put the steps, for changing the formula for the arc length of a circle in degrees to the formula for the arc length of a circle in radians in the correct order.
9514 1404 393
Answer:
top down: 1, 5, 6, 4, 8, 2, 3, 7
Step-by-step explanation:
It appears the expected order may be ...
__
Write the formula for the arc length of a circle with central angle, θ, in degrees.
[tex]\textit{Arc Length}=\dfrac{\theta}{360^{\circ}}\cdot 2\pi r[/tex]
Replace 360° with 2π radians.
[tex]\dfrac{\theta}{360^{\circ}}=\dfrac{\theta}{2\pi}[/tex]
Replace the angle ratio in degrees with the angle ratio in radians.
[tex]\textit{Arc Length}=\dfrac{\theta}{2\pi}\cdot 2\pi r[/tex]
Simplify by cancelling
[tex]\textit{Arc Length}=\theta r[/tex]
A cookie factory uses 3 bags of flour in each batch of cookies. The factory used 5 2/3 bags of flour yesterday. How many batches of cookies did the factory make?
Write answer as a fraction or as a whole or mixed number.
PLEASE HELP ITS MULTIPLE CHOICE i added extra points and i’ll mark BRAINLIEST !!!
Answer:
C
Step-by-step explanation:
Which of the following graphs represent a function?
A: Graph A and Graph C
B: Graph A
C: Graph D
D: Graph B and Graph D
Answer:
A
Step-by-step explanation:
in function graphs if you would draw a line down what shape or line it can only touch it once.
The value of a car is $15000 and depreciates at a rate of 8% per year. What is the decay factor?
Answer:
Answer:1,875
Step-by-step explanation:15,000 ÷ 8 = 1,875
Answer: I think it is 1200
Step-by-step explanation: because $15000 of 8% is equal to 1200 because it just is
could you help me find whqt equivalent to 16x^2/y
Answer:
(2xy)⁴/x²y⁵
(4x)²/y
(4x)²y¯¹
Step-by-step explanation:
From the question given above, we obtained:
16x²/y
Thus, we can obtain the equivalent of the above expression as follow:
For Option 1:
(2x)⁴/x²y¯¹ = 2⁴x⁴/x²y¯¹
(2x)⁴/x²y¯¹ = 16x⁴/x²y¯¹
Recall:
1/A¯¹ = A
Therefore,
16x⁴/x²y¯¹ = 16x⁴y/x²
Recall:
Aᵐ ÷ Aⁿ = Aᵐ ¯ ⁿ
Therefore,
16x⁴y/x² = 16x⁴¯²y = 16x²y
(2x)⁴/x²y¯¹ = 16x²y
Thus, (2x)⁴/x²y¯¹ is not equivalent to 16x²/y
For Option 2:
(2xy)⁴/x²y⁵ = 2⁴x⁴y⁴/x²y⁵
(2xy)⁴/x²y⁵ = 16x⁴y⁴/x²y⁵
Recall:
Aᵐ ÷ Aⁿ = Aᵐ ¯ ⁿ
16x⁴¯² y⁴¯⁵ = 16x²y¯¹
Recall:
A¯¹ = 1/A
16x²y¯¹ = 16x²/y
(2xy)⁴/x²y⁵ = 16x²/y
Thus, (2xy)⁴/x²y⁵ is equivalent to 16x²/y
For Option 3:
(4x)²/y = 4²x²/y
(4x)²/y = 16x²/y
Thus, (4x)²/y is equivalent to 16x²/y
For Option 4:
(4x)²y¯¹ = 4²x²y¯¹
(4x)²y¯¹ = 16x²y¯¹
Recall:
A¯¹ = 1/A
16x²y¯¹ = 16x²/y
(4x)²y¯¹ = 16x²/y
Thus, (4x)²y¯¹ is equivalent to 16x²/y
For Option 5:
(4x/y)²
Recall:
(A/B)ⁿ = Aⁿ / Bⁿ
(4x/y)² = (4x)²/y²
(4x/y)² = 4²x²/y²
(4x/y)² = 16x²/y²
Thus, (4x/y)² is not equivalent to 16x²/y
SUMMARY:
(2x)⁴/x²y¯¹ is not equivalent to 16x²/y
(2xy)⁴/x²y⁵ is equivalent to 16x²/y
(4x)²/y is equivalent to 16x²/y
(4x)²y¯¹ is equivalent to 16x²/y
(4x/y)² is not equivalent to 16x²/y
Find the measure of the indicated angle of 27 and 11
Answer:
I think it's 39 I'm wrong but that's what I think sorry
A manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 408.0 gram setting. It is believed that the machine is underfilling the bags. A 45 bag sample had a mean of 406.0 grams. A level of significance of 0.01 will be used. Is there sufficient evidence to support the claim that the bags are underfilled
Answer:
There is no sufficient evidence to support the claim that the bags are underfilled
Step-by-step explanation:
Null [H0] : chips x = 408
Alternate [H1] : chips x < 408
t = ( x' - u ) / (s / √n)
x' = sample mean , u = population mean, s = standard deviation, n = no. of observations.
(406 - 408) / (21 /√45)
-2 / 3.13
= 0.64
t value for α = 0.01 (one tailed), with degree of freedom = 44 : is 2.41
As calculated t 0.64 < tabulated t 2.41. So we don't reject the null hypothesis & state that chips x = 408
I Need help with 1-5
Answer:
1)=0
2)
[tex] \frac{ \sqrt{3} }{?2} [/tex]
3)
[tex] \sqrt{3} [/tex]
4)
[tex]2 + \sqrt{3} [/tex]
5) I don't know that one.
Tyree plans to use SSS to prove two triangles made from a sheet of paper are the same. Which diagram best supports his plan to use SSS?
Picture below
Answer:
Bottom left choice
Step-by-step explanation:
SSS congruence is side-side-side congruence, which is a method to prove triangles congruent by all three sides of the triangle being congruent. The other choices all involve congruent angles. Therefore, the bottom left choice is the best answer.
Also, notice that the bottom left choice shows which side is congruent to which. All three sides of one of the triangles are shown to be congruent with the corresponding side to the other triangle, therefore, congruent by SSS.
I hope this helps! :)
which of the inequalities have no solution?
select all that apply.
a. |2x-4| ≤ - 16
b. |7x+3| > 24
c. |12x| < - 6
d. |3x| ≤ 36
Answer:
C. doesnt have a solution
It takes 2.5 yards of material to make a dress. Harley's Clothing Design estimates that they can produce 48 dresses each week. If there are 52 weeks in a year, how much material will they need to purchase to make dresses for a year?
6,240 yards
150 yards
5,910 yards
2,704 yards
Answer:
The answer is 6,240 yards
Step-by-step explanation:
If there is 48 each week thats basically 48×52 = 2496 which is how many dresses times how many yards per dress(2.5)I get 6240.
Hope this helps!!
Answer:
6240
Step-by-step explanation:
Amount of material it takes to make 1 dress = 2.5 yards
Amount of dresses Harley's Clothing Design will produce each week = 48 dresses
Number of weeks in 1 year = 52
2.5*48= 120
120 yards of material used in 48 dresses in one week.
120*52=6240
Therefore, the store will need to purchase 6240 yards of material in order to produce 48 dresses per week for 52 weeks, which is about 1 year.
Hope this helps!
You go to a bakery and see that two cookies
and a glass of milk cost $3.75. One cookie with a
glass of milk cost $2.45. How much will a glass of
milk cost alone? Start by writing a system of
equations, then solve the system.
Answer:
$1.15
Step-by-step explanation:
You take 3.75 - 2.45 = 1.3 because the 2.45 is taking off the price of one cookie and than when you minus them you get the price of how much the cookie alone costed. then take 2.45 - 1.3 to get how much the milk costs.
Mega Movies hosted a film premiere on Friday night. They charged $8 for adults and $4 for children. One hundred eight adults and children attended, and $1,152 was made in ticket sales. How many children and how many adults went to the film premiere?
A. 18 children, 133 adults
B. 14 children, 137 adults
C. 8 children, 143 adults
D. 11 children, 140 adults
Answer:
B.
Step-by-step explanation:
14 x 4 + 137 x 8 = $1,152
hope this helps
have a great day
and a Merry Christmas UwU
For an acute angle θ, the equation sin(θ)=cos(6) is true. What is the value of θ? Show or explain your answer
Answer:
[tex]\theta= 84[/tex]
Step-by-step explanation:
Given
[tex]\sin(\theta) = \cos(6)[/tex]
Required
Find [tex]\theta[/tex]
In trigonometry,
If [tex]\sin(\theta) = \cos(\alpha)[/tex], then
[tex]\theta + \alpha = 90[/tex]
So, in this case:
[tex]\theta + 6= 90[/tex]
Subtract 6 from both sides
[tex]\theta + 6-6= 90-6[/tex]
[tex]\theta= 90-6[/tex]
[tex]\theta= 84[/tex]
Hence, the value of [tex]\theta[/tex] is 84 degrees
Please help me thank you I appreciate it
Sally has 6 apples she eats 3 apples how many apples does Sally have left
Answer:
she has 3 apples left
Step-by-step explanation:
6 apples-3 apples= 3 apples left
uNLeSs thiS is A triCk QueStiOn lol
can someone help me with this question?
Answer:
what question
Step-by-step explanation:
Best answer gets brainiest. Mackenzie went to the mall with her mom. First, they spent 15 minutes in the shoe store. Then they spent 1 hour shopping for a dress for Mackenzie. Finally, they spent 30 minutes eating dinner at the food court. It was 6:30 P.M. when Mackenzie and her mom left the mall. What time did they start shopping?
Include A.M. or P.M. in your answer.
Answer:
They started at 4:45 pm
Step-by-step explanation:
Time spend at the mall:
15 minutes in the shoe store
1 hour shopping for a dress
30 minutes eating
Total 1 hour 45 minutes
x + 1 hour 45 minutes = 6:30
Subtract 1 hours
5 : 30 pm
Subtract 45 minutes
4 :45 pm
They started at 4:45 pm
I WILL MARK BRAINLIEST IN 5 MINUTES!
Answer:
Non-linear.
Step-by-step explanation:
The rate of change from t1 to t2 is different from the rate of change of t3 to t4 which makes this non-linear.
What is the image of (-1,-5) after a dilation by a scale factor of 5 centered at the
origin?
A dilation by a scale factor of 5 centered at the origin simply multplies by 5 the coordinates of every point. So, the new coordinates are (-5, -25)
Please solve this question.
Answer:
An equilateral triangle is formed.
Step-by-step explanation:
Since you construct two lines of 60° at points P and Q, the two ends of the line, you construct a triangle with two angles as 60°.
Hence, with the knowledge that the angle sum of a triangle is 180°, we can find that the remaining angle is [tex](180\textdegree - 60\textdegree - 60\textdegree)[/tex] = [tex]60\textdegree[/tex].
Therefore, a triangle with all angles at 60° is an equilateral triangle.
Hope this helped!
PLEASE I NEED HELP!! LOOK AT THE PHOTO!!
ILL GIVE POINTS!!
Answer:
The system of inequalities representing the situation above is given as:
Number of ink drawings x ≥ 0
Number of water colors ≥ 0
Number of preparation time: 0.3x + 0.5y ≤ 120
Number of packaging time: 0.2x + 0.2y ≤ 60
Step-by-step explanation:
They volunteered to spend:
Number of hours for preparation = 120
Number of hours for packaging = 60
Number of hours to prepare ink drawing = 0.3
Number of hours to prepare water colour = 0.5
Number of hours it takes to package each card = 0.2
x = number of ink drawings
y = number rod water colour
The system of inequalities representing the situation above is given as:
Number of ink drawings x ≥ 0
Number of water colors ≥ 0
Number of preparation time: 0.3x + 0.5y ≤ 120
Number of packaging time: 0.2x + 0.2y ≤ 60
Option d is the correct option
Tucker's class took a field trip to the art museum. They left school at 7:45 A.M. It took them 1 hour to drive to the museum. They stayed at the museum for 3 hours and 45 minutes. What time was it when Tucker's class left the museum?
Include A.M. or P.M. in your answer Please help me fast!!
Answer:
I think they left at 1:45 hope this helped!
Step-by-step explanation:
A 350-seat movie theater charges $10.50 admission for adults and $7.50 for children. If the theater is full and $3411 is collected, how many adults and how many children are in the audience (Note: You may use any method to solve the problem.)
Answer:
Hence 262 adults and 88chidren are in the audience
Step-by-step explanation:
Let the number adults be x
Let the number of children be y
If there are 350seats in the theatre then;
x+y =350 .... 1
Also if $10.50was charged for adults and $7.50 for children with total amount of $3411, then;
10.50x + 7.50 y = 3411..... 2
Solve simultaneously
From 1, x = 350-y
Substitute into 2:
10.50(350-y) +7.50y = 3411
3675-10.5y+7.50y = 3412
3675-3y = 3411
-3y = 3411-3675
-3y = -264
y = 264/3
y = 88
From 3: x = 350-y
x = 350-88
x = 262
Hence 262 adults and 88chidren are in the audience
Who can help me with this problem
Answer:
y=94x
Step-by-step:
If you have any trouble understanding how i got this please let me know and i will do another explanation.
According to the scores on the last math test, 80%, or 20. of the students in the class received an A Find the number of students in the entire class.
Answer:
25 students
Step-by-step explanation:
.8x = 20
x = 25 students
what is 0.05 x 300 please step by step explanation asap
100 students were asked to ll out a form with three survey questions, as follows: H: Honor Roll
C: Club membership (Robotics Club or Gaming Club)
D: Double-major
Survey results were as follows:
28 checked H (possibly non-exclusively), 26 checked C (possibly non-exclusively), 14 checked D (possibly non-exclusively)
8 checked H and C (possibly. non-exclusively), 4 checked H and D (possibly. non- exclusively), 3 checked C and D (possibly. non-exclusively)
And 2 checked all three statements.
1. How many students didn't check any of the boxes?
2. How many students checked exactly two boxes?
3. How many students checked at LEAST two boxes?
4. How many students checked the Clubs box only? [d]
Answer:
1. 45
2. 9
3. 11
4. 17
Step-by-step explanation:
The computation is shown below:
Given that
28 checked H
26 checked C
14 checked D
8 checked H and C
4 checked H and D
3 checked C and D
2 checked all.
Based on the above information
N(H)=28
N(C) 26
N(D) 14
N(H∪C) = 8
N(H∪D) = 4
[tex]N(C\cup D)=3[/tex]
[tex]N(H\cup C\cup D)=2[/tex]
We know that
[tex]Total=N(H)+N(C)+N(D)-N(H\cup C)-N(H\cup D)-N(C\cup D)+N(H\cup C\cup D)[/tex]
= 28 + 26 + 14 - 8 - 4 - 3 + 2
= 55
1. The students who didnt check any kind of the box is
= 100 - 55
= 45
2) Students who checked exactly two boxes is
[tex]= N(H\cup C)+N(H\cup D)+N(C\cup D)-3N(H\cup C\cup D)[/tex]
= 8 + 4 + 3 - 6
= 9
3) Students who checked a minimum of two boxes
[tex]= N(H\cup C)+N(H\cup D)+N(C\cup D)-2N(H\cup C\cup D)[/tex]
= 8 + 4 + 3 - 4
= 11
4) Given N(C) = 26
Now we have to deduct N(C∪D) and N(H∪C) as it could be checked aside from the club
= 26 - 8 - 3
= 15
Here the [tex]N(H\cup C\cup D)[/tex] could be deducted twice under both categories so it would be added one time to neutralize
= 15 + 2
= 17
.
.
On weekdays , a movie theater charges different rates for adults and children. If 3 adults and 2 children go for a movie on a weekday, the total cost of the tickets is $31. If 2 adults and 3 children go on a weekday the total cost of the tickets is 29$ . If a group of adults and 6 children go to the movie theatre on a weekday and pay $58 for tickets , how many adults are in this group ?