Answer:
3/12
Step-by-step explanation:
because because blue is on the spin wheel 3 out of 12 times and 3 is as reduced fraction as you could get because it's odd
Kira is using the figure shown to prove the Pythagorean theorem. She starts by writing the
equation (a + b)2 – 2 = 4( ab) because she knows two equal ways to represent the area
of the shaded region. Which best describes the next steps Kira should take to complete her
proof?
Answer:
B. Simplify both sides of the equation to get [tex]a^2 + 2ab + b^2 - c^2 = 2ab[/tex]; then subtract 2ab and add [tex]c^2[/tex] to both sides of the equation
Step-by-step explanation:
Given
[tex](a + b)^2 - c^2 = 4(\frac{1}{2}ab)[/tex]
Required
Describe the next steps to
First, we open all brackets
[tex](a + b)^2 - c^2 = 4(\frac{1}{2}ab)[/tex]
[tex](a + b)(a + b) - c^2 = 4(\frac{1}{2}ab)[/tex]
[tex]a^2 + 2ab + b^2 - c^2 = 4 * (\frac{1}{2}ab)[/tex]
[tex]a^2 + 2ab + b^2 - c^2 = 2ab[/tex]
At this point, options A and C are incorrect because they didn't present the right result of the expression.
So, we have options B and D to consider
The next step is to subtract 2ab from both sides
[tex]a^2 + 2ab + b^2 - c^2 - 2ab = 2ab - 2ab[/tex]
Collect like terms
[tex]a^2 + b^2 - c^2 +2ab - 2ab = 2ab - 2ab[/tex]
[tex]a^2 + b^2 - c^2 = 0[/tex]
Lastly, to prove the Pythagoras theorem, the equation has to be in form of[tex]a^2 + b^2 = c^2[/tex]; meaning the [tex]c^2[/tex] is added to both sides; See below
[tex]a^2 + b^2 - c^2 = 0[/tex]
Add [tex]c^2[/tex] to both sides
[tex]a^2 + b^2 - c^2 + c^2= 0 + c^2[/tex]
[tex]a^2 + b^2 = c^2[/tex]
At this point, only option B completes Kira's proof
Answer:
It’s B
Step-by-step explanation:
I did the test
Solve for x
HELPP PLEASEE
20 points!
Answer:
[tex]\sqrt{119}[/tex]
Step-by-step explanation:
Basically you need to have the third value of the other triangle to be able to solve for the other triangle. Use pythagorean theorem to find the missing values.
a^2+5^2=10^2
a^2+25=100
a^2=75
square root of 75
a=5[tex]\sqrt{3}[/tex]
5[tex]\sqrt{3}[/tex]^2+x^2=12^2
[tex]\sqrt{119}[/tex]
Answer:
8 1/3, or 8.307
Step-by-step explanation:
First we need to get the measurement of the division line, or the middle line. We can use the Pythagorean Theorem! How exciting!
[tex]10^{2} - 5^{2} = 75[/tex]
Now, you have two options:
A) If you are good at math and can understand shortcuts, there is no need to take the square root of this, as you will instantly have to square it as we use it in the second half.
B) If you need to have something written down for your though process, go ahead and square root 75.
I am going to use option A, but if you need me to explain why we do not have to take the square root, follow along, and if you still do not get it, do not be afraid to ask!
For the second half of the problem, to find x, we must again use the Pythagorean Theorem!
[tex]12^{2} = x^{2} + 75[/tex]
144 - 75 = 69
[tex]\sqrt{69} = 8.30662386292[/tex]
And now we are done, with a final answer of 8.307, or [tex]8\frac{1}{3}[/tex]!
Hope this helps! Math is fun!
Which could be the area of a face of the rectangular prism?
A rectangular prism with a length of 3 meters, width of 4 meters, and height of 2 meters.
5 m2
6 m2
7 m2
9 m2
Answer:
[tex]6m^{2}[/tex]
Step-by-step explanation:
well we are looking for a face of the rectangular prism.
the front face of the rectangular prism is length times height
which is 3 times 2 = [tex]6^{2}[/tex]
if we did any other face, like the side which is width times height ( 8 meters) it is not one of the answers.
so the only face that can be answers is length times height.
therefore the answer is
6m^2
i rly hope this helps!! :)
Answer:
the answer is B .
Step-by-step explanation:
Enter the equation of the circle with the given center and radius.
Center: (0,3); radius: 3
The equation of the circle is
Answer:
x² + (y - 3)² = 9
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k) = (0, 3) and r = 3, thus
(x - 0)² + (y - 3)² = 3², that is
x² + (y - 3)² = 9 ← equation of circle
A manager samples the receipts of every fifth person who goes through the line. Out of 50 people, 4 had a mispriced item. If 1,600 people go to this store each day, how many people would you expect to have a mispriced item?
Answer:
128
Step-by-step explanation:
There are 32 50's in 1600.
So 32x4=128
Which expression shows a way to find 20% of 950? Please I need help thanks.
Answer:
the answer of the expression is 190
Step-by-step explanation:
Given expression as :
20 % of 950
Or, [tex]\frac{20}{100}[/tex] times 950
Or, [tex]\frac{20}{100}[/tex] × 950
Or, 20 × [tex]\frac{950}{100}[/tex]
or, 20 × 9.5
∴ 190
Answer:
1/5 times 950
Step-by-step explanation:
I did this on iready and got it correct
think: 1 cartoon = 1
Answer:
1 cartoon = 1 dance
Step-by-step explanation:
Not sure what the question asks for?
Answer:
SpongeBob
Step-by-step explanation:
Is that what you wanted?
the height of a kicked soccer ball is represented by the function f(x)=8x-2x^2 where x is the number of seconds since the ball was iicked and f(x) is the height of the ball. when will the soccer ball hit the ground?
Answer:
Result at time x = 4 seconds the soccer ball hit the ground.
Step-by-step explanation:
At the moment just before the ball is kicked, it is on the ground and so the height f(x) is zero meters. After the kick, the ball goes through the air and it's path can be described by a (mountain) parabola.
So lets see after how many second (x) the height = 0 once again.
f(x) = 8x-2x^2
f(x) = 0
8x - 2x^2 = 0
Try to write the formula in two terms
-2x * (x - 4) = 0
When a product of two or more terms equals zero, then at least one of the terms must be zero.
Now solve each term = 0 separately, meaning, solve as many equations as there are terms in the product.
Any solution of term = 0 solves product = 0.
Solve the first term:
-2x = 0
Multiply left an right from the = singn with the factor -1 gives this outcome:
2x = 0
x = 0
Solve the second term:
x-4 = 0
x = 4
Result at time x = 4 seconds the soccer ball hit the ground.
x = 4
x = 0
What is the correct answer..
Answer:
64 feet
Step-by-step explanation:
To find the height of the kite we use sin trigonometric ratio.
Let the height of the kite from the ground be x feet.
[tex] \therefore \: \sin 40 \degree = \frac{x}{100} \\ \\ \therefore \: 0.6427876097= \frac{x}{100} \\ \\ \therefore \: 0.6427876097 \times 100= x \\ \\ \therefore \:x = 64.29 \\ \\ \therefore \:x = 64 \: feet[/tex]
i need your help please asap
Step-by-step explanation:
First we will calculate the total amount spent on each website so
Website A = 49.95 + 4.39 = 54.34
Website B = 47.68 + 6.95 = 54. 63
So website A is cheaper by €0.29
sandra cut her sandwich into 3 equal parts. she ate 1 part for lunch. what fraction of the sandwich did sandra eat for lunch?
Arial says that, for any pair of linear relations, if the coefficients of the y-terms are equal and the coefficients of the x-terms are equal, the graphs of the two lines will be parallel.
a. Give an example for which Arial's claim is true.
b. Give an example for which Arial's claim is false.
c. Suggest an improvement to Arial's claim.
Answer:
a. Give an example for which Arial's claim is true.If linear relations have equal coefficient about the independent variable, then those linear relations are parallel. For example, [tex]y=3x+4[/tex] and [tex]y=3x-5[/tex].
Notice that the coefficient of the dependent variable must be also equal, otherwise it would change the slope of the expression and they wouldn't be parallel.
b. Give an example for which Arial's claim is false.The statement is not false.
c. Suggest an improvement to Arial's claim.An improvemente would be that the constant term no need to be equal too, between linear relations, because they can be at "differecent heights", sort of speak.
One endpoint of a line segment is (–6, 4), and the midpoint of the segment is (–2, 7). What are the coordinates of the other endpoint?
A. (2, 10)
B. (−10, 1)
C. (3, 11)
D. (−10, 18)
Answer:
A. (2, 10)
Step-by-step explanation:
If there are two points (x1,y1) and (x2,y2) on a coordinates plane then
coordinates of the midpoint is given by (x1+x2)/2, (y1+y2)/2
__________________________________________________
Given
one endpoint is (–6, 4) and midpoint is (–2, 7)
let coordinates of other endpoint be (x,y)
now if one endpoint is (–6, 4) and other endpoint is (x,y)
then coordinates of midpoint is ((-6+x)/2 , (4+y)/2)
while the coordinates of midpoint given is (–2, 7)
thus (–2, 7) should be equal to ((-6+x)/2 , (4+y)/2)
-2 = (-6+x)/2 and 7 = (4+y)/2
=> -2*2 = -6+x => 7*2 = 4+y
=> -4 = -6+x => 14 = 4+y
=> -4+6 = x => 14-4 = y
=> x = 2 => 10 = y
Thus, coordinates of the other endpoint is(2,10)
While shopping at a clearance sale, Samantha finds a $60.00 dress on sale for 25% off. Samantha also has a 50% off coupon
Which statement correctly summarizes her savings?
Samantha will save $45.00 because the two sales will combine for 75% off the original cost.
Samantha will save $37.50 because she must first find the 25% sale price before taking the extra 50% reduction
Samantha will save $22.50 because she must first find the 25% sale price before taking the extra 50% reduction
Samantha will save $15.00 because the two sales will combine for 75% off the original cost
PLEASE HELP!!!!
Answer:
Samantha will save 45 dollars because the two sales will combine for 75 percent off the orignial cost.
Step-by-step explanation:
50 + 15 equals 75
75 percent off of 60 equals 15 dollars
60-15 equals 45 dollars so she saved 45 dollars.
Answer:
Samantha will save 45 dollars because the two sales will combine for 75 percent off the orignial cost.
Step-by-step explanation:
50 + 15 equals 75
75 percent off of 60 equals 15 dollars
60-15 equals 45 dollars so she saved 45 dollars.
Step-by-step explanation:
1. A three-dimensional figure that has one vertex and one circular base is known as a:
Answer:
cone
Step-by-step explanation:
Use the population data set of the price, in dollars, of a milkshake at five different restaurants: 2, 4, 6, 9, 14.
The mean is 7.
Which of the following is the approximate standard deviation for the set?
Answer:
The standard deviation of the set is 4.2
Step-by-step explanation:
The standard deviation (sd) for the set is calculated as follows:
sd² = [(x1 - mean)² + (x2 - mean)² + ... ]/N
where x1, x2, et cetera are the values in the set and N is the number of elements in the set. Replacing with data:
sd² = [(2 - 7)² + (4 - 7)² + (6 - 7)² + (9 - 7)² + (14 - 7)²]/5
sd = √17.6
sd = 4.2
What’s the missing leg length
Answer:
a = 80
Step-by-step explanation:
This is a right triangle so we can use the Pythagorean theorem
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
a^2 + 60^2 = 100 ^2
a^2 +3600=10000
Subtract 3600 from each side
a^2 = 10000-3600
a^2 =6400
Take the square root of each side
a = sqrt(6400)
a = 80
What is the surface area of the cylinder with height 5 m and radius 8 m?
Round your answer to the nearest thousandth.
Answer: 653.45m²
I got it right thats why
which value makes the equation
3x - 6 = 36 true?
a) 10
b)12
c)14
d)16
Answer:
C) 14
Step-by-step explanation:
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
First, add 6 to both sides:
3x - 6 (+6) = 36 (+6)
3x = 36 + 6
3x = 42
Next, divide 3 from both sides:
(3x)/3 = (42)/3
x = 42/3
x = 14
c) 14 is your answer.
~
What is the slope of a line that is parallel to the line shown?
Question and options in images below.
Answer: m= 2/3
Step-by-step explanation:
4/6 simplify into 2/3
Please help!!! i attached the problem.
Answer:
y>7.5
line under inequality sign.
Step-by-step explanation:
Which number is divisible by 3?
A 137
B 136
C 138
D 41
Answer:
C (148)
Step-by-step explanation:
All numbers divisible by 3:
The numbers equal to something divisible by 3
ex:
138=
1+3+8= 12 which is divisible by 3, so 138 is divisible by 3
Answer:
138
Step-by-step explanation:
We know that if the sum of the numbers that make up 138 is divisible by 3, then 138 is divisible by 3. Note: If you divide 138 by 3, you get 46 which is a whole number.
PLEASE HELP I WILL MARK BRAINLIEST
Right to expressions that are equivalent to the expression below.
(9-c) + (9-c) + (9-c) + (9-c)
Answer:
36-4c
plz mark brainliest
The label that wraps around a a can is 4 inches long. How wide is the can?
1.273 is the answer
bc the label is circumference and the width would be diameter
so circumference divided by pi is diameter
so 4 ÷ 3.14 = 1.273
Complete the equation to represent finding x, the greater integer.
x(x – ) = 143
Answer:
x would equal -11 or 13
Step-by-step Explanation:
x(x - 2) - 143 = 0
x^2 - 2x - 143 = 0
-2x + x^2 = 143
-143 + (-2x) + x^2 = 0
(x - 13)(x + 11)
x - 13 = 0
Add 13 to both sides
x = 13
x + 11 = 0
Subtract 11 from both sides
x = -11
Find the difference. Write your answer in standard form.
(5x3−3x+6)−(2x2−4x+8)
The difference is _______
Answer: 5x^3 + x-6
Step-by-step explanation:
HELP ASAP FIRST CORRECT GETS BRAINLIEST
Answer:
Right
Step-by-step explanation:
Answer: the first one is x less than 468 and the second one is and open circle at 468 and the third one is go left
Step-by-step explanation:
it would be a open circle if it wasnt a line under it and it would move the oppisite which is the left
Please Help!!!!!
I need the answer!!!!
Answer:
It's the first one
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
x=y
they are the same numbers
Drake rolls two fair number cubes.
ANN
1
2
| 3
4
5
6
1
1
2
3
4
5
6
2 3 4 5
2 3 4 5
4 6 8 10
6 9 12 15
8 12 16 20
10 15 20 25
12 18 24 30
6
6
12
18
24
30
36
What is the probability that the product of the two numbers Drake rolls is less than 14? Enter your answer
as a fraction in simplest form
The probability that the product is less than 14 is
Answer:
23/36
Step-by-step explanation:
In the figure attached, the possible outcomes are shown. We can see that there are 6*6 = 36 total outcomes, 23 of them are less than 14. Then the probability that the product of the two numbers Drake rolls is less than 14 is 23/36
WILL MARK BRAINLIEST! A bag has 4 blue marbles, 6 green marble and 3 red marbles in it. What is the ratio proportion of pulling a red or green marble from the bag ? *
Answer:
9:13
Step-by-step explanation: