[tex]\textit{arc's length}\\\\ s=\cfrac{\theta \pi r}{180}~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=20\\ \theta =118 \end{cases}\implies \begin{array}{llll} s=\cfrac{(118)\pi (20)}{180}\implies s=\cfrac{118\pi }{9} \\\\\\ s\approx 41.19~cm \end{array}[/tex]
100 Points and Brainly.
Write an Equation
Based on the information write an equation that represents the relationship between the time you spent doing the activity and the amount of the activity you completed. Make sure to define your variables.
This is my data
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3. I did the activity 105 Times in a minute and a half
4. The Dependent Variable is 105
5. The Independent Variable is 1 minute.
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Answer:
See below
Step-by-step explanation:
Feel free to be creative or even to come up with an activity you think your teacher has not seen before.
Liked that. So let's be creative.
Part 1: Record Information
Spend a short amount of time (one to five minutes) doing your activity. Answer the following questions:
1. What was the activity?
I am from Japan and practice Kendo (feel free to search about it). Suppose you are doing suburi. You did 100 joge suburi.
2. How long did you spend doing your activity?
Suppose it took you 5 minutes.
3. How much of the activity did you complete in the time period? (Example: I did 24 sit-ups in one minute.)
You did 100 joge suburi in 5 minutes. It means [tex]\frac{100}{5} =20[/tex] [tex]per[/tex] [tex]minute[/tex]
4. Which of these variables is your dependent variable?
If you want to calculate how much suburi you did in an amount of time , given the time in minutes, we can write the function
[tex]y=f(x)=20x[/tex]
Therefore, the dependent variable is the number of suburis. More precisely it is given by [tex]y[/tex]. On the other hand, the independent variable is [tex]x[/tex], the time.
Considering the example: I did 24 sit-ups in one minute.
sit-ups is the dependent variable and the number of minutes represents the independent variable.
Note: The number of sit-ups will depend on the time. 24 is the coefficient. In this case, the function would be
[tex]g(x)=24x[/tex]
5. Which one is the independent variable?
The time in minutes.
6. Write a sentence that describes the relationship between the dependent variable and the independent variable. (Hint: Ratio language can help.)
You can write: The ratio of suburi done is 100:5 or 20:1 because for every 1 minute passed you did 20 suburis.
Part 2: Prepare a Table
Assuming that you could complete the activity at the same rate over different time periods, how much of the activity could you complete in two minutes, three minutes, four minutes, and five minutes? (Note: If you spent two minutes doing your activity, then you should edit the table below and use multiples of 2 up to 10).
You may use the table below for your variables.
Time (minutes) Quantity of suburi
0 0
1 20
2 40
3 60
4 80
5 100
Part 3: Prepare a Graph
Create a graph to show your relationship. Make sure you include all the parts for a graph and show the data clearly. Include a title for the graph and label the x- and y-axes.
This part I will let it to your. But is is just a linear graph.
Part 4: Write an Equation
Based on your recorded values, write an equation that represents the relationship between the time you spent doing the activity and the amount of the activity you completed. Make sure to define your variables.
[tex]y=f(x)=20x,[/tex] ∀[tex]x[/tex] ∈ [tex]Z[/tex][tex]\geq_0[/tex]
[tex]y:[/tex] [tex]number[/tex] [tex]of[/tex] [tex]suburis[/tex]
[tex]x:[/tex] [tex]time[/tex]
7. If you were able to maintain this rate of your activity for 12 minutes, how much of the activity would you be able to complete?
For [tex]x=12[/tex]: [tex]y=f(12)=20*12=240[/tex]
240 suburis
8. How long would it take you to reach 100 for the number of times you did your activity?
5 minutes.
9. Which representation do you believe is the best way to share this information with someone else? This is your opinion. No answer is right or wrong.
The function is the best because it describes all the variables easily.
What is the exact circumference of a circle with a diameter of 18
inches?
Answer:
18 pi inches
Step-by-step explanation:
Circ of circle = pi * d
= 18 pi exactly
Is 2,4,6 an obtuse triangle?
Answer:
Step-by-step explanation:
Would the answer to this be 103?
Question: Find the value of x
Answer:
x=13
Step-by-step explanation:
<FGA is a vertical angle to <EGB, so both = to 77. Then since < CGB=90, we do 90-77=13
What is the probability of rolling a dice and rolling a 5, then rolling it again and rolling an 6?
Answer:
1/6
Step-by-step explanation: Im going to guess the dice has 6 sides, rolling any number on that 1 dice would be a 1/6 chance. I hope this helps!
In how many different ways can the sides of a triangle be named by the letters a, b, and c?
24
18
3
6
Answer:
6.
Step-by-step explanation:
That is the number of permutations of 2 from 3
= 3P2
= 3!/(3-2(!
= 3*2
= 6.
What do I put in the first 3 fractions??? (Help needed)
Answer:
See below ~
Step-by-step explanation:
First 3 blanks
[tex]\frac{6}{8}+\frac{4}{8}+\frac{5}{8}[/tex]Final blank
[tex]1\frac{5}{8}[/tex]The distance by rail from Leicester to Londonis 100 miles.
Assume that the train travels at an average speed of 80 mph.
Calculate the arrival time in London of a train that leaves Leicester at 11:50 a. M.
Input note: write your answer in 24 hour clock mode
The arrival time in london of a train that leaves Leicester to london at 11:50 A.M is 13:05 pm.
To calculate the arrival time in london of a train that leaves Leicester to london at 11:50 A.M, use use the formula below.
Formula:
Ta = [(d/s)+11:50]....... Equation 1Where:
Ta = Arrival timed = distance from Leicester to Londons = SpeedFrom the question,
Given:
d = 100 miless = 80 mphSubstitute these values into equation 1
Ta = [(100/80)+11:50]Ta = 1.25h+11:50Ta = 1 hours 15 minutes +11:50Ta = 13:05 pmHence, the arrival time in london of a train that leaves Leicester to london at 11:50 A.M is 13:05 pm.
Learn more about time here: https://brainly.com/question/4931057
In one-half hour, a car traveled 20 km. Find the average velocity in km/min. (Round to the nearest
hundredth)
Step-by-step explanation:
[tex]s = 20km \\ t = 30min[/tex]
[tex]v = \frac{s}{t} \\ v = \frac{2}{3} [/tex]
[tex]v = 0.67[/tex]
[tex]v = 0[/tex]
Find the value of x (show all work on paper):
Adj: 48
Hyp: 50
A:42
B:10
C:14
D:70
Answer:
16.260 (3 d.p.)
Step-by-step explanation:
Use SOHCAHTOASince you have the adj and hyp, use CAHcos(x) = adj / hyp = 48 / 50x = cos-1(48/50) [What i mean by cos-1 is the inverse of cosine. You can find this by pressing shift + cos on most calculators)This gives you 16.260 (to 3 d.p.)Cylinder A has a radius of 7 inches and a height of 5 inches. cylinder B has a volume of 490 pi. What is the percentage change in volume from cylinder A to cylinder B
50 POINTS PLEASE ANSWER ASAP
What is the diameter of a circle whose circumference is 5?
Answer:
[tex]4)\ = \frac{5}{\pi}[/tex]
Step-by-step explanation:
Formula:________________
circumference = Diameter × π
_______________________
Then
5 = Diameter × π
Then
[tex]Diameter \ = \frac{5}{\pi}[/tex]
I will mark brainiest
Answer: The second histogram a.k.a choice B is correct.
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS IM SO LOST AND CONFUSES MY BRAIN PLS AND TYSM
Answer:
The answer is C.
Step-by-step explanation:
C. 50-59 since it has the same number of employees as 10-19.
PLS HELP ME ON THIS I JUST DIG MY GRADE OUT OF THE GRAVE
1) (-5, 5), 2) (7, -5), 3) (- 3, 28), 4) (- 12, 0), 5) 10, 6) 14, 7) (- 9, 9), 8) [tex]\sqrt{26}[/tex], 9) - 2, 10) 10, 11) [tex]\left(\frac{\sqrt{26}}{26}, \frac{5\sqrt{26}}{26}\right)[/tex], 12) [tex]\left(\frac{21\sqrt{10}}{10}, -\frac{7\sqrt{10}}{10} \right)[/tex], 13) (0, 7), 14) [tex](- 3\sqrt{3}, - 3)[/tex], 15) The vectors [tex]\vec a[/tex] and [tex]\vec b[/tex] are orthogonal, 16) [tex]7\sqrt{2}[/tex], [tex]135^{\circ}[/tex], 17) [tex]17[/tex], [tex]137^{\circ}[/tex], 18) [tex]12[/tex], [tex]240^{\circ}[/tex], 19) [tex](19.700, 15.392)[/tex]
How to analyze vectors
Vectors are elements that are charaterized for having a magnitude and a direction, whereas scalar are only characterized by magnitude. In this question we must apply different vector properties to obtain the corresponding results.
The first two exercises consist in calculating each vector based on its initial and terminal points, whose results are obtained below by sum of vectors with initial points at origin:
1) (-1, 3) - (4, -2) = (-5, 5)
2) (2, -6) - (- 5, -1) = (7, -5)
The following eight exercises are resolved by applying the operations of addition of vectors and multiplication of a vector by a scalar, and the definition of norm and dot product as well:
3) 3 · (3, 4) + 2 · (- 6, 8) = (9, 12) + (- 12, 16) = (- 3, 28)
4) (- 6, 8) - 2 · (3, 4) = (- 12, 0)
5) [tex]\| \vec v\| = \sqrt{(-6)^{2}+8^{2}}[/tex] = 10
6) [tex]\vec u \,\bullet \,\vec v =[/tex] 3 · (- 6) + 4 · 8 = 14
7) 3 · [(0, 2) - (3, -1)] = 3 · (- 3, 3) = (- 9, 9)
8) [tex]\|\vec v\| = \sqrt{1^{2}+5^{2}} = \sqrt{26}[/tex]
9) [tex]\vec u \,\bullet \,\vec v =[/tex] 3 · 1 + (- 1) · 5 = - 2
10) [tex]\vec w \,\bullet \, \vec v =[/tex] 0 · 1 + 5 · 2 = 10
11) The unit vector is obtained by dividing the vector by its magnitude:
[tex]\vec u_{v} = \frac{1}{\sqrt{26}}\cdot \left(1, 5\right) = \left(\frac{1}{\sqrt{26}}, \frac{5}{\sqrt{26}} \right) = \left(\frac{\sqrt{26}}{26}, \frac{5\sqrt{26}}{26}\right)[/tex]
12) The vector is equal to the product of the magnitude and its unit vector:
[tex]\vec r = 7 \cdot \frac{\vec u}{\|\vec u\|}[/tex]
[tex]\vec r = \frac{7}{\sqrt{10}}\cdot (3, -1) = \left(\frac{21}{\sqrt{10}}, -\frac{7}{\sqrt{10}} \right) = \left(\frac{21\sqrt{10}}{10}, -\frac{7\sqrt{10}}{10} \right)[/tex]
13) and 14) The vector is the product of the magnitude and the directional vector:
13) [tex]\vec r = 7 \cdot (\cos 90^{\circ}, \sin 90^{\circ}) = (0, 7)[/tex]
14) [tex]\vec r = 6\cdot (\cos 210^{\circ}, \sin 210^{\circ}) = (- 3\sqrt{3}, - 3)[/tex]
15) Two vectors are orthogonal if and only if their dot product is zero:
[tex](3.2, 4.8) \,\bullet\,(-3, 2) =[/tex] 3.2 · (- 3) + 4.8 · 2 = 0
The vectors [tex]\vec a[/tex] and [tex]\vec b[/tex] are orthogonal.
The next three exercises are resolved by definitions of norm and direction:
16) [tex]\|\vec v\| = \sqrt{(-7)^{2}+7^{2}} = 7\sqrt{2}[/tex], [tex]\theta = 135^{\circ}[/tex]
17) [tex]\|\vec v\| = 17[/tex], [tex]\theta = 137^{\circ}[/tex]
18) [tex]\|\vec q\| = 12[/tex], [tex]\theta = 240^{\circ}[/tex]
The last exercise consist in defining the vector as a product of magnitude and direction vector:
19) [tex]\vec v = 25\cdot (\cos 38^{\circ}, \sin 38^{\circ}) = (19.700, 15.392)[/tex]
To learn more on vectors, we kindly invite to check this verified question: https://brainly.com/question/13322477
Work out the value of x
Answer:
42°
Step-by-step explanation:
Angles on one side of a straight line always add up to 180.
Therefore: 180° - 123° = 57°
So, 57° + 81° =138°
x=180° -138° = 42°
Can any one answer this correctly?
Answer:
A
Step-by-step explanation:
The Y-intercept is -3.
The gradient is -3/4 since it goes down 3 every 4 tiles.
Answer:
[tex]y=-\frac{3}{4}x -3[/tex]
Step-by-step explanation:
Hey there!
We can form this equation in slope-intercept form
This means, we have to find the slope and the y intercept of the line
First lets find the slope
The equation for slope is [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
In order to find y and x, we need to take two points on the line
(-4, 0) and (0, -3)
x1 y1 x2 y2
Plug it in:
[tex]\frac{-3-0}{0-(-4)} \\\\\frac{-3}{4} \\\\-\frac{3}{4}[/tex]
This means, the slope is -3/4
Now we have to find the y-intercept
The y-intercept is where the line intercepts the y-axis
The line intercepts the y-axis at the point (0, -3)
So now that we have the slope and the y-intercept, we can form the equation
[tex]y=-\frac{3}{4}x-3[/tex]
need help on this question
Answer: 4
Step-by-step explanation:
Tyson's baby brother weighed 7 pounds, 3 ounces when he was born. The baby lost 9 ounces after a few days and then gained 1 pound, 6 ounces by the end of the week. How much did the baby weight at the end of the week?
1 pound = 16 ounces
Solution:______ pounds or ounces
The whole cake is 9 cm high and 20 cm across. Each layer of cake is 2cm thick, and each layer is separated by 1 cm of frosting.
1. What is the total volume of the entire cake (including the missing piece)?
2. What is the volume of one layer of frosting (including the missing piece)?
3. What is the volume of all three layers of frosting? (including the missing piece)?
4. What is the volume of one layer of plain cake (without frosting) (including the missing piece)?
5. What is the volume of all three layers of plain cake, without the frosting (including the missing piece)?
Answer:
PO
Step-by-step explanation:
A 2-gallon container of window cleaner costs $13.20. What is the price per quart?
Answer:
$ 1.65 per gallon
Step-by-step explanation:
4 quarts in 1 gallon so 8 quarts in 2 gallons.
Cost for 2 gallons $13.20 so $13.20 ÷ 8 = $1.65
Each class you have is 1 1/4 hours. How many classes are there if the day is 6 7/8 hours?
Answer:
There would be 5.5 or 5 1/2 classes
Step-by-step explanation:
Turn fractions into decimals
Multiply each by 60
Then Divide
Maria and henry are each starting a savings account. Maria puts $250 into her account each month. Henry puts $125 into his account each month. How much money will each of them have saved after 6 months? complete the table to solve
Answer:
maria: $2,500
henry:$750
Step-by-step explanation:
all you have to do is multiply them each by 6
Answer:
Maria will have $1500
Henry will have $750
Step-by-step explanation:
Maria - Multiply 250 x 6
Henry- Multiply 125 x 6
Gordon buys an antique teapot for £95.
He sells it on an Internet auction site for
£133.
Calculate his percentage profit.
so he got for £95 and sold it for £133, so hmmmm the difference is simply £38.
if we take 95 to be the 100%, what is 38 off of it in percentage?
[tex]\begin{array}{ccll} \pounds&\%\\ \cline{1-2} 95 & 100\\ 38& x \end{array} \implies \cfrac{95}{38}=\cfrac{100}{x}\implies \cfrac{5}{2}=\cfrac{100}{x} \\\\\\ 5x=200\implies x=\cfrac{200}{5}\implies x=40[/tex]
Which of the following statements is true about the three quadrilaterals?
A and B are similar but not congruent.
A and C are similar but not congruent.
A and B are similar and also congruent.
B and C are similar and also congruent.
Select the correct answer from each drop-down menu. betty picks 4 random marbles from a bowl containing 3 white, 4 yellow, and 5 blue marbles. the probability that exactly 1 of the 4 marbles drawn is blue is . the probability that at least 1 of the 4 marbles drawn is white is .
The probability of exactly 1 of the 4 marbles drawn being blue and at least 1 of the 4 marbles drawn being white will be 0.3535 and 0.7454 respectively.
What is probability?Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.
Betty picks 4 random marbles from a bowl containing 3 white, 4 yellow, and 5 blue marbles.
The total number of the marbles will be
Total marble = 3 + 4 + 5
Total marble = 12
Then the probability of exactly 1 of the 4 marbles drawn being blue will be
[tex]\rm P(B) = \dfrac{^5C_1 \times ^7C_3}{^{12}C_4}\\\\P(B) = \dfrac{35}{99} = 0.353535[/tex]
Then the probability of at least 1 of the 4 marbles drawn being white will be
[tex]\rm P(W) = \dfrac{^{3}C_1\times \ ^{9}C_3}{^{12}C_4} + \dfrac{^{3}C_2\times \ ^{9}C_2}{^{12}C_4} + \dfrac{^{3}C_3\times \ ^{9}C_1}{^{12}C_4} \\\\\\P(W) = \dfrac{252}{495} + \dfrac{108}{495} + \dfrac{9}{495}\\\\\\P(W) = \dfrac{369}{495}\\\\\\P(W) = 0.745454[/tex]
More about the probability link is given below.
https://brainly.com/question/795909
Answer:
A. 0.3535.
B. 0.7455.
Step-by-step explanation:
The probability that exactly 1 of the 4 marbles drawn is blue is 0.3535. The probability that at least 1 of the 4 marbles drawn is white is 0.7455.
One-third is equivalent to what number over 12? Place only the value for the number that will be over 12.
Answer:
4
Step-by-step explanation:
1/3 = x/12
12 * 1/3 =x x = 4
If 50 is 20% of a value, what is that value?
Divide 50 by 20%
50/20% = 50/0.20 = 250
Answer: 250
Sean made 3 wood-fired pepperoni pizzas. 7 friends share the pizzas equally. How much pizza is each person getting?
*
Which fraction represents the ratio in this scenario?
1 point
7/3 of a pizza
3/7 of a pizza
3/10 of a pizza
10/7 of a pizza
Answer:
3/7
Step-by-step explanation:
Write the division of the pizzas as a ratio, and you will have it.
(3 pizzas)/(7 persons) = (3/7) pizza/person
__
Each person gets 3/7 of a pizza.
Can somebody help me please!
Answer:
Less than
Step-by-step explanation:
1/3 * 7/15 is less than 1/3 because 1/3 * 7/15 is being multiplied by a number that is less than 1.