The table shows the favourite colour of 400 people.
Colour
Frequency | Angle in
Red
100
Blue
100
Green
150
Yellow
50
Complete the table and draw a pie chart
to represent this information.
Note: Please draw your pie chart in a 'clockwise' direction from the line already drawn
and follow the order from the table (Red, then Blue etc...).
Answers
The favourite colours represent the following angles: red (90°), blue (90°), green (135°) and yellow (45°).
Rule of Three
It's a math tool for solving problems about proportion. You can relate more than 2 variables and from the proportion, it's possible to find an unknown number.
Here you can apply the rule of three for finding the angle of each frequency. The total of people (400) represents the total angle of a circumference which is 360°.
For colour - red400 ----------- 360°
100 ------------ r
400r=360*100
400r=36000
r=36000/400
r=90°
For colour - blue400 ----------- 360°
100 ------------ b
400b=360*100
400b=36000
b=36000/400
b=90°
For colour - green400 ----------- 360°
150------------ g
400g=360*150
400g=54000
g=54000/400
g=135°
For colour - yellow400 ----------- 360°
50------------ y
400y=360*50
400y=54000
y=18000/400
y=45°
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Related Questions
Find the measure of angle x in the figure below.
Answers
16,4,1,...
Find the 6th term.
Answers
Answer:
1/64
Step-by-step explanation:
You divide by 4 each time.
It goes 16,4,1,1/4,1/16, 1/64 and so on
1. Is it proportional?
2. If so, what is the constant of
proportionality? (unit rate)
3. Write an equation that
expresses the table in the
form
Y = KX
Answers
Answer:
Y=5(x) Yes it is porportional.
Step-by-step explanation:
So lets look at the graph.
We first have 1x = 5y
Well, that makes it seem like for each x there are 5 y.
Lets see the other values:
2x = 10y
Divide both sides by 2 tog et x alone:
1x=5y
Again, for each x, there are 5y.
This is true for each one:
3x=15y
=
1x=5y
4x=20y
=
1x=5y
5x=25y
=
1x=5y
and finally:
6x=30y
=
1x=5y.
So yes, this is poroportional.
It can be shown as x=5y, since for a single x, there are 5 y's.
Hope this helps!
A kids toy ball is in the shape of a sphere and has a diameter of 9 millimeters. What is the volume of the toy ?
Answers
Answer:
381.7 ... hope this helped
Step-by-step explanation:
V=
4
3
π
r
3
d=
2
r
Solving forV
V=
1
6
π
d
3
=
1
6
π
9
3
≈
381.70351
Answer:
381.7 mm cubed
Step-by-step explanation:
To find the volume of a sphere is V=4 /3πr³
----------
Since they give you the diameter, you have to divide by 2, so:
9 ÷ 2 = 4.5
When you plug in 4.5, you get you answer.
---------
Have a good day :)
perry bought 5 nectarines for $4. how many nectarines can amanda buy if she has 16$
Answers
I NEED THE ANSWER IN THE NEXT MINUTE
Answers
Step-by-step explanation:
the area of a circle: pi r^2
area of a rectangle: L x W
so youd write and solve 12 x 12 - pi (12/2)^2
Casey wants to buy a gym membership. One gym has a $100 joining fee and costs $30 per month. Another gym has no joining fee and costs $55 per month. When would Casey pay the same amount to be a member of either gym? How much would he pay?
Answers
Answer:
4 months
Step-by-step explanation:
Simplify:
- 5 1/4 -( -7 1/2)
Answers
Answer:
-5 1/4-(-7 1/2 is simplified to 9/4
Step-by-step explanation:
-5 1/4 is simplified to -21/4 -(-7 1/2
-7 1/2 is simplified to -15/2 and two negatives make a positive.
so the equation now becomes
-21/4+15/2
15/2 times 2 is 30/4
-21/4+30/4 is 9/4
The answer is 9/4
What is the scale factor?
Answers
Answer:
I send you a pic
Step-by-step explanation:
is that help?
Chad owes his mother $150. He plans to pay back $15 per week. Write an algebraic expression to show how much Chad still owes his mother based on the number of weeks.
Answers
Answer:
Step-by-step explanation:
150 - 15w
where w is the number of weeks he payed his mother the $15
what would you do to rationalize the denominator and simplify [tex]\frac{5}{\sqrt{2} }[/tex]
Answers
Answer:
(5√2) / 2
Step-by-step explanation:
Multiply
(5 / √2) * (√2 / √2) = (5√2) / 2
hope this will help you
good luck
Please answer correctly I’ll mark you brainlist!
Answers
Answer: 5 cm
Step-by-step explanation:
since the last step in finding area of a triangle is divide by 2, multiply the area by 2 to get the original number
30 x 2 = 60
area/base = height
60/12 = 5
Find the student’s error in solving the following inequality.
31 < –5x + 6
25 < –5x
–5 < x
The student should have added 6 to both sides instead of subtracting it.
The student divided 25/–5 incorrectly.
The student should have switched the direction of the inequality sign to get –5> x for a final answer.
Answers
Answer:
The student should have switched the direction of the inequality sign to
get –5 > x for a final answer.
Step-by-step explanation:
When multiplying or dividing an inequality by a negative "flip" the inequality sign
The student should have switched the direction of the inequality sign to
get –5 > x for a final answer.
---------------
Note:
For a more conventional appearance the entire inequality can be flipped to
–5 < x
PLEASE HELP I WILL MARK YOU BRAINLIEST
(1)Mai had $14.50. She spent $4.35 at the snack bar and $5.25 at the arcade. What is the exact amount of money Mai has left?
(2)Kristina rides her bicycle 384.25 miles over 29 weeks too and from her job. How many miles does she ride each week to and from her job if she rides the same amount each week?
Answers
Answer:
question 1 she has 4.90 dollars left question 2 she rides 13.25 miles every week
PLEASE HELP, WILL GIVE BRAINLIEST
no links pls, i really need help
Answers
Answer:
4 units to the right
Step-by-step explanation:
the bigger units subtracted by the smaller units and the direction it is going
Answer:
I'm pretty sure the answer is D because a net force can't be just balanced to one side if there are two different forces, I hope this helps.
Step-by-step explanation:
Samantha measures the perimeter of a common shape.
One of the sides is 6 inches long, and the perimeter is 24 inches.
If all of the sides are the same length, what shape does Samantha measure?
Answers
Answer:
Square
Step-by-step explanation:
24÷6
=4
Squares have 4 sides
Can you help me please
Answers
Answer:
∠1 = 48
∠2 = 132
∠4 - 132
Step-by-step explanation:
∠3 and ∠1 are vertical angles
vertical angles are congruent ( equal to each other )
So if ∠3 = 48° then ∠1 also = 48°
∠3 and ∠4 are supplementary angles
supplementary angles add up to equal 180°
Hence, ∠3 + ∠4 = 180
48 + ∠4 = 180
180 - 48 = 132
Hence, ∠4 = 132
∠4 and ∠2 are vertical angles
Like stated previously vertical angles are congruent
Hence, ∠2 = 132
Select the true statement. A. Neither function is even. B. Only function f is even. C. Only function g is even. D. Both functions are even.
Answers
Answer:
The answer is "Option C".
Step-by-step explanation:
The graph of the even function will have both ends pointed in the same direction, while the graph of the odd function will have both ends pointed inside the reverse way. Furthermore, as the y-axis approaches, and also regular expression graph becomes symmetric. The graph of an unusual function, on either hand, is symmetric around the origin and also has rotational symmetry around the origin. They could see that the graph of function g meets a function requirement by looking at it. That graph of function f, but on the other hand, is not symmetric about its y-axis, implying that function f is not even. As both a result, g is a function that is even.
Answer:
Only function g is given
Step-by-step explanation:
In at least five (5) sentences, explain the effects of changing the “m" and the "b" in y=mx+b.
What happens when we use negative numbers for m? What happens when we use negative
numbers for b?
Answers
I hope this is what you were looking for! I kinda did it off the top of my head so of course feel free to change anything!!
Type the equation of the linear function that passes through the two given points:
(2;9) (4,17)
(3; -17) (-3;13 )
plz help
Answers
Answer:
Slope-intercept form of the line:
y = mx + bPoint-slope form of the line:
y - y1 = m(x - x1)------------------------------------
Points:
(2;9) (4,17)The slope:
m = (17 - 9)/(4 - 2) = 4The line:
y - 9 = 4(x - 2)y = 4x - 8 + 9y = 4x + 1----------------------------------
Points:
(3; -17) (-3;13 )The slope:
m = (13 - (-17)) / (-3 - 3) = 4/ -6 = -2/3The line:
y - (-17) = -2/3(x - 3)y = -2/3x + 2 - 17y = -2/3x - 15true or false dilations always increase the length of time segments
Answers
Answer:
False, The dilation could decrease as well as increase the length of figure or line segment depending on the scale factors it's being dilated by.
Hope this helps!
Solve the factorial.
The factorial \(4!\) is equal to
Answers
Answer:
4! = 24
Step-by-step explanation:
[tex]4! = 4 * 3 * 2 * 1 \\\\4! = 12 * 2 * 1\\\\4!= 24 * 1\\\\\boxed{4!=24}[/tex]
Hope this helps.
Answer:
24
Step-by-step explanation:
I just did the same lesson and got it right
Plz help on this as soon as possible
Answers
Jack is selling used computers. he is paid $15/h plus a 5% commission on sales. What dollar amount of computer sales must jack make to earn $1000 in a 40-h work week.
Answers
Answer:
8000
Step-by-step explanation:
Jack sold worth $8000 computer sales in the last week.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
Given, Jack is selling used computers. He is paid $15/h plus a 5% commission on sales.
He made $1000 in a 40-h week,
∴ He made $(15×40) = $600 for his work hours and $(1000 - 600)
= $400.
So, $400 dollars in 5% of the total sales and assuming he made a sell of $x.
∴ (5/100)×x = 400.
0.05x = 400.
x = 400/0.05.
x = 8000.
learn more about percentages here :
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Circle A has center of (4, 6) and a radius of 5, and circle B has a center of (1, 0) and a radius of 15. What steps will help show that circle A is similar to circle B? (5 points) Group of answer choices Reflect circle A over the y-axis. Dilate circle A by a scale factor of 3. Translate circle A using the rule (x − 3, y + 6). Rotate circle A 180° about the center.
Answers
Answer:
Divide and then multiply the smaller ratio to get an equal ratio to the first one
Step-by-step explanation:
It helps a lot with algebra
Answer:
Dilate circle A by a scale factor of 3.
Step-by-step explanation:
In order to show if two triangles are similar you have to translate and dialate one of the triangles to compare it to the other one. So A and D are not it. The formula for C is incorrect so therefore the answer is B. Also i took the test :D
Is this shape a polyhedron? If it is what is the name of the shape?
Answers
Find the surface area of the square pyramid if the slant height is 13 mm.
A. 264 mm
B. 288 mm
C. 335 5 mm
D. 407 mm
Answers
Simple Question:
Find the surface area of the square pyramid if the slant height is 13 mm.
Options:
A. 264 mm
B. 288 mm
C. 335 5 mm
D. 407 mm
Answer:
A) 264mm
Step-by-step explanation:
11 x 13 = 143 = 264mm
Hi guys it's nothing much but please help me out for braniest and 50 points NO LINK'S thank you
Answers
Answer:
Step-by-step explanation:
1) A similar triangle must have the same ratios of sides. Triangle ABC and triangle LNM are similar because all the sides of LNM are 1/2 of the sides of ABC. As they are all in a 1:2 ratio, the triangles are similar.
2) ADE and ABC are similar because each angle is the same. Angle D and Angle B are the same because they are shown as the same with the same dot symbolization. Angle E and C are the same because they are shown as the same with the same curvy angle representation. ADE and ABC share A as the same angle, so all three angles are the same.
5) As triangles ABC and EDC are similar, the sides must have the same ratio. ED is similar to AB, EC is similar to AC, and CD and BC are similar. First we find the ratio. The only pair of similar lines are EC and AC, so we have to find the ratio from those two lines. EC is 15 and AC is 10/3, so we do 15 divided by 10/3 and we get 9/2. Therefore, the ratio is 9/2. Now we can find x and y. We can first look at ED and AB. Ed is 12 and AB is y. We know that it must have the same ratio of 9/2, so 12/y must equal 9/2. We can do proportions. 12/y = 9/2, 9y = 24 (you multiply the numbers diagonally). So, we get y = 8/3. Now we can get x the same way. BC and CD are similar, and so x/5 must equal 9/2 as well. We use proportions again and we have x/5 = 9/2, so 45 = 2x and x = 45/2.
Answer:
4.ADE /// ABC (same <s)
<D = <B (corresponding <s)
<E = <C (corresponding <s)
ADE and ABC share A as the same < so all <s are = (AAA )
can i get the answer and the explination on how to do this plz? thank uuu =) NO LINKS PLZ
Answers
Answer:
The answer is 94.5
Step-by-step:
This is actually quite simple. Although, in order to do this you will need a calculator. First, you identify which trigonomic function you will use in order to find the value of x. for this problem you need to use the COS function. The equation for this is COS67= 67/x. Because you are trying to find x you would multiply each side by x. now the equation is xCOS67= 67. because you still can't find the value of x by doing this you will need to get x by itself. To get x by itself divide each side by COS67. the equation is now x= 94/ COS67. This is where the calculator comes in. On the calculator enter 94 divided by 67 then COS function. This gives you the measure of RS.
"Y 1
Themba deposited R100 000 in the bank which offers 5,5% per annum simple interest
His intention is to buy a car after 4 years
1.1
Write interest rate as decimal per annum
Answers
Answer:
1 ramdhjajdjejjejdnsns