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]
Related Questions
Are these three side lengths a Pythagorean triple? YES
NO
Answers
Answer:
Yes
Step-by-step explanation:
5^2 + 5^2 = c^2
25 + 25 = c^2
50 = c^2
[tex]\sqrt{50}[/tex] = c
[tex]\sqrt{50}[/tex] = 5[tex]\sqrt{2}[/tex]
Answer:
NOStep-by-step explanation:
no, it is an acute isosceles triangle
(5√2 = 7.01)
2. Daniel orders sushi from the sushi restaurant. The total bill is $80. He tips the sushi chef 20%.
How much money does the sushi chef get?
Answers
Answer:
16
Step-by-step explanation:
(20/100) * 80=16
Answer:
16
Step-by-step explanation:
$20.43 is how much tip was
27% >>> .27
.27 * 75.68 = 20.43 tip
Bonus: $96.11
the bold word are tip but your answer is 16
mark me brinilylist
Select the statement that is true.
0.969 < 0.967
0.967 > 0.969
0.967 = 0.969
0.967 < 0.969
Answers
Answer:
d option
Step-by-step explanation:
(d) option is true, as 0.969 is greater than 0.967.
Rest all options are false.
Hope it helps :)
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))
= 3(√12 + 4) + 5(√12 + 4)
= 8(√12 + 4)
= 59.71 to nearest hundredth.
Tyee signed up for a streaming music service that costs $6 per month. The service allows Tyee to listen to unlimited music, but if he wants to download songs for offline listening, the service charges $0.75 per song. How much total money would Tyee have to pay in a month in which he downloaded 10 songs? How much would he have to pay if he downloaded ss songs?
Answers
Answer:
Total cost for 10 songs = 6 + [0.75 × 10]
= $13.5
Total cost for ss songs = 6 + [0.75 × ss]
Step-by-step explanation:
Using Pythagoras, find the lengths of the sides labelled with letters.
Answers
Answer:
Step-by-step explanation:
Use the distributive property to rewrite as an expression
5(x+3)
Answers
Answer:
5x+15
Step-by-step explanation:
you mulityply 5*x and 5*3
where is paint d on the number line
Answers
Answer:
-1.1
Step-by-step explanation:
Question 30 of 56
Is this relation a function? Justify your answer
Answers
Answer: No, this relation is not a function.
Step-by-step explanation:
Two of the points with the same Y axis have different X values (as stated in answer A)
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:
361/900
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]
GIVING BRAINLIEST
What is the solution to the system of linear equations graphed below?
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
I need help i don't understand/
Answers
Answer:
1. A
2. C
Step-by-step explanation:
If they are corresponding, so their angle measures are the same. Hope this helps. :)
Answer:
1) 1 and 6
2) 110. these are corresponding angles so they are congruent
Step-by-step explanation:
(-r-5)-(-2r-4) help me solve pls lol
Answers
[tex]r - 1[/tex]
Step by step explanation: Step 1: Distribute[tex]( - r - 5) - ( - 2r - 4) \\ ( - r - 5) + 2r + 4[/tex]
Step 2: Eliminate redundant parenthesis[tex]( - r - 5) + 2r + 4 \\ - r - 5 + 2r + 4[/tex]
Step 3: Add numbers[tex] - 3 \purple{ - 5} + 2r + \purple{4} \\ - r \purple{ - 1} + 2r[/tex]
Step 4:Combine like terms[tex] \purple{ - r } - 1 + \purple{2r} \\ \purple{1r} - 1[/tex]
Step 5:Multiply by 1[tex]1r - 1 \\ r - 1[/tex]
Hopefully it's help
I copy MissJoy2 answer cuz her/his answer is right
4/7 + 21/30 x ((21 x 4) + (23 x 8)) = n
need in simplest form
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Answer:
AYYYYY GET IT !!!!
Step-by-step explanation:
Answer:
put in the work put in the hour and take what's ours
Step-by-step explanation:
WILL GIVE BRAINLIEST
Answers
Answer:
you can do this unless x is given
Step-by-step explanation:
since we don't know what x equals this is practically impossible. so if u can put whay x equals in the picture
name the relationship of these angles
Answers
2) adjacent
3) adjacent
4) complementary
5) vertical
6) adjacent
7) linear pair
8) vertical
Use long division to find the quotient below.
(10x^3 - 19^2 - 2x + 12) / (2x-3)
Answers
answer:
B
Planes A and B intersect. Vertical plane B intersects horizontal plane A at line E D. Line C D is on plane A. Which describes the intersection of planes A and B? line CD line ED point C point D.
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.
Hence, the description of the intersection of plane A and plane B is line CD
Read more about planes and lines at:
https://brainly.com/question/13099718
Answer:
The first answer, CD, is correct.
Edg, 2023
How do we get 144 here?
Answers
Answer:
the correct answer is supposed to be 120, your almost there :)
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
7 (14,48,50)
8 (16,63,65)
9 (18,80,82)
10 (20,99,101)
Answers
Answer:
its 7
Step-by-step explanation:
Which of the expressions is equivalent to the expression 4 left parenthesis x plus 5 right parenthesis plus 3? (1 point) 4 times x times 4 times 5 plus 3 4 times x plus 4 times 5 plus 3 4 times x times 3 plus 4 times 5 plus 3 4 plus x plus 4 plus 5 plus 3
Answers
Answer:
4(x+5)+3 = 4x+23
Step-by-step explanation:
second option: 4(x)+4(5)+3 = 4x + 20 + 3 or 4x + 23
The perimeter of a square is 16 inches what is the length of each side?
Answers
How can you split 20 into 3 groups
Answers
The answer is 6 per team with 2 left over, as (6 x 3) + 2 = 20
I thought of the largest amount that could be multiplied by 3, but the product would be less or equal to 20, that's how I got 6.
Then to find the left over remaining balls that are given out I subtracted 20-18 = 2.
how do you graph parametric equation on desmos?
Answers
Answer:
yes, you can graph parametric equations there. (It's called Desmos, by the way, not “Demos.”) Click on the triple-bar symbol at the top left, which takes you to a drop-down menu. Scroll down that menu until you see the entries for parametric equations. Hope this helps!
Step-by-step explanation:
pls say thx
help me please???????
Answers
Answer:
we have to know what your element is to help you answer this question
Graph x + 3y = 6.
please help
Answers
this is the photo of a answer
Answer:
see attached
Step-by-step explanation:
Both coefficients are divisors of the constant, so the intercepts are integer values. This makes it easy to graph the line using the x- and y-intercepts.
x-intercept
Set y=0 and you get ...
x = 6
y-intercept
Set x=0 and you have ...
3y = 6
y = 2 . . . . divide by 3
__
The intercepts (6, 0) and (0, 2) are points on the line. Plot these points and draw the line through them.
please help me with this as soon as possible
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
Y = 4 x (6) - 3
Y = 21
It seems confusing at first but I’m sure you’ll get the hang of it
A rectangle with a width of 4.6 inches has an area of 23 inches squared. What is the length?
Answers
Answer:
length = 5
Step-by-step explanation:
area = length × width
23 = length × 4.6
23 ÷ 4.6 = length
5 = length
A baker has 12 pounds of almonds. She puts them in bags, so that each bag has the same weight. Clare and Tyler drew diagrams and wrote equations to show how they were thinking about 12 divideDid divide by 6