The diagonal of a square is 8 cm.
What is the length of the side of this square?
Give your answer as an exact surd in its simplest form
Answers
the length of the side of this square is [tex]4\sqrt{2} \:or \:5.65[/tex]cm
Answer:
Solutions Given:
let diagonal of square be AC: 8 cm
let each side be a.
As diagonal bisect square.
let it forms right angled triangle ABC .
Where diagonal AC is hypotenuse and a is their opposite side and base.
By using Pythagoras law
hypotenuse ²=opposite side²+base side²
8²=a²+a²
64=2a²
a²=[tex]\frac{64}{2}[/tex]
a²=32
doing square root on both side
[tex]\sqrt{a²}=\sqrt{32}[/tex]
a=±[tex]\sqrt{2*2*2*2*2}[/tex]
a=±2*2[tex]\sqrt{2}[/tex]
Since side of square is always positive so
a=4[tex]\sqrt{2}[/tex] or 5.65 cm
Answer:
Given :
↠ The diagonal of a square is 8 cm.
To Find :
↠ The length of the side of square.
Using Formula :
Here is the formula to find the side of square if diagonal is given :
[tex]\implies{\sf{a = \sqrt{2} \dfrac{d}{2}}} [/tex]
Where :
➺ a = side of square ➺ d = diagonal of squareSolution :
Substituting the given value in the required formula :
[tex]{\dashrightarrow{\pmb{\sf{ \: a = \sqrt{2} \dfrac{d}{2}}}}}[/tex]
[tex]{\dashrightarrow{\sf{ \: a = \sqrt{2} \times \dfrac{8}{2}}}}[/tex]
[tex]{\dashrightarrow{\sf{ \: a = \sqrt{2} \times \cancel{\dfrac{8}{2}}}}}[/tex]
[tex]{\dashrightarrow{\sf{ \: a = \sqrt{2} \times 4}}}[/tex]
[tex]{\dashrightarrow{\sf{ \: a = 4\sqrt{2}}}}[/tex]
[tex]{\dashrightarrow{\sf{\underline{\underline{\red{ \: a = 5.65 \: cm}}}}}}[/tex]
Hence, the length of the side of square is 5.6 cm.
[tex]\underline{\rule{220pt}{3pt}}[/tex]
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Answer:
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Step-by-step explanation:
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Step-by-step explanation:
Hi! Can somebody please help me? I have been stuck on this question for too long now.
Examine this set of Pythagorean triples from part C. Look for a pattern that is true for each triple regarding the difference between the three values that make up the triple. Describe this pattern. Then see if you can think of another Pythagorean triple that doesn’t follow the pattern you just described and that can’t be generated using the identity (x^2 - 1)^2 + (2x)^2 = (x^2 + 1)^2. Explain your findings.
The Set of Pythagorean triples:
x-value Pythagorean Triple
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Answers
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Step-by-step explanation:
Evaluate.
(−16+0.6(−13)+1)2
What is the value of the expression?
Enter your answer as a simplified fraction in the box.
Evaluate.
(−16+0.6(−13)+1)2
What is the value of the expression?
Enter your answer as a simplified fraction in the box.
Answers
Answer:
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Step-by-step explanation:
[tex]\left(-\dfrac{1}{6}+0.6\left(-\dfrac{1}{3}\right)+1\right)^2=\left(-\dfrac{1}{6}-0.2+1\right)^2\\\\=\left(1-\left(\dfrac{1}{6}+\dfrac{1}{5}\right)\right)^2=\left(1-\dfrac{5+6}{6\cdot5}\right)^2=\left(\dfrac{19}{30}\right)^2=\boxed{\dfrac{361}{900}}[/tex]
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Answers
Answer:
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
second option: 4(x)+4(5)+3 = 4x + 20 + 3 or 4x + 23
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Answer:
Yes
Step-by-step explanation:
5^2 + 5^2 = c^2
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Answer:
NOStep-by-step explanation:
no, it is an acute isosceles triangle
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Step-by-step explanation:
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Select the statement that is true.
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Answers
Answer:
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Step-by-step explanation:
(d) option is true, as 0.969 is greater than 0.967.
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Given f(x) = 3x+5x and g(x) = sqrt x+ 4
find f(g(12))
Answers
Answer:
Below in bold.
Step-by-step explanation:
g(12) = √12 + 4
so f(g(12))
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AYYYYY GET IT !!!!
Step-by-step explanation:
Answer:
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Answers
Answer:
The first option so [tex](3\frac{1}{2}, -4)[/tex] is the answer
Skills required: Graphing Knowledge, Systems Knowledge
Step-by-step explanation:
1) The solution to any system is the intersection between any 2 lines or functions. In this case, we are given two functions on a graph, and need to find the solution to them. That is the intersection.
2) We can see the intersection and see that the x-axis value for the coordinate point is around 3 1/2 (or 3.5 -- whatever you prefer), and that the y-axis value for the point is -4.
Therefore, the coordinate point is: [tex](3\frac{1}{2}, -4)[/tex] since this answer best matches the coordinate values of that point.
==================================================================
Select the first option, have a nice day! :D
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Answers
The description of the intersection of plane A and plane B is line CD
From the question (see attachment for the diagram of both planes), we have the following highlights
Point C is on plane A and plane BPoint D is on plane A and plane BBoth planes meet at the line that joins points C and D.
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Read more about planes and lines at:
https://brainly.com/question/13099718
Answer:
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Edg, 2023
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Answers
[tex]r - 1[/tex]
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Step 4:Combine like terms[tex] \purple{ - r } - 1 + \purple{2r} \\ \purple{1r} - 1[/tex]
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Answers
Answer:
the answer is i dont know XD
Step-by-step explanation:
So if we want to do the first one it will be
Y = 4 x (1) - 3
Y = 4 - 3
Y = 1
For the second one we got x = 6
So we do the same thing but with 6 and say
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It seems confusing at first but I’m sure you’ll get the hang of it
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Answers
Answer:
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Step-by-step explanation:
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see attached
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Step-by-step explanation:
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Answers
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