Refer to the square.
6
What is the length of the square's side?
O 12 units
O 6/√2 units
O 3 units
O 6√2 units
Answers
The length of the diagonal of the square is[tex]\text { (b) } 3 \sqrt{2} \text { units }[/tex].
What is Pythagoras theorem?
The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between a right triangle's three sides in Euclidean geometry. According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.
The length of the diagonal of a square is calculated using the following Pythagoras theorem.
[tex]d^2=l^2+l^2\\[/tex]
Where:
d represents the length of the diagonal
l represents the side length of the square
So, we have:
[tex]d^2=3^2+3^2[/tex]
Evaluate the like terms
[tex]d^2=2\left(3^2\right)[/tex]
Take the square roots of both sides
[tex]d=3 \sqrt{2}[/tex]
Hence, the length of the diagonal of the square is [tex]\text { (b) } 3 \sqrt{2} \text { units }[/tex]
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Related Questions
Mountain lions are capable of jumping high into the ait If mountain lion jumps 9 feet off the ground and then comes back down, its height above the ground varies according to the equation h = - 16t ^ 2 + 24t where t = 1 time in seconds and h = heig in feet The right side of this equation can be factored to get the equivalent equation h = - 8t * (2t - 3) What do the factors 2t - 3 mean in this situation?
Answers
The factors 2t - 3 represent the time it takes for the mountain lion to reach its highest point and return back to the ground.
Used the concept of a quadratic equation that states,
An algebraic equation with the second degree of the variable is called a Quadratic equation.
Given that,
The equation h = -16t² + 24t represents the height (h) of the mountain lion above the ground at any given time (t) in seconds.
Now, By factoring the equation as,
h = -16t² + 24t
h = -8t × (2t - 3)
Here, Factor 2t - 3 indicates the time it takes for the height (h) to reach zero, which corresponds to the mountain lion being on the ground.
So, when 2t - 3 equals zero, the height is zero, indicating that the mountain lion has returned to the ground.
Therefore, factors 2t - 3 help us determine the point in time when the mountain lion reaches its peak height and when it returns back to the ground.
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9) What is the radius of a circle with a
circumference of 25 cm?
Answers
Solve the following quadratic equations using factoring.
b. x2 + 3x = 70
Answers
We can easily silve it by splitting the middle term or by using the discriminate method *
* splittingx 2 +3x -70
x2 + 10x - 7x -70
x(x + 10) -7(x +10)
(x / 7) ( x + 10)
x = 7 or -10
Find x. Please help with This problem!!!
Answers
Step-by-step explanation:
7+2x-2 = 4x -3
5= 2x -3
2x = 8
x = 4
1/2x-5=10-3/4x please helpppppp
Answers
Answer:
x=12
Step-by-step explanation:
1/2x - 5 = 10 - 3/4x ---> move like terms to the same side
1/2x + 3/4x = 10 + 5 ---> calculate
5/4x = 15 ---> multiply both sides by 4/5
x = 12
Please help I’ll mark BRAINLIEST!!!
Answers
cs.
The width of a rectangle is
12 cm less than the length.
The area is 64 cm2. Find the
length and width.
Answers
Answer:
Length of rectangle = 16 cm
Width of rectangle = 4 cm
Step-by-step explanation:
Given:
Area of rectangle = 64 cm²
Find:
Length and width
Computation:
Assume;
Length of rectangle = a
So,
Width of rectangle = a -12
Area of rectangle = l x b
So,
a(a-12) = 64
a² - 12a - 64 = 0
a² - (16-4)a - 64 = 0
a² - 16a+ 4a - 64 = 0
a (a-16) + 4(a-16)= 0
(a-16)(a+4) = 0
a= 16 , a = -4
So,
Length of rectangle = 16 cm
Width of rectangle = a -12
Width of rectangle = 16 -12
Width of rectangle = 4 cm
What is the equation of the line shown in the graph?
Answers
Answer:
y = -1/5x + 3
Step-by-step explanation:
y=mx+b
the diameter of a billard ball is approximately 6 cm. what is its volume? round your answer to the nearest whole number
Answers
Answer:
The diameter of a billiard ball is approximately 6 cm. what is the volume? round your answer to the nearest whole number.
A. 113 cm3
B. 903 cm3
C. 25 cm3
D. 38 cm3
Step-by-step explanation:
Nothing further can be done with this topic. Please check the expression entered or try another topic.
6
centimeters
...................................................................................................................................................
For this case we have that by definition, the volume of a sphere is given by:
Where:
r: It is the radius of the sphere
According to the data we have to:
Substituting we have:
The option that best fits is option B.
Answer: v=113cm3
The option that best fits is option B.
...............................................................................................................................................
Answer:
V ≈ 904 cm³
Step-by-step explanation:
Let r denotes radius
r = 6cm (given)
As it a sphere of radius 6cm,
Volume of a sphere,
V = 4/3 π r³
V = 4/3 (3.14) (6)³
V = 4/3 (3.14) x 216
V = 4 (3.14) x 72
V = 12.56 x 72
V = 904.32 cm³
Rounding off,
V ≈ 904 cm³
...............................................................................................................................................
Answer:
113 cm
Step-by-step explanation:
PLEASE HELP ASAP PLEASE
Answers
Answer:
9
Step-by-step explanation:
Range = Max value - min value
Max value = 6
Min value = -3
Range:
6 - (-3)
6 + 3
9
Answer:
9
Step-by-step explanation:
there are 9 numbers between -3 and 6 ;)
BRAINLY TO WHOEVER HELPS ASAP
Answers
Answer: A, D
Step-by-step explanation:
For number 7 the answer is A
For number 8 since you are only moving it is the same size, therefore, producing a congruent image for all 3 of those translation. So for 8 the answer is d.
Answer:
Look Below
Step-by-step explanation:
1) The answer is A. It is A because if you want a reflected images across the Y-Axis, you want just the X value to change. Not the Y. So since the Y is positive and the X is positive, if you want a reflected image you want the X to be negative and the Y to be positive.
2) The answer is D. It is D because those are all forms that will produce a Congruent Image.
If you find any faults in my answer please let me know. Thanks! Have a Good Day!
Help please I’m being timed!!
Answers
Answer:d
Step-by-step explanation:
pleaseeeeeeee help meee
Answers
Answer:
11
Step-by-step explanation:
sorry if I got it wrong but from what I understand it is 11
I have two turtles. Today, the older turtle's age is $11$ times that of the younger turtle. In $24$ years, the older turtle's age will only be $7$ times that of the younger turtle. If both turtles survive until then, how many years from today will the older turtle's age be triple that of the younger turtle?
Answers
Answer:
Let $y$ be the younger turtle's age today. Then the older turtle's age today is $11y.$ So $24$ years from now, the younger turtle's age will be $y+24$ and the older turtle's age will be $11y+24.$ However, we know the older turtle's age will be $7$ times that of the younger turtle then, which tells us that
\[11y+24=7(y+24).\]Distributing, we get $11y+24=7y+168.$ Subtracting $7y+24$ from both sides of this equation, we get $4y=144,$ so $y=36.$
This is the younger turtle's age today, but that's not what we're looking for in this problem - we're looking for the number of years from today that the older turtle's age will be triple that of the younger turtle. Let $k$ be this number of years. Since the younger turtle's age today is $y=36$ and the older turtle's age today is $11 \cdot 36=396,$ it follows that $k$ years from now my turtles' ages will be $36+k$ and $396+k$ respectively. Since we want to know when the older turtle's age will be triple that of the younger turtle, we want to know for what $k$ this equation will be true:
\[3(36+k)=396+k.\]Distributing, we get $108+3k=396+k.$ Subtracting $k+108$ from both sides of this equation, we get $2k=288.$ Therefore, $k=\boxed{144}.$
Step-by-step explanation:
A number which is divided by 5, with the result as 50 less than if the number had been divided by 6 would be; -1500
How to solve Algebra Word Problems?Let the number be x. We are asked that it is divided by 5, and the result is 50 less than if the number had been divided by 6;
(x/6) - (x/5) = 50
Multiply by 30 to get;
5x - 6x = 1500
-x = 1500
x = -1500
Let the older turtle be represented x and the younger one be y.
Todays age,
Older turtle = 11y years
Younger turtle = y years
Also the equation form as;
11y + 24 = 7(y + 24)
11y + 24 = 7y + 168
11y - 7y = 168 - 24
4y = 144
y = 144/4
y = 36
Thus;
Age of older turtle today = 396 years
Age of younger turtle today = 36 years
Therefore,
3(36 + t) = 396 + t
108 + 3t = 396 + t
2t = 292
t = 292/2
t = 146 years
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what is a equation for 11 5 and b
Answers
In the coordinate plane shown below, which point
could have coordinates (3,-2) ?
A.
B.
C.
D.
Answers
Answer:
D
Step-by-step explanation:
At least Im Sure lol
Help please no links as an answer
Answers
Answer:
essentially the answer is 33
Mhanifa can you please help? I will mark brainliest
Answers
Answer:
D. Opposite sides are congruentStep-by-step explanation:
As per picture we see two pairs of opposite sides marked as congruent
Correct choice is the last one:
D. Opposite sides are congruentI need help with this question ( see image). Please show workings.
Answers
Answer:
(a) AC = 12.565 m
(b) bearing of C from A is 90°
(c) BT = 9.373 m
Step-by-step explanation:
(a) extend North line down & perpendicular to AC.
Call that perpendicular intersection "P".
∠BAC = 90° - 53° = 37°
cos 37° = AP/15
0.7986 = AP/15
AP = 11.979 m
∠PNC = 180° - 161° = 19°
∠BCP = 90° - 19° = 71°
18 cm = 0.18 m (red flag note: 18 cm looks very out of scale for the picture)
cos 71° = CP/0.18
0.3256 = CP/0.18
CP = 0.586 m
AC = 11.979 + 0.586 = 12.565 m
(b) The bearing to C from A is 90°
(c) tan 58° = 15/x
1.6003 = 15/x
x = 9.373 m
Determine the center and radius of the following circle equation:
x^2+y^2+12x-10y+12=0
Answers
Answer:
Center: ( -6,5) Radius: 7
Step-by-step explanation:
I hope this helps!
Answer:
radius = 9
C:(9,3)
Step-by-step explanation:
Will the following measurements create a triangle? 25 25 130
Answers
Answer:
if those measurements are degrees, then yes. If those measurements are the side lengths, then no.
Step-by-step explanation:
all angles on a triangle must had up to 180 degrees.
the two smaller sides of the triangle must add up to be larger than the largest side.
Will mark brainliest
Answers
I think it’s the last one 2x + 7 sorry if I’m wrong!
Mr. And Mrs. Doran have a genetic history such that the probability that a child being born to them with a certain trait is 81%. If they have four children, what is the probability that exactly four of their four children will have that trait? Round your answer to the nearest thousandth.
Answers
Answer:
0.430 (nearest thousandth)
Step-by-step explanation:
Using binomial probability relation :
p = 0.81
n = 4
x = 4
1 - p = 1 - 0.81 = 0.19
Recall ;
P(x =x) = nCx * p^x * (1 - p)^(n - x)
P(x = 4) = 4C4 * 0.81^4 * 0.19^(4-4)
P(x = 4) = 1 * 0.43046721 * 1
P(x = 4) = 0.43046721
P(x = 4) = 0.430 (nearest thousandth)
((PLEASE SOLVE )) In ABC the measure of the largest angle is 17 less than 4 times the smallest angle. The measure of the middle angle is 10 more than half the measure of the largest angle. What is the measure of the middle angle?
Answers
Unknown, This is physically impossible to answer.
You need to give more information than that, or an image.
also what type of triangle is it obtuse acute right e.t.c.
Please put more information so i can answer this the correct way.
factorise it
[tex]v[/tex]
Answers
Answer:
2(x – ½)(x + ½)
Step-by-step explanation:
2x² – ½
The above expression can be factorised as follow:
2x² – ½
2 is common to both 2 and ½. Thus,
2x² – ½ = 2[x² – ¼]
Recall
(½)² = ¼
Thus,
2[x² – ¼] = 2[x² – (½)²]
Difference of two squares
2(x – ½)(x + ½)
Therefore,
2x² – ½ = 2(x – ½)(x + ½)
Can someone help me please
A. 5
B.25
C.81
D. 128
Answers
Answer:
b 25
Step-by-step explanation:
jackson is paid $250.for 5
days of Work how much IS
he paid per day
Answers
First you divide 250 dollars by 5 then you will get 50 dollars
Can you please answer this honestly no need for explanation
Answers
Answer:
alternate exterior: 2 and 7
corresponding: 1 and 5
alternate interior: 3 and 6
Step-by-step explanation:
Answer:
a= 8 and 1
b= 7 and 3
c= 6 and 3
Step-by-step explanation:
Question 2 (1 point)
A bag holds 6 tiles: 2 lettered and 4 numbered. Without looking,
you choose a tile. What is the probability of drawing a number?
Answers
look at the picture in need help
Answers
Answer:
$500
Explanation:
If Joe saved 60% of the cost, given that the amount he saved was $300, to find the total cost of the computer, we need to know 100% of the cost.
60% = $300
[Set the percentage to a fraction and let x be the total cost]
(60/100) x = $300
60x / 100 = $300
_____________
60 → 30 × 2 → 15 × 2 × 2 → 5 × 3 × 2 × 2
______________________________
100 → 50 × 2 → 10 × 5 × 2 → 5 × 2 × 5 × 2
_______________________________
5 × 3 × 2 × 2 / 5 × 2 × 5 × 2 =
3 / 5.
_____________________________
3x / 5 = 300
3x / 5 × 5 = 300 × 5
3x = 1500
÷3 ÷3
x = $500