to the Pythagorean Theorem
Rapids
For the following right triangle, find the side length x.
20
21
Answers
Answer:
x = 29
Step-by-step explanation:
[tex]c^{2} = a^{2} + b^{2}[/tex]
[tex]c^{2} = 20^{2} + 21^{2}[/tex]
[tex]c^{2} = 400 + 441[/tex]
[tex]c^{2} = 841[/tex]
[tex]\sqrt{c^2} = \sqrt{841}[/tex]
[tex]c = 29[/tex]
As per the Pythagorean theorem, the value of 'x' for the given right angle triangle is 29.
What is the Pythagorean Theorem?"The Pythagorean theorem states that if a triangle is right-angled (90 degrees), then the square of the hypotenuse is equal to the sum of the squares of the other two sides. Observe the following triangle ABC, in which we have BC² = AB² + AC². Here, AB is the base, AC is the altitude (height), and BC is the hypotenuse."
Given, the value of the three sides of the right angle triangle are 20, 21, and 'x'.
Here, x = the hypotenuse of the right angle triangle.
Therefore, using the Pythagorean theorem, we get:
x² = 20² + 21²
⇒ x² = 400 + 441
⇒ x² = 841
⇒ x = √(841)
⇒ x = 29 (ignoring the negative value of the square root)
Therefore, the value of 'x' is 29.
Learn more about the Pythagorean Theorem here: https://brainly.com/question/20545091
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Related Questions
The temperatures at 6:00 am one morning in four cities are given below.
Paris
-5 °C
Oslo
-12 °C
-3°C
London
Brussels
-1 °C
a) Which city was the warmest?
Brussels
b) Give the difference in temperature between Oslo and London.
°C
At 6:00 pm, the temperature in Paris was 3°C higher than at 6:00 am.
c) What was the temperature at 6:00 pm in Paris?
°C
Answers
Answer:
-9
Step-by-step explanation:
The city of Brussels will be the warmest. The difference in temperature between Oslo and London is -9°C and the temperature at 6:00 pm in Paris will be -2°C.
What is the arithmetic operator?Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,
(a)
A city which has the lowest temperature will be warmest since -1°C is the lowest so Brussels will have the warmest city.
(b)
The difference in temperature between Oslo and London will be as,
-12 °C - (-3 °C) = -9 °C.
(c)
At 6.:00 pm the temperature will be -5 °C + 3 °C = -2 °C.
Hence "The city of Brussels will be the warmest. The difference in temperature between Oslo and London is -9°C and the temperature at 6:00 pm in Paris will be -2°C".
To learn more about the arithmetic operators,
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Need this now. So pls help. -.-
Answers
Answer:
6
Step-by-step explanation:
I simplified it.
Hope this helps =]
Step-by-step explanation:
=(-3)(a+x)
=(-3)(8+(-10))
= -3×(-2)
=6
hope it helps.
solve the system of equations -8x+7y=6 and 3x-2y=4 by combining the equations
Answers
Answer:
x=8, y=10. (8, 10).
Step-by-step explanation:
-8x+7y=6
3x-2y=4
--------------
2(-8x+7y)=2(6)
7(3x-2y)=7(4)
-----------------------
-16x+14y=12
21x-14y=28
-------------------
5x=40
x=40/5
x=8
3(8)-2y=4
24-2y=4
2y=24-4
2y=20
y=20/2
y=10
The equation of the line passing through (2, 3) with a slope of 5 is y = []x- []
Answers
Answer: y = 5x - 7
Step-by-step explanation:
y = mx + b, where m = slope
We plug in the point, where x = 2, and y = 3
y = 5x - b
3 = 5(2) - b
3 = 10 - b
b + 3 = 10
b = 7
y = 5x - 7
When adding two rational
numbers tell what the sign of the
sum will be if:
Both rational numbers are
negative
Answers
Answer:
it's going to be negative
Please Help Quickly :)
The area of the top of a rectangular coffee table, in square units, is represented by the expression: (2x-11)(2x+11). Which expression represents an equivalent area?
A.) (4x^2-121) Square units
B.) (4x^2-44x+121) Square units
C.) (4x^2 +44x-121) Square units
D.) (4x^2+121) Square units
I will gve you brainliest if it is the correct awnser and if you help me quickly
Answers
Answer:
Step-by-step explanation:
2x * 2x = 4x^2 and -11 * 11 = -121
HURRY ASAP ?!?!?!?!?!?!?!?Which of the following is the inverse of
Answers
Answer:
[tex]f^{-1}(x) = \sqrt[3]{\frac{x -4}{5}} +2[/tex]
Step-by-step explanation:
Given
[tex]f(x) = 5(x - 2)^3 + 4[/tex]
Required
Determine the inverse
[tex]f(x) = 5(x - 2)^3 + 4[/tex]
Replace f(x) with y
[tex]y = 5(x - 2)^3 + 4[/tex]
Swap the positions of x and y
[tex]x = 5(y - 2)^3 + 4[/tex]
Make y the subject
[tex]x -4= 5(y - 2)^3[/tex]
Divide by 5
[tex]\frac{x -4}{5}= (y - 2)^3[/tex]
Take cube roots of both sides
[tex]\sqrt[3]{\frac{x -4}{5}}= y - 2[/tex]
Add 2 to both sides
[tex]\sqrt[3]{\frac{x -4}{5}} +2 = y[/tex]
[tex]y = \sqrt[3]{\frac{x -4}{5}} +2[/tex]
Replace y with [tex]f^{-1}(x)[/tex]
[tex]f^{-1}(x) = \sqrt[3]{\frac{x -4}{5}} +2[/tex]
A television station shows 3 commercials every 12 minutes. At this rate, how many commercials will the station show in 84 minutes?
Answers
Answer:
21
Step-by-step explanation:
84/12=7x3=21
It will take 72 mins to see 18 commercials.
Step-by-step explanation:
If a television station shows commercials every 12 mins, then to figure out how long it takes to see 18 commercials you will have to do 18 / 3 which is 6. Then do 12 * 6 and you will get 72 mins.
Another method is finding the unit rate of how long does it take to see one commercial. So in order to do that, you will have to do 12 / 3, and you will get 4. So, to see one commercial it will take 4 mins. But you want to find how long will it take to see 18 commercials. So you do 18 * 4 which equals 72 mins.
AccelGR7_Math_T6_FSQ_OL_FY21
Look at this system of linear equations.
S2x + 3y =-4
ly = 2x +4
What is the solution to the system of linear equations?
X = -2, y = 0
x= – 1, y = 2
x = 4, y = - 4
x = 2, y = 8
Answers
Answer:
x=-2 and y =0
Step-by-step explanation:
2x + 3y=-4
y=2x + 4
2x -y = -4
4y= 0
y = 0
2x -0=-4
2x =-4
x=-2
In the diagram, R, S, and T are all points of tangency. What is the perimeter of Triangle
XYZ?
Answers
Answer:
54 cm
Step-by-step explanation:
Perimeter = TZ + TX + RX + RY + SY + SZ
TZ = 5 cm
TX = 13 cm
RY = 9 cm
RX = TX = 13 cm (tangents drawn from and external point)
SY = RY = 9 cm (tangents drawn from and external point)
SZ = TZ = 5 cm (tangents drawn from and external point)
Plug in the values:
Perimeter = 5 + 13 + 13 + 9 + 9 + 5 = 54 cm
a+4<9
Anyone please?
Answers
a < 5
step by step
4 - 4 = 0
9 - 4 = 5
what is 1/2 + 1/3 i know it’s so simple i’m just so bad at maths
Answers
Merit verification
1+1+1+1=R
2+2+2+2=T
3+3+3+3=E
4+4+4+4=N
5+5+5+5=?
Answers
Explanation: The letter represents the last letter of the total. For example, 1+1+1+1= 4 (fouR), 3+3+3+3=12(twelvE), therefore 5+5+5+5=20(twentY)
pls hurry if you can. A What is the volume of this cube?
Question 5 options:
26.46 cm3
9.261 cm3
6.3 cm3
Answers
Answer:
9.261 cm³
Step-by-step explanation:
2.1x2.1x2.1=9.261
Answer:
9.2
Step-by-step explanation:
the answer is 9.2 yo multiplu 2.1x2.1x2.1
Which relation is a function?
A. (1.0), (3.0), (1, 1), (3, 1)(1.3)
acation
O
B. (1, 1), (2, 2), (3, 3), (4,4), (5,8)
O C. (2,7). (6.5), (4, 4), (3, 3), (2, 1)
OD. (9.-3). (9.3), (4, -2), (4,2), (0,0)
4/1
Answers
HELP! A’B’C’ is a reflection of ΔABC. Which best describes the reflection? *
Answers
Answer:
the second one
Step-by-step explanation:
find the circumference of the circle. PLEASE HELP I HAVE 5 MINUTES LEFT :(
Answers
Answer:
18.84
Step-by-step explanation:
Thelma and Louise ordered take - out from Belle Taco . Thelma ordered 2 tacos and 1 burrito and paid $ 3.79 . Louise ordered 2 burritos and 1 taco and paid . \$4.58
Answers
Answer:
A taco cost $1 while a burrito cost $1.79
Step-by-step explanation:
This may be computed as a set of simultaneous equations
Thelma ordered 2 tacos and 1 burrito and paid $ 3.79
let the cost of a taco be t and a burrito b then
2t + b = 3.79
Louise ordered 2 burritos and 1 taco and paid . \$4.58
t + 2b = 4.58
solve both equations simultaneously
multiply the first by 2
4t + 2b = 7.58
t + 2b = 4.58
subtract 2 from 1
3t = 3
t = 1
t + 2b = 4.58
1 + 2b = 4.58
2b = 4.58 - 1
2b = 3.58
Divide both sides by 2
b = 1.79
A taco cost $1 while a burrito cost $1.79
Consider all the points in the plane that solve the equation [tex]$x^2 + 2y^2 = 16.$[/tex] Find the maximum value of the product [tex]xy[/tex] on this graph.
(This graph is an example of an "ellipse".)
Answers
Answer:
that hard....
Step-by-step explanation:
Hey guys I need some help; I would really appreciate it :)
Answers
The staircase has three parallelogram-shaped panels that are the same size. The horizontal distance between each panel is 4.25 inches. What is the area of one panel?
Item 19
The staircase has three parallelogram-shaped panels that are the same size. The horizontal distance between each panel is 4.25 inches. What is the area of one panel?
Answers
Answer:
636
8u2b4c9....°73vaultx8 3_2144,773,90=636
Step-by-step explanation:
993yuei92u83vaultx21564=636
Select all the choices below that show three lengths that could be the lengths of a triangle?
2 cm, 3 cm, 8 cm
2 cm, 5 cm, 6 cm
4 cm, 8 cm, 11 cm
10 in, 5 in, 13 in
Answers
Answer:
The last three,
2 cm, 5 cm, 6 cm
4 cm, 8 cm, 11 cm
10 in, 5 in, 13 in
As long as any two sides added together are long than the third side, it works as a triangle!
A recent survey was conducted to compare the cost of solar energy to the cost of gas or electric energy. Results of the survey revealed that the distribution of the amount of the monthly utility bill of a 3-bedroom house using gas or electric energy had a mean of $93 and a standard deviation of $11. Three solar homes reported monthly utility bills of $56, $54, and $51. Which of the following statements is true?
A. Homes using solar power always have lower utility bills than homes using only gas and electricity.
B. Homes using solar power may have lower utility bills than homes using only gas and electricity.
C. Homes using solar power may actually have higher utility bills than homes using only gas and electricity.
D. The utility bills for homes using solar power are about the same as those for homes using only gas and electricity.
Answers
Answer:
A. Homes using solar power always have lower utility bills than homes using only gas and electricity.
Step-by-step explanation:
Gas and Electricity
[tex]\bar x = 93[/tex]
[tex]\sigma = 11[/tex]
Solar
Bills: 56, 54 and 51
Required
Determine which of the statements is true
First, we calculate the mean of the given data
[tex]\bar x = \frac{\sum x}{n}[/tex]
[tex]\bar x = \frac{56 + 54 + 51}{3}[/tex]
[tex]\bar x = \frac{161}{3}[/tex]
[tex]\bar x = 53.67[/tex]
Then, the standard deviation
[tex]\sigma = \sqrt{\frac{\sum(x - x_i)^2}{n}}[/tex]
[tex]\sigma = \sqrt{\frac{(56 - 53.67)^2 + (54 - 53.67)^2 + (51 - 53.67)^2}{3}}[/tex]
[tex]\sigma = \sqrt{\frac{12.67}{3}}[/tex]
[tex]\sigma = \sqrt{4.223}[/tex]
[tex]\sigma = 2.05[/tex]
So, we have:
Gas or Electricity
[tex]\bar x = 93[/tex]
[tex]\sigma = 11[/tex]
Solar
[tex]\bar x = 53.67[/tex]
[tex]\sigma = 2.05[/tex]
By comparison.
The mean and standard deviation of homes using solar panel is less than home using gas and electricity.
This implies that: (a) is true.
Select all the expressions that have the same value
Answers
so what was the question again?
Answer:
Step-by-step explanation:
please help me thanks
Answers
Answer:
1/14
Step-by-step explanation:
HELPP!!
Explain how to find the difference between two integers using the difference.
WILL GIVE BRAINLIEST
Answers
Answer:
Hope this will help you.
What is 0.69 expressed as a fraction in simplest form
Answers
Answer:
the answer is 69/100
1302 rounded to the nearest thenth
Answers
Answer:
1300
Step-by-step explanation:
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: 1300 Is the answer! I hope this helped
Explanation:
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
What's 9 mil time 400 can you please answer
Answers
Answer:
The answer is 3,600,000,000
Step-by-step explanation:
Simply multiply 9,000,000 * 400 which equals 3,600,000,000.
I will send a pic to you
Answers
Answer:
agreed
Step-by-step explanation:
agreed...............................
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