The equation that shows the relationship between the lengths of the sides and the diagonal is 2[tex]x^2[/tex] = [tex]d^2[/tex] where x is the length of the side and d is the length of the diagonal.
In a square, the diagonal divides the square into two congruent right triangles. By the Pythagorean theorem, in a right triangle, the square of the length of the hypotenuse (diagonal) is equal to the sum of the squares of the lengths of the other two sides.
Let x be the length of one side of the square, and d be the length of the diagonal. According to the Pythagorean theorem, we have:
[tex]\[ x^2 + x^2 = d^2 \][/tex]
Simplifying:
2[tex]x^2[/tex] = [tex]d^2[/tex]
This equation represents the relationship between the length of the sides (x) and the length of the diagonal (d) of the square tile.
What approach is being used in terms of the outcome of a students grade?
Answer:
It can be biased.
Step-by-step explanation:
Usually it is the correctness of the assignment, but with some teachers there may be bias with the grade too.
Hope this helps
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Bart recorded the amount of rain that fell in a desert in each month for one year. What was the total amount of rainfall in the desert that year? Line plot named as ALTDCMonthly Rainfall Amounts in One YearALTDC shows a number line from 0.0 to 1.1. The number line is divided into 22 equal parts. 1 dot on 0.4, 2 dots on 0.5, 1 dot on 0.6, 2 dots on 0.85, 1 dot on 0.95, 2 dots on 1.0, 2 dots on 1.05 and 1 dot on 1.1 is given. A. 9.85 inches B. 26.05 inches C. 7.25 inches D. 10.75 inches
Answer:
A. 9.85 inches
Step-by-step explanation:
In the graph we can see that 1 month has a rainfall of 0.4 in, 2 months have a rainfall of 0.5 in, 1 month has a rainfall of 0.6 in, 2 months have a rainfall of 0.85 in, 1 month has a rainfall of 0.95 in, 2 months have a rainfall of 1.0 in, 2 months have a rainfall of 1.05 in and 1 month has a rainfall of 1.1 in.
The total amount of rainfall in the desert that year was: 0.4 + 2*0.5 + 0.6 + 2*0.85 + 0.95 + 2*1.0 + 2*1.05 + 1.1 = 9.85 inches
Answer:
its 10.75 i'm pretty sure oops never mind i thought it was 1.5 its 1.05 my mistake the answer is 9.85!
Step-by-step explanation:
how many cubic feet of water can the following in ground swimming pool hold
a) 42ft4
b)144 ft3
c)303 ft3
d) 528 ft3
Answer:
do length times width times height and see what you get if your answer is not on there split the figure into 2 shapes and do l*w*h to both and add you 2 figures together then see if you have your answer.
Step-by-step explanation:
do length times width times height and see what you get if your answer is not on there split the figure into 2 shapes and do l*w*h to both and add you 2 figures together then see if you have your answer. hope that helps!
Answer:
528 ft3
Step-by-step explanation:
A. 10
B. 12
C. 15
D. 18
Answer:
3x = 90, so x = 30.
2(30) + 3y = 90
60 + 3y = 90
3y = 30
y = 10
The correct answer is A.
Which of the following properties can numbers have?
They can be positive.
They can be zero.
They can be negative.
They can be both positive and negative.
They can be absolute value.
If you flip a coin and roll a 666-sided die, what is the probability that you will flip a heads and roll an even number?
Answer:
334/667
Step-by-step explanation
chances of getting heads is 1/2
chances of getting an even number is 333/666
simply add them up
Answer:
1/4
Step-by-step explanation:
i’m assuming u meant a 6 sided die. the probability of flipping a heads would be 1/2. the probability of rolling an even number is 3/6. 3/6 times 1/2 is 3/12 or 1/4
Suri's age is 4 less than 3 times her cousin's age. Suri is 17 years old. Which method can be
used to find c her cousin's age?
Answer:
Add 4 to 17, then divide both sides by 3.
Step-by-step explanation:
Given that :
Suri's age is 4 less than 3 times her cousin's age
Suri is 17 years old
Let her cousin's age be c
Then ;
3c - 4 = 17
By adding 4 to 17; we have
3c = 17 + 4
3c = 21
Now, dividing both sides by 3 ; we have
3c/3 = 21/3
c = 7
The age of her cousin is 7 years
Answer:
Algebraic equation
Step-by-step explanation:
We would use an algebraic equation.
An algebraic equation is a mathematical statement in which two expressions are made equal to each other using the equal sign.
In this case the algebraic equation consists of constant, variables and algebraic operation.
One of the type of algebraic equation is a linear equation. The expression below relating suri's age with her cousin's is a linear equation.
We can derive equations from sentences that involves unknown values by representing them with variables such as x, y, etc.
Suri's age = 17years old
Let Suri's cousin's age = x
3 times her cousin's age = 3x
Suri's age = 4 less than 3 times her cousin's age = 3x-4
17 = 3x-4
3x = 17+4 = 21
x = 21/3
x = 7
Her cousins age = 3x = 3×7
Her cousins age = 21 years
The Fahrenheit measure of temperature is a function of the Celsius measure. The Fahrenheit measure is 32 more than 9/5 times the Celsius measure. Which equation best fits the situation?
A. x(g) + 32= 9/5 (x)
B. x(g)= 9/5 (x) + 32
C. g(x) + 32= 9/5 (x)
D. g(x)= 9/5 (x) + 32
Answer:
b
Step-by-step explanation:
lucy rolls 2 fair dice and adds the results from each. work out the probability of getting a total of 10
Answer:
The probability of obtaining the sum of 10 is 1/12 or 0.0833
Step-by-step explanation:
Given
2 fair dice
Required
Probability of obtaining the sum of 10
To solve this, we have to list out the sample space.
Sample space is the total possible sum that can be obtained when she rolls the dice.
Let the first die be represented with S1 and the second be represented with S2.
S1 = {1,2,3,4,5,6}
S2 = {1,2,3,4,5,6}
To get the sample space, we have to add individual elements of S1 and S2.
This is done as follows.
When S1 = 1 and S2 = {1,2,3,4,5,6}
Sum = 1+1, 1+2, 1+3, 1+4, 1+5, 1+6
Sum = 2, 3, 4, 5, 6, 7
When S1 = 2 and S2 = {1,2,3,4,5,6}
Sum = 2+1, 2+2, 2+3, 2+4, 2+5, 2+6
Sum = 3,4,5,6,7,8
Using the same pattern as used above
When S1 = 3 and S2 = {1,2,3,4,5,6}
Sum = 4,5,6,7,8,9
When S1 = 4 and S2 = {1,2,3,4,5,6}
Sum = 5,6,7,8,9,10
When S1 = 5 and S2 = {1,2,3,4,5,6}
Sum = 6,7,8,9,10,11
When S1 = 6 and S2 = {1,2,3,4,5,6}
Sum = 7,8,9,10,11,12
Writing out the Sum, will give us the sample space.
Sample Space = {2, 3, 4, 5, 6, 7, 3, 4, 5, 6, 7, 8, 4, 5, 6, 7, 8, 9, 5, 6, 7, 8, 9, 10, 6, 7, 8, 9, 10, 11, 7, 8, 9, 10, 11, 12}
The sample space has a total of 36 elements
To calculate the probability of obtaining the sum of 10,
We have to count the number of 10's in the sample space
Number of 10 = 3
Probability = Number of 10 / Number of Sample Space
Probability = 3 / 36
Probability = 1/12
Probability = 0.0833
Hence, the probability of obtaining the sum of 10 is 1/12 or 0.0833
Answer:
3/36 = 1/12
Step-by-step explanation:
Total Outcome - 36
Possible Outcome - 4,6 5,5 6,4 : 3
Which of the following are in form of different squares. NEED HELP PLEASE HURRY!!
Answer:
All but the fourthStep-by-step explanation:
The fourth is a sum (+) not difference (-).
All others are some form of difference of squares:
[tex]169x^4-49 = \left(13x^2\right)^2-7^2[/tex]
difference of square of number 13x² and square of number 7
[tex]36-25b^2=6^2-(5b)^2[/tex]
difference of square of number 6 and square of number 5b
[tex]100-r^2=10^2-r^2[/tex]
difference of square of number 10 and square of number r
[tex]64y^2-81=(8y)^2-9^2[/tex]
difference of square of number 8y and square of number 9
a) Work out the size of AOD.
b) Work out the size of angle ABC and give a reason for your answer.
Thanks in advance :)
Answer:
ABC = 31
Step-by-step explanation:
Angle AOC and ABC have the angle theorem: the angle subtended at the centre of the circle is double the angle at the circumference. Its quite hard to realise the layout, because angle AOC isn't between points A and C. If angle AOC moved to the right side of line AB, it would be easier to see. Of course we cannot do this, otherwise angle AOC wouldn't be the middle anymore. Hope this helped
(a). The angle AOD is 62 degrees.
(b). The angle ABC is 31 degrees.
(a). From given diagram, It is observed that triangle AOD is a right angle triangle.
The sum of all three angles in triangle is equal to 180 degrees.
[tex]\angle A +\angle O + \angle D = 180\\\\90 +\angle AOD +28=180\\\\\angle AOD=180-90-28=62[/tex]
(b). The central angle theorem states that the angle subtended by an arc at the center of the circle is double the angle subtended at any point on the circumference of the circle.
[tex]\angle ABC = \frac{1}{2} \angle AOD\\ \\\angle ABC=\frac{1}{2}*62=31[/tex]
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Find the area Of the shape in the picture.
Answer:
198.4cm squared
Step-by-step explanation:
just did all the math trust me ツ
Answer:198.4
Step-by-step explanation: First of all, I split the figure into two shapes a triangle and a square, then I found the area of the triangle (34.56) and of the square (163.84) and then added them together to reach 198.4
plzzzzzzzzzzzzzzzzz help me
Answer:D
Step-by-step explanation:
Find the unit price rounded to the nearest cent: 8.2 lbs for $6.24.
$0.76
$0.90
$0.79
$0.91
Answer:
0.76
Step-by-step explanation:
6.24/8.2 = 0.76
can u help out with this one
Answer:
2*6+8=20
Step-by-step explanation:
D:20
2 Points
True or false? To begin an indirect proof, you assume the inverse of what you
intend to prove is true.
O A. True
OB. False
SUBMIT
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Which transformations were used to create triangle J'K'L?
Answer:
I believe it's the second one
Step-by-step explanation:
A dilation factor of 1/2 and reflection across the x-axis that triangle JKL is dilated to form triangle J'K'L' which is the correct answer would be an option (C)
What is the Dilation?Dilation is a process for creating similar figures by changing the size.
What is a graph?A graph can be defined as a pictorial representation or a diagram that represents data or values.
Here triangle JKL is dilated to form triangle J'K'L
Given that the coordinates for each of the shapes:
Regular:
J = -8, 6
K = -4, 6
L = -6, 2
Prime notation:
J' = -4, -3
K' = -2, -3
L' = -3, -1
We have to determine the dilation factor.
As we know dilation factor is the ratio of sides in the original image and the image after dilation.
Dilation factor = J'K'/JK
Dilation factor = 2/4 = 1/2
Hence, a dilation factor of 1/2 reflection across the x-axis that triangle JKL is dilated to form triangle J'K'L'
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the girl that wanted to see me pls reply because it’s not popping up lol and yo ur question got deleted
Answer:
is this a question
Step-by-step explanation:
Answer:
ik can u make a question and put ur face on da question so i can see you?????
Step-by-step explanation:
Which expression has (x – a) as one of its factors?
A.–(x + a) – 2
B.–2(x + a)
C.(x – a) + 2
D.2(x – a)
i dont get this at all pls help im so lonely and confused...
Answer:
D
Step-by-step explanation:
When an expression is divided by its factor, there are no remainders.
Let's look at the number 6.
6= 1(6)= 2(3)
Thus, the factors of 6 are 1,2,3 and 6.
This is because 6 is divisible by all those numbers to give no remainders.
Let's look at the question again.
D. 2(x-a) is divisible by (x-a) since
[tex] \frac{2(x - a)}{x - a} = 2[/tex]
A.
[tex] \frac{ - (x + a) - 2}{x - a}[/tex]
This fraction cannot be simplified further
B.
[tex] \frac{ - 2(x + a)}{x - a} [/tex]
This fraction cannot be simplified either
C.
[tex] \frac{(x - a) + 2}{x - a} \\ = \frac{x - a}{x - a} + \frac{2}{x - a} \\ = 1 + \frac{2}{x - a} [/tex]
There is a remainder of 2 since 2 cannot be divided by (x-a). Thus, (x-a) is not a factor of this fraction.
From a standard deck of 52 cards, what is the probability of picking a 5 of diamonds at random from the deck?
A)1/13
B)1/26
C)1/4
D)1/52
Answer:
D)1/52
Step-by-step explanation:
because their is only one 5 of diamonds in each standerd 52 pack of cards
Answer: The dude below or above me is so wrong the answer for this question is c) 1/4.
Have a great day guys. ✌
Step-by-step explanation:
Need help fast please!!!!
Is the point (-3,5) inside, outside or on the circle with equation (x+2)2 + (y-4)2 = 9?
Answer:
Step-by-step explanation:
it’s inside
A bicycle depreciates at a rate of 15%. Theresa bought a bicycle for $250. How much should it be worth 6 years later?
Final answer:
The bicycle should be worth a value of $79.16 after 6 years.
Explanation:
To calculate the value of the bicycle 6 years later, we need to find the depreciated price. The bicycle depreciates at a rate of 15% per year, so after 6 years, it will be worth 85% of its original value.
First, we calculate the value after one year: $250 * 0.85 = $212.50. Then, for each subsequent year, we multiply the previous year's value by 0.85 to calculate the new value.
Therefore, the bicycle should be worth $212.50 * 0.85 * 0.85 * 0.85 * 0.85 * 0.85 = $79.16 after 6 years.
Find the product of 5jk(k – 2j)
Answer:
5jk²-10j²k
Step-by-step explanation:
We simply distribute the 5jk to both terms.
5jk(k) = 5jk²
5jk(-2j) = -10j²k
And then we write them together: 5jk²-10j²k
Answer:
Here is the answer. Please rate it.
2x^2 – 9x = 35
Solve the quadratic equation using the quadratic formula.
Answer:
Step-by-step explanation:
The given equation in standard form can be written as
comparing with the standard equation ,
we observe that
putting the values of a, b and c in the quardatic formula
x=(-b±)÷2a
x=(-(-9)±)÷2(2)
x=(9±)÷4
x=(9±)÷4
x=(9±19)÷4
x=(9+19)÷4 or x=(9-19)÷4
x=28÷4 or x=-10÷4
x=7 or x=-5÷2
A cone has a radius of 5.1 inches and a height of 5 inches.
What is the volume of the cone?
Use 3.14 for pi. Round to the nearest tenth.
Answer:
V = 136.1
Step-by-step explanation:
Use the formula [tex]V = \frac{1}{3}\pi r^{2} h[/tex]
The solution is, the volume of the cone is 136.2inch^3.
What is volume of cone ?The formula for the volume of a cone is ⅓ r2h cubic units, where r is the radius of the circular base and h is the height of the cone.
here, we have,
A cone has a radius of 5.1 inches
and a height of 5 inches.
we know,
Volume = ⅓ r²h
=136.2inch^3.
Hence, The solution is, the volume of the cone is 136.2inch^3.
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<DAC = <BAD
What is the length of AB
round to one decimal place
please help me
Answer:
5.7
Step-by-step explanation:
AD is an angle bisector
ACD and ABD have sides in the same ratio
5.1/3.2 = AB/3.6
AB = 3.6 × 5.1/3.2
AB = 5.7375
Answer:
6.3
Step-by-step explanation:
ANSWER PLS!!!!!!!! EASY!!!!!!!!!
Deborah bought a computer for 25% off the list price. If the list price is $2,428, how much did Deborah spend?
Answer:
$1,821.00.
Step-by-step explanation:
Discount = Original Price x Discount %/100
Discount = 2,428 × 25/100
Discount = 2,428 x 0.25
Discount: $607.00
Final Price: $1,821.00
Answer:
The answer is $1821
Step-by-step explanation:
$2428/4=607
607*3=1821
Compare fraction 2/8 and 7/8
Answer:
2/8 < 7/8
Step-by-step explanation:
Since the denominators are the same, we compare the numerators
2<7 so
2/8 < 7/8
FIFTY POINTS!
Please help me create the rational function that fits this graph!
PLEASE LOOK AT FILE ATTACHED!
WILL GIVE BRAINLIEST! THANK YOU
Answer:
According to the picture, we can have the function form as:
y = ax^2 + bx + c
The y-intercept is (0, 2) => c = 2
=> y = ax^2 + bx + c
The x-intercept is (-2, 0)
=> 4a - 2b = 0 (1)
The graph goes through (1, 1.5)
=> a + b + 2 = 1.5
=> a + b = -0.5 (2)
From (1) and (2)
=> 4a - 2(-a - 0.5) = 0
=> 6a + 1 = 0
=> a = -1/6 => b = -0.5 - (-1/6) = -1/2 + 1/6 = -15/30 + 5/30 = -10/30 = -1/3
=> y = (-1/6)x^2 -(1/3)x + 2
Hope this helps!
:)