Find the length of the third side. If necessary, write in simplest radical form.
Answers
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
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
How to get y intercept from 2 points.
Answers
Step-by-step explanation:
What I don "t" undesrtand
your problem for The
mathematics
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:
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
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
30 mins x 14=420 mins
420 mins in hours =7 hours
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.
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Answer:
51
Step-by-step explanation:
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
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:
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 ...
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.
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!!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.
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
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 = srHere,
3*2
r = 3 ; s = 2 r = first value in the expression s = second value in the expressionr*s = sr
Then
3*2 = 23
Therefore, the value of 3*2 = 23
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Help
I need help with this part
Answers
Answer:
[tex]3)y = kx \\ 4)y = kx \\ 5)y = - kx[/tex]
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!
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]
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
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]
simplify 12b+4b^2-10b
Answers
Answer:
4 b 2 + 2 b
Step-by-step explanation: hope it helps
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!!
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.
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
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
which of the following lines has a negative slope?
Red or Black,Blue
Answers
Answer:
black <3
Step-by-step explanation:
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
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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 inchesTo 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.
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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".
