Find the length of the third side. If necessary, write in simplest radical form.

Find The Length Of The Third Side. If Necessary, Write In Simplest Radical Form.

Answers

Answer 1

Answer:

third side = 6

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.

let the third side be x , then

x² + 4² = (2[tex]\sqrt{13}[/tex] )²

x² + 16 = 52 ( subtract 16 from both sides )

x² = 36 ( take square root of both sides )

x = [tex]\sqrt{36}[/tex] = 6


Related Questions

How many whole groups can you fit into 51?

Answers

Step-by-step explanation:

in one group 17members

in second group 17members

in third group 17members

Hope it helps ohh God! please make your question a little easier so the other person can understand what you mean to say/ask when we read.

Giovanni can read 100 words per minute. If there are approximately 400 words on a page, about how many pages can he read in 2 hours?

Answers

Answer:

Step-by-step explanation: she can read 15  pages an hour but she read for 2 hours so she read 30 pages

Note: Your teacher will grade your response to this question to ensure you receive proper credit for your answer. 16. A triangle has side lengths of 6, 8, and 10. Is it a right triangle? Explain.​

Answers

Answer:

yes

Step-by-step explanation:

6^2+8^2=10^2

following the pythagoras theorem this triangle is right triangle

Jessie typed the first 300 words of her essay in 12 minutes. Then she got tired and
typed the remaining 300 words in 15 minutes. What was the average speed of Jessie's
typing?

Answers

Answer:

whats 12x15

Step-by-step explanation:

Answer:

22.5

Step-by-step explanation:

300/12 = 25

300/15 = 20

25 and 20 average = 22.5

The figure shows three parallelograms: ABCD, A'BCD, and A"B"C"D".
Polygon ABCD is ___ to create parrellogram A’B’C’ D’
Polygon ABCD is ___
to create parallelogram A’’B'’C'’D".

A. reflected off y axis
B. rotated 90 degrees clockwise without origin
C. reflected across x- axis
D. rotated 270 degrees clockwise about the origin.

Answers

Answer:

First blank: B and C

Second blank: D and A

Step-by-step explanation:

Answer:
-Polygon ABCD is
rotated 270 degrees clockwise about the origin to create parallelogram A'B'C'C'.

-Polygon ABCD is
rotated 90 degrees clockwise about the origin to create parallelogram A"B"C"C".

which of the following lines has a negative slope?
Red or Black,Blue

Answers

Answer:

black <3

Step-by-step explanation:

can someone please help me!! this assignment is due at 11:59 I need this done

Answers

Answer:

X~~21.98

Step-by-step explanation:

We use tangent here, as we have opposite and adjacent sides. (tan = opp/adj)

tan (20) = 8/x. Using a calculator, we get x is about 21.98

Hello! I have a project where I invite 5 people to a “dinner party” to school. I want to invite a girl named Jaci Butler. Jaci Butler is her own agent in the singing industry. I found her address and want to send her a mail. Does this count as stalking? If you were Jaci butler, what would you think I’m a stalker? If you were her, would you come?

Answers

Answer:

I will it was a stalker too because I don't know him/her and I wouldn't come to the house of a stranger on me

How to get y intercept from 2 points.

Answers

Step-by-step explanation:

What I don "t" undesrtand

your problem for The

mathematics

Examine the table, which represents a linear function.
What is the rate of change of the function?
Input (x) Output (y)
-5 18
−3 23
−1 28
1 33

Answers

Answer:

I believe it should be 3 23

Answer:

  2.5

Step-by-step explanation:

The rate of change can be found from the slope formula.

  m = (y2 -y1)/(x2 -x1)

Using the first two lines of the table, we find ...

  m = (23 -18)/(-3 -(-5)) = 5/2

The rate of change of the function is 5/2 = 2.5.

Help
I need help with this part

Answers

Answer:

[tex]3)y = kx \\ 4)y = kx \\ 5)y = - kx[/tex]

pls help i was to turn this by tomorrow

Answers

Answer:

a d

Step-by-step explanation:

HELP AGAIN PLSSSSSSS

Answers

Answer:

didn't you already do it? im confused

Step-by-step explanation:

simplify 12b+4b^2-10b

Answers

Answer:

4 b 2 + 2 b

Step-by-step explanation:   hope it helps

Which product is negative?

−2⋅(−4)⋅8⋅(−1)

−7⋅(−3)⋅(−5)⋅(−8)

−3⋅(−4)⋅(−9)⋅0

6⋅(−2)⋅(−3)⋅1

Answers

[tex]-2(-4)\cdot 8 (-1)\\\\=8 \cdot (-8)\\\\=-64\\\\\text{This one is negative.}[/tex]

if a sprinkler waters 1/14 of a lawn in 1/2 an hour, how much time it will take to water the entire lawn

Answers

1/14 in 30 mins
30 mins x 14=420 mins
420 mins in hours =7 hours

Question 4 options:
The area of a rectangle is 65 square inches.

The length is x + 5, and the width is x – 3.

Find the value of x, and the dimensions of the rectangle.

A=lw

Answers

I. The value of x is equal to 8.

II. The dimensions of the rectangle are 13 and 5 inches respectively.

Given the following data:

Area of a rectangle = 65 square inches.Length of rectangle = x + 5 inchesWidth of rectangle = x - 3 inches

To find the value of x, and the dimensions of the rectangle:

Mathematically, the area of a rectangle is given by the formula:

[tex]A = LW[/tex]

Substituting the values, we have:

[tex]65 = (x+5)(x-3)\\\\65=x^2-3x+5x-15\\\\65=x^2+2x-15-65\\\\x^2 +2x-80=0\\\\x^2 +10x-8x-80=0\\\\x(x+10)-8(x+10)=0\\\\(x-8)(x+10)=0[/tex]

x = 8 or x = -10

For the length:

when x = 8

[tex]Length = 8 +5[/tex]

Length = 13 inches.

For the width:

when x = 8

[tex]Length = 8 -3[/tex]

Length = 5 inches.

Find more information: https://brainly.com/question/11037225

What is a negative control.

Answers

Answer:

Negative controls are particular samples included in the experiment that are treated the same as all the other samples but are not expected to change due to any variable in the experiment.

Step-by-step explanation:

if r*s= sr then 3*2=

Answers

Using the comparison given in the question, the value of 3*2 = 23

From the question given :

We can set up a comparison thus :

r*s = sr

Here,

3*2

r = 3 ; s = 2 r = first value in the expression s = second value in the expression

r*s = sr

Then

3*2 = 23

Therefore, the value of 3*2 = 23

Learn more : https://brainly.com/question/25775672

What is the height, x, of the equilateral triangle?

Answers

Answer:

D: [tex]4\sqrt3[/tex]

Step-by-step explanation:

Draw the height. You notice you have split the triangle in two right triangles of sides 8 (the hypotenuse), 4 (half the horizontal side) and x. Let's apply Pythagorean theorem to the triangle: [tex]8^2 = 4^2+x^2 \rightarrow 64=16+x^2 \rightarrow x^2= 48 = 4^2\times3\\x= \sqrt48 = 4\sqrt3[/tex]

please help i don't know how to do this

Answers

Step-by-step explanation:

y = (x - 4)/x = x/x - 4/x = 1 - 4/x

c = 1

r = -4

done ...

100 IF U GET THIS RIGHT!

Answers

Answer:

Feeling like an addict that ain't had it, up and at it in a minute

If it hadn't been invented, my limit wouldn't be infinite

I'm feeling like an infant in a womb

I'ma be here 'til the tomb

Lately I've been in my room

Lookin' and lookin' at records on the wall

Hold up

Answer:

Slope:  

7

y-intercept:  

(0,2/5)

Step-by-step explanation:

Answer plsss? Much appreciated if done so

Answers

Answer:

Step-by-step explanation:

[tex]\dfrac{a^{m}}{a^{n}}=a^{m-n}\\\\\\\dfrac{12e^{5}}{3e^{3}}=\dfrac{12}{3}*e^{5-3}\\\\\\=4e^{2}[/tex]

Answer:

4e^2

Step-by-step explanation:

12 e^5

-----------

3 e^3

Divide the constants

12/3 = 4

We know that  dividing exponents with the same base means subtracting the exponents

e^5 / e^3 = e^(5-3) = e^2

4e^2

Geometry- Solve the portion. Question#3​

Answers

Answer:

[tex]a=1[/tex]

Step-by-step explanation:

First let's put our equation[tex]\frac{1}{a+3}=\frac{4}{16}[/tex]Cross - Multiply[tex]4a+12=16[/tex]Subtract both sides by 12[tex]4a=4[/tex]Divide both sides by 4[tex]a=1[/tex]

Answer:

a=1

Step-by-step explanation:

Hi there!

We are given the proportion [tex]\frac{1}{a+3} =\frac{4}{16}[/tex], and we want to solve it for the variable, a

Before we start, we can simplify 4/16 to 1/4, since 4 is the GCF of the numerator and denominator of that fraction. Simplifying the fraction will make the computation easier, as the numbers are smaller.

Therefore, the proportion will now be:

[tex]\frac{1}{a+3} =\frac{1}{4}[/tex]

Because this is a proportion, we can cross multiply in order to solve for a; to do that, multiply a+3 by the expression that is on the top right (in this case, 1). Also multiply 4 by the expression that is on the top left (in this case, 1). Then, set them equal to each other, since it is still an equation :)

1(a+3)=4(1)

Multiply

a+3=4

Subtract 3 from both sides

a=1

Hope this helps!

pls help me with this question ...​

Answers

Here is ur perfect answer

Answer:

x = 207

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

([tex]\sqrt{x}[/tex] )² + 7² = 16²

x + 49 = 256 ( subtract 49 from both sides )

x = 207

Find the perimeter. Simplify the answer

Answers

Answer:

Perimeter = 16c + 24

Step-by-step explanation:

Perimeter = 4c + 7 + 4c + 7 + 8c + 10

Perimeter = 16c + 14 + 10

Perimeter = 16c + 24

-Chetan K

16c + 24

Step-by-step explanation:

To Find the perimeter we add

all the sides,

= > 4c + 7 + 4c + 7 + 8c + 10

= > 16c + 24...ans

Hope it Helps you!!

2x + 6 = 6x - 22 how many solutions does this have

Answers

Answer:

This equation has one solution.

Step-by-step explanation:

2x + 6 = 6x - 22

=> 28 = 4x

=> x = 7

This equation has one solution.

Hoped this helped.

Write a system of linear inequalities represented by the graph?
Inequality 1:
Inequality 2:

Answers

Answer:

y > x - 2

y >= 5x + 1

Step-by-step explanation:

Linear inequalities represented by the graph are y>5x+1 and  y>x-2

What is Inequality?

A relationship between two expressions or values that are not equal to each other is called 'inequality.

The first line passes through the points

(0, 1) and (-1, -4)

The slope of line is m=-4-1/-1=5

Let us find the y intercept

1=5(0)+b

b=1

So the equation of line is y=5x+1

As the shading is outside so y>5x+1

Now let us find for 2nd line

(2, 0) and (-2, -4)

m=-4/-4=1

Now y intercept is 0=2+b

b=-2

So equation is y=x-2

As shading is outside so  y>x-2

Hence,  linear inequalities represented by the graph are y>5x+1 and  y>x-2

To learn more on Inequalities click:

https://brainly.com/question/28823603

#SPJ2

What is the value of 3x + 4y² when x = 5 and y = 3?

Answers

The value of 3x + 4y² when x = 5 and y = 3 is 51.

What are Expressions?

Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.

Given expression is,

3x + 4y²

We have to find the value of the expression when the value of x = 5 and that of y = 3.

For that, substitute x = 5 and y = 3 in place of x and y.

3x + 4y² = (3 × 5) + (4 × 3²)

             = 15 + (4 × 9)

             = 15 + 36

             = 51

Hence the value of the expression is 51.

Learn more about Expressions here :

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Answer:

51

Step-by-step explanation:

Jon bought a car that costs $2150. He paid $750 down and made a payment of $95 at the end of the first month. How much did he still owe? ​

Answers

Answer:

$1,305

Step-by-step explanation:

subtract how much he paid for the car with how much he paid down

2150-750=1400

then subtract that by the 95 dollars he paid off in the first month

1400-95=1,305

He still needs to pay off $1,305.

Hope this helps!!

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