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°
Read more about the rule of three here:
brainly.com/question/24514897
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A group of mothers answered yes or no to the survey questions below.
Do you have 3 or more children?
Do you own a minivan?
The same mothers responded to both questions. The results are shown in the first table.
Of the 43 mothers with 3 or more children 26 of them own a minivan.
Complete the two way frequency table to represent the correct mothers for each cell of the table.
Answer:
To draw a two way table for the own a mini van table as it says 26 own a minivan for people with 3 or more children is subtraction from the given full total 37;
37 - 26 = 11 and finding two or more children is 51- ?= ? see below ans 51- 11 = 40 for those that don't own a mini van.
Then its quick addition to find 40+17 = 57
See given answers in question already easy to answer in bold before doing the sums.
one or 2 children | 3 or more children Total
Do own a mini van 11 26 = 37
Do not own a mini van 40 17 = 57
Total 51 43 = 94
If cos A = 1/2, then what is the positive value of cos 1/2 A, in simplest radical form with a rational denominator?
Answer:
[tex]\cos(\frac{1}{2}A) = {\frac{\sqrt{3}}{2}[/tex]
Step-by-step explanation:
Given
[tex]\cos A = \frac{1}{2}[/tex]
Required
Determine [tex]\cos(\frac{1}{2}A)[/tex]
To do this, we make use of the following identity
[tex]\cos(\frac{1}{2}A) = \sqrt{\frac{\cos A+1}{2}}[/tex]
Substitute: [tex]\cos A = \frac{1}{2}[/tex]
[tex]\cos(\frac{1}{2}A) = \sqrt{\frac{\frac{1}{2}+1}{2}}[/tex]
Solve the numerator
[tex]\cos(\frac{1}{2}A) = \sqrt{\frac{\frac{2+1}{2}}{2}}[/tex]
[tex]\cos(\frac{1}{2}A) = \sqrt{\frac{\frac{3}{2}}{2}}[/tex]
Rewrite as:
[tex]\cos(\frac{1}{2}A) = \sqrt{\frac{3}{2} * \frac{1}{2}}[/tex]
[tex]\cos(\frac{1}{2}A) = \sqrt{\frac{3}{4}}[/tex]
Take square roots
[tex]\cos(\frac{1}{2}A) = {\frac{\sqrt{3}}{2}[/tex]
A man buys a car for 100k and sells it for 130k. He then buys the same car for 160k and sells it for 170k. Does he make a profit or a loss.
Which function is represented by the graph below?
graph begins in the second quadrant near the x-axis and increases slowly while crossing the ordered pair 3, 1. Then the graph begins to increase quickly throughout the graph
(5 points)
f(x) = 3x
f(x) = 3x − 3
f(x) = 3x + 3
f(x) = 3(x − 3)
help me w this plssss
Answer:
It is none of the above. The actual answer is 215
Step-by-step explanation:
8.6*50/2=215
Answer:
none of these
Step-by-step explanation:
on map 8.6 cm
scale 2cm: 50mi.
on reality if you divide the 8.5 cm into 2 cm portions and for each you have 50 mi. then you get the result
(8.6 /2)*50 = 215 mi.
need help ace plsss plssssssssssss
A -22
b 4.67
c 8.5. d 31 e 53
Answer:
A. -22
hope this helps
have a good day :)
Step-by-step explanation:
4x-2(x-5)=-8+4x+12 answer plz help #lovedafans
Answer:
x = 3
Step-by-step explanation:
Answer:
The answer is x = 3
Anthony needed to complete some complex tricks in order to win the 17 and Under State Skate Boarding Championship in Orlando FL. In an attempt to complete a McTwist (a 540-degree burni performed on a cap) and to maximize his air time, Anthony rode his skateboard up a specially designed one of a kind ramp. Unfortunately, he did not make it to the other side of the ramp and crashed his skateboard. His height zoove the ground in feet is a function of his horizontal position from the top of the ramp, also measured in feet The function that relates his height to his distance is h(x)=-x²+2x+8. How far above the ground is the top of the ramp? F a b. How far away from the ramp was Anthony at his maximum height What is his maximum height? C. At his highest point, how high was he above the top of the ramp? d Whea bestemowlad het veled horizontal?
Answer:
did you get the answer yet I have the same question
Answer: a. 8 feet
the first question in part b is 1 and the second part is 9. ( or you could just put 1,9) c. 1 foot taller d. -2 and 4
Step-by-step explanation: you get answer A by looking at the C- value of the equation( in this case it’s 8)
you get the first answer to B by using the axis of symmetry formula -b/2(a) and that equals 1. You get the second answer to B by plugging in 1 into the equation..solve and get 9. So your answers in total should be (1,9)
For part C all you do is subtract the top of the ramp.. which is 8 from your vertex. in other words you do 9-8 and get 1 as your answer for C
Lastly, for D you use the quadratic formula ( or use photo math) and get answers -2 and 4.
If you’re also having problems on part E .. all you have to do is place a dot at point -2, place dot at point 4, place a dot at 8 on the Y AXIS, then place a dot at point (1,9) lastly, connect the dots with a line and the graph should look like an upside down U or V( whatever you think it looks like)
I hope this helped you guys!!
Joan ran less than 18 miles last week. Which of the following inequalities represents the number of miles Joan ran last week?
Answer:
36 miles
Step-by-step explanation:
18 + 18 = 36
I didn't get a lot of information so my apologies if wrong.
Answer:
Joan<18
Step-by-step explanation:
These symbols indicate the following:
< less than
> greater than
= equal to
If Joan ran less than 18 miles, you must write the inequality just as you would say it. Therefore, Joan < 18 is the correct inequality.
$35,200 at 2% for 2 years
Answer:
Um 1408
Step-by-step explanation:
2% of 35,200 is 704 and 304*2= 1408
Answer:
36622.80
Step-by-step explanation:
I don't know how to do it I used an app on my phone
HELP WITH MATH THANKSSSSSSS
Answer:
A. (7,8,9)
Step-by-step explanation:
A. If, 7^2+8^2=9^2, then it is a pythagorean triplet.
But, 49+64 is not equal to 81.
Hence, the first trio is not a pythagorean triplet.
Jada invest $590 in a money market account. Her account pays 7% simple interest. How much interest will Jada earn after 4 years of simple interest? What is the new balance of the account after the four years?
Answer:
165.2
Step-by-step explanation:
7%x4=28
28 percent of 590 = 165.2
which divisor of -2x^3 - 5x^2 + 4x - 2 results in a remainder of -14
Answer:
[tex]f(x) = -2x^3 -5x^2 +4x -2\\option 1 : x+2 \\f(-2) = -2(-2)^3 -5(-2)^2 +4(-2)-2 = 16 -20-8-2= -14\\\\\\option 2: x+3\\f(-3) = -2(-3)^3 -5(-3)^2 +4(-3) - 2 = 54 -45 -12-2 = -5\\\\option 3: x-2\\f(2) = -2(2)^3-5(2)^2-4(2)-2=-16 -20-8-2=-46\\\\option4 :x-3\\f(3) = -2(3)^3 - 5(3)^2-4(3)-2 = -54-45-12-2=-113\\[/tex]
option 1: x + 2
Sam volunteers at an animal shelter. He created a line plot to show the weights in pounds of the kittens at the shelter.
Line plot named as ALTDCWeights of Kittens in ShelterALTDC shows a number line from half to two and half. The number line is divided into 4 equal parts. 3 dots on half, 2 dots on 1 and 1 dot on one and half is given.
What is the total weight of the kittens in the shelter?
Answer:
The total weight is 5kg
Step-by-step explanation:
Given
See attachment for box plot
Required
Determine the total weight of the kitten
First, we represent the plot in the following table where the number of dots represent the frequency.
So, we have:
[tex]Weight \to Frequency[/tex]
[tex]\frac{1}{2} \to 3[/tex]
[tex]1 \to 2[/tex]
[tex]1\frac{1}{2} \to 1[/tex]
[tex]2 \to 0[/tex]
[tex]2\frac{1}{2} \to 0[/tex]
Multiply the weight by the frequency, then add up the result
So, we have:
[tex]Total = \frac{1}{2} * 3 + 1 * 2 + 1\frac{1}{2} * 1 + 2 * 0 + 2\frac{1}{2} * 0[/tex]
[tex]Total = 1\frac{1}{2} + 2 + 1\frac{1}{2} + 0 + 0[/tex]
[tex]Total = 1\frac{1}{2} + 2 + 1\frac{1}{2}[/tex]
Express as improper fraction
[tex]Total = \frac{3}{2} + 2 + \frac{3}{2}[/tex]
Take LCM
[tex]Total = \frac{3+4+3}{2}[/tex]
[tex]Total = \frac{10}{2}[/tex]
[tex]Total = 5kg[/tex]
The rabbit population in a certain area is 200% of last year’s population. There are 1,100 rabbits this year. How many were there last year?
Answer:
1100/2 = 550
Step-by-step explanation:
A percent increase of 200% is equal to multiplying by 2. Therefore, we can divide by two to reverse the increase.
please help asap!
thanks
Answer:
Option B
Step-by-step explanation:
By applying Pythagoras theorem in the given right triangle,
(Hypotenuse)² = (leg 1)² + (leg 2)²
Now substitute the measures of each side in the formula,
(13)² = x² + (12)²
169 = x² + 144
x² = 169 - 144
x² = 25
x = √25
x = 5
Therefore, Option B will be the correct option.
When tossing a 6-sided die, the probability of tossing a multiple of 3 is 1/3. If you toss the die 70 times, about how many times would you expect to toss a multiple of 3?
Answer:
23.33 (rounded down 23)
Step-by-step explanation:
What does the slope of the equation represent?
Answer:
[tex]m=-\frac{1}{2}[/tex]
Step-by-step explanation:
In the equation
[tex]y=mx + b[/tex]
m is a slope,
find the volume of the rectangular prism below 3.6ft, 2.7ft, 8.1ft
The density of a certain material is such that it weighs 2 grams per milliliter of
volume. Express this density in kilograms per pint. Round your answer to the nearest
hundredth.
Answer: 0.95
hchfcfhcxfjxgdxgfjvgcfhchcjg
Answer:
1.00
Step-by-step explanation:
1.00
A 36-foot guy wire is attached to a utility pole to provide support for the pole. The wire forms a 60° angle with the ground. How high up the pole is the wire attached? Write your answer in simplest form. The wire is attached to the pole feet above the ground.
Answer:
20 ft is where it's attached
PLS HELP WITH THIS QUESTION!!!!! I’ll give brainliest
Answer:
∠P = 21
Step-by-step explanation:
angle P is an inscribed angle and arc RQ is the arc it intercepts
The measure of an inscribed angle is equal to half the measure of the arc it intercepts.
Hence, ∠P = [tex]\frac{1}{2}[/tex] ( arc RQ )
So if arc RQ = 42°
Then ∠P = 42/2
42 / 2 = 21
Hence, ∠P = 21°
pls help!!
1. 5n + 10 = 20 n = ?
2. 36 = 12m m = ?
3. 4a - 12 = 28 a = ?
4. q/5 = 10 q = ?
Answer:
here you go! :))
n= 2
m=3
a= 10
q= 50
what should be subtracted from -5/3 to get 5/6
Answer:
-3/4-x=5/6
x=-3/4-5/6
x=-3*6-5*4/6*4
x=-18-20/24
x=-38/24
x=-19/12
Step-by-step explanation:
hope it helps
stay safe love u
btw can i get brainliest
Answer:
-5/3 - x = 5/6
-x = 5/6 +5/3
-x/-1 = (5/2)/-1
therefore x = -5/2
therefore -5/2 must be subtracted
Ethan rolls the number cube and then spins the arrow on the
spinner. A list of all the possible outcomes is shown.
3
1
2
2
{(1,1).(1,2).(1.3). (2,1).(2, 2), (2,3).(3,1),(3,2).(3,3).
(4,1).(4.2).(4.3).(5,1).(5,2).(5,3).(6, 1).(6,2).(6,3)
3
What is the probability that the sum of the two numbers is odd, given that the product is 6?
A 1/3
B. 1/2
C. 2/3
D. 1
Answer:
I myself would say the answer is C.Step-by-step explanation:
Plz help I will mark brainliest plz
Answer:
The equation is [tex](x - 2)^2 + (y + 7)^2 = 9[/tex]
Step-by-step explanation:
1) A boat traveled 448 miles downstream and back. The trip downstream took 14 hours. The trip
back took 16 hours. What is the speed of the boat in still water? What is the speed of the
current?
A) boat: 13 mph, current: 4 mph B) boat: 30 mph, current: 2 mph
C) boat: 45 mph, current: 1 mph D) boat: 20 mph, current: 4 mph
Answer:B
I think we are in the same class lol
Step-by-step explanation:448 divided by 14= 32
448 divided by 16= 28
B=speed of boat in water
Y= Speed of current
B+y=32
B-y=28
32 + 28 =60
60 divided by 2 = 30
32 -30 =2
B=30
Y=2
Add my discord if you need more help Snapple#0141
A boat traveled 448 miles downstream and back. The trip downstream took 14 hours. The trip back took 16 hours. B) boat: 30 mph, current: 2 mph.
How to find the speed of an object?If the object is going linearly, and at a constant speed, then the speed of that object is given by the distance it traveled to the time it took to travel that distance.
If the object traveled D distance in T units time, then that object's speed is
[tex]Speed = S = \dfrac{\: Distance \: traveled}{\: Time \: taken} = \dfrac{D}{T} \: \rm unit \: length/unit \: time[/tex]
A boat traveled 448 miles downstream and back.
The trip downstream took 14 hours. The trip back took 16 hours.
[tex]S = \dfrac{D}{T} \: \rm unit \: length/unit \: time[/tex]
Speed of downstream
448/ 14= 32
Speed of back stream
448 / 16= 28
B = Speed of boat in the water
Y = Speed of current
The system of equation
B + y = 32
B - y = 28
32 + 28 =60
60 / 2 = 30
So,
32 - 30 =2
B = 30
Y = 2
Learn more about motion in stream here:
https://brainly.com/question/14297576
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Roy is in a hot air balloon that has just taken off and is floating above its launching point.
Dirk is standing on the ground, 7 meters away from the launching point. If Roy and Dirk are
10 meters apart, how high up is Roy? If necessary, round to the nearest tenth.
_____ meters
Please and thank you!
No links!!!!
Answer:
7.1 meters
Step-by-step explanation:
Use the pythagorean theory:
10 would be the hypotenuse
7 would be one of the legs
and x (or whatever variable you'd like) would be the other leg.
7^2+x^2=10^2
49+x^2=100
subtract 49 from both sides
x^2=51
take the square root on both sides
x is approximately 7.1
Can you plz help me!dddddddd
Answer:
We are finding hypotenuse:
6^2 + 8^2
36 + 64 = 100
Now we need to find a number that should be squared to equal 100.
10^2 = 100!
10 is your answer.
Tina sells lampshades for $7 each and paper lanterns for $4 each at a one-day craft fair. She sells k lampshades and (k + 4) paper lanterns. The expression 7k + 4(k + 4) represents Tina’s total sales. Select all the equivalent expressions for Tina’s total sales at the fair
7k + 4k + 4
7k + 4k + 4
11k + 16
11k + 16
7k + 4k + 16
7k + 4k + 16
8k + 16
8k + 16
11k + 4
Answer: 11k + 16 and 7k + 4k + 16
Step-by-step explanation: if we distribute the 4 first we get
7k+4k+16
we can aslo combine the k's to get
11k+16
hope this is helpful (^_^)