

Answers

Answer:

y=2x

Step-by-step explanation:

what is 20% of 170,000,000

Answers

Answer:

34000000

Step-by-step explanation:

Answer:

34000000

Step-by-step explanation:

170000000*20%

=34000000

What is the distance in the map (in centimeters) represents an actual distance of 4 kilometers?

Answers

Answer:

400k four hundred thousand centimeters is 4 kilometers

The number line below represents which combined inequality? (10 points)

number line with a closed circle on negative 6 and 5 with shading in between

x greater than or equal to −6 or x less than or equal to 5
x greater than or equal to −6 and x less than or equal to 5
x less than or equal to −6 and x greater than or equal to 5
x less than or equal to −6 or x greater than or equal to 5

Answers

Answer:

x is greater than or equal to −6 and x less than or equal to 5 (second option).

Step-by-step explanation:

This would be written as an "and" inequality; -6[tex]\leq[/tex]x[tex]\leq[/tex]5. Because the circle is closed on the number line, x is greater than or equal to −6 and x less than or equal to 5, and that's pretty much the answer!

Hope this helps!!!! Have an awesome day :3

Write (150 ^ 3) ^ 7 using a single exponent

Answers

Answer:

4.9878851e+45

Step-by-step explanation:

Gregoria borrowed $2,450, to be paid back at 3.5% simple interest. She repays $3221.75. How many years was the loan period?

Answers

Answer:

90.7yrs.  

Step-by-step explanation:

Given parameters:

Amount borrowed  = $2450

Interest rate  = 3.5%

Amount repaid = $3221.75

Unknown:

Number of years the load was paid  = ?

Solution:

The formula of simple interest;

    I = PRT

Where I is the interest

           P is the principal

          R is the rate

          T is the time

  To find the interest;

    Interest = Amount paid back - loan  = 3221.75 - 2450  = 771.75

Now;

     P = IRT

     2450  = 771.75 x [tex]\frac{3.5}{100}[/tex]  x T

     2450 = [tex]\frac{2701.25T}{100}[/tex]

    T = [tex]\frac{245000}{2701.125}[/tex]   = 90.7yrs

The number of years of the loan period was 90.7yrs.  

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