Answers
Answer:
[tex] \theta = \frac{\pi^c}{3} [/tex]
Step-by-step explanation:
Length of arc of a circle is given by the formula:
[tex] l= \frac{\theta}{360\degree} \times 2\pi r\\\\[/tex]
[tex] Plug\: l = \pi, \: r = 3[/tex] in the above equation, we find:
[tex] \pi= \frac{\theta}{360\degree} \times 2\pi \times 3\\\\[/tex]
[tex] \pi= \frac{\theta}{360\degree} \times 6\pi \\\\[/tex]
[tex] \pi= \frac{\theta}{60\degree} \times \pi \\\\
\theta = \frac{\pi\times 60\degree}{\pi } \\\\
\theta = 60\degree \\\\
\theta = 60\times \frac{\pi^c}{180} \\\\
\huge\red {\boxed {\theta = \frac{\pi^c}{3}}}
[/tex]
Related Questions
Grant saved $1,325 to purchase a lawn tractor that costs $1,600. Last month the tractor was on sale for 20% off. Grant did not buy the tractor last month because he spent $360 to go bungee jumping. Decide if the decision is financially responsible.
Answers
Answer:
No, he is not financially responsible
Step-by-step explanation:
Given that:
Amount saved for tractor purchase = $1325
Original cost of tractor = $1600
Amount spent on bungee jumping = $360
Discounted price of tractor :
$1600 - (1600 * 0.2) = $1280
Saved amount left after bungee jumping :
$1325 - $360 = $965
The saved amount had exceeded the discounted price, hence, the discount served as an opportunity to make the purchase, However, spending $360 from the saved amount meant that the amount left could not afford the tractor despite the discount. Hence, Missing out on such opportunity due to jumping shows lack of financial responsibility.
how do solve slope and for the y axis?
Answers
Answer:
Slope = rise/run or y2-y1/x2-x1 (change in y over change in x)
Y-intercept (I'm assuming you mean y-intercept instead of y axis) = if there's a graph, find where the line intersects the y axis, if there isn't a graph, use y=mx+b to solve for b, the y-intercept.
Hope this helps!
Use the following pattern to answer the questions.
24.3, 24, 23.7, 23.4, _____, _____
Part A
What is the rule for the pattern?
A.
Add 0.3 to each term.
B.
Subtract 0.3 from each term.
C.
Add 0.03 to each term.
D.
Subtract 0.03 from each term.
Part B
Complete the next two terms in the pattern.
24.3, 24, 23.7, 23.4,
Choose...
,
Choose...
Answers
Solve the compound inequality. 3x − 4 > 5 or 1 − 2x ≥ 7 A. x ≤ −3 or x > 3 B. x −3 or x ≤ 3
Answers
Answer: B
Step-by-step explanation:
Answer i guess its b then
Step-by-step explanation:
Find the slope of the line that passes through (7,2) and (3,3)
Answers
Answer:
1 over 4
Step-by-step explanation:
Answer:
the answer is [tex]\frac{1}{-4\\}[/tex]
Step-by-step explanation:
slope= [tex]y_{2}[/tex]-[tex]y_{1}[/tex]
[tex]x_{2}[/tex]-[tex]x_{1}[/tex] so 3-2=1 and then 3-7=-4
Leah would like to earn at least $120 per month. She babysits for $5 per hour and works at an ice cream shop for $8 per hour. Leah cannot work more than a total of 20 hours per month. Let x represent the number of hours Leah babysits and let y represent the number of hours Leah works at the ice cream shop.
Which pair (x, y) represents hours that Leah could work to meet the given conditions? Select all that apply.
A.
(2.5, 15)
B.
(5, 20)
C.
(7.5, 12.5)
D.
(17.5, 5)
E.
(19, 1)
Answers
Answer:
A,B and C
Step-by-step explanation:
This does not make sense to me
Answers
[tex]\frac{3}{11}[/tex]
Somebody please help not that much time left
Answers
If a 90°degree angle is bisected, the two angles created by the bisector will equal?
Answers
Answer:
45 degrees
Step-by-step explanation:
when an angle is bisected both angles formed are equal, so 90/2=45
Triangle QRS is transformed as shown on the graph. Which rule describes the transformation?
Answers
Answer:
270°
Step-by-step explanation:
(x , y) --> (y, -x)
90° clockwise rotation
270° anti-clockwise rotation
Pumpkin pie is on sale for $12.50. How much will it cost to buy enough to feed 20 people? Please help me!
Answers
Answer:
$37.05
Step-by-step explanation:
thats what i got so it might not be right
PLEASE HELP WILL GIVE BRAINLIEST IF CORRECT
figure out the miles per hour (mph)
1. what is the mph if the time is 1 hour 42 min and the distance is 935 miles?
2. what is the mph if the time is 36 min and the distance is 330 miles?
Answers
Answer:6.67 for number 1
Step-by-step explanation:
Answer:
Answer 1 is 550
and 2 is also 550
Step-by-step explanation:
Helpppp with this plssss
Answers
Answer:
26.411
Step-by-step explanation:
In 3a+bc-c you have to substitute
a=8.6, b=2.3, c=0.47
3*8.6 + 2.3*0.47 - 0.47 first do the multiplication then addition and subtraction
25.8 + 1.081 - 0.47=
26.411
45 POINTS IF YOU STEAL POINTS IM REPORTING YOU I NEED THE ANSWER
Caisha has a circular garden with a radius of 4 ft. She needs to put a layer of soil on top. Each bag of soil covers 9.42 square feet. How many bags of soil will she need to buy? 5 bag 6 bags 7 bags 8 bags
Answers
Answer:
5
Step-by-step explanation:
A = 50.2654825
idk it could be 6
The area of on field is 16 acres, the area of the second field is 1 1/4 times bigger. A barn of wheat on the first field makes up 37 1/2 thousands pounds per acre, and on the second 1 2/15 as much per acre, how much more was gathered on the second field than the first?
Answers
Answer:
250 thousand pounds
Step-by-step explanation:
Given that:
Area of field 1 = 16 acres
Area of field 2 = 1 1/4 bigger than field 1
Barn of wheat on field 1 = 37 1/2 thousands pounds per acre
Barn of wheat on second field = 1 2/15 as much as field one per acre
Total pounds gathered on field 1 :
37 1/2 * 16 = 600 thousand pounds
Area of second field :
1 1/4 * 16 = 5/4 * 16 = 20 acres
Barn of wheat per acre = 1 2/15 * 37 1/2
= 17/ 15 * 75/2 = 42 1/2 thousand pounds per acre
Total = 42 1/2 * 20 = 850 thousand pounds.
850 - 600 = 250 thousand pounds
Leon receives a birthday gift of $50 from his parents. Each week he saves $5.00. How many weeks will it take for him to save $120? Select and equation from below that will help him determine how much he needs to save every week to save $120.00.
A) 5x + 50= 120.00
B) 50x +5.00 = 120
C) 120x + 50= 1200.00
D) 5x + 120.00= 50.00
Answers
Answer:
14 weeks. the equation would be a.
Step-by-step explanation:
120-50=70 70/5=14 it will take him 14 weeks to get 120 if he saves 5 a week on top of the additional 50 he already has.
Answer:
14 weeks
Step-by-step explanation:
What is an equation of the line that passes through the points (-4, -1)and (3, -8)
Put your answer in fully reduced form.
Answers
PLEASE HELP ME ANSWER THESE 2 QUESTIONS PLEASE PLEASE PLEASE ASAP
Answers
Answer:l
Step-by-step explanation:
Rita is hiking along a trail that is 13.7 miles long. So far she has hiked ond tenth of the trail.
How far has rita hiked
Answers
Answer: 1.37 miles
Step-by-step explanation:
13.7=100%
13.7/10=1.37=10%=1/10
Worth 25 points!
Simplify these equations with steps please.
√-48
√-63
√-72
√-24
√-84
√-99
Answers
Answer:
1) [tex]\sqrt{-48}=4\sqrt{3} \ i[/tex]
2) [tex]\sqrt{-63}=3\sqrt{7} \ i[/tex]
3) [tex]\sqrt{-72}=6\sqrt{2} \ i[/tex]
4) [tex]\sqrt{-24}=4\sqrt{6} \ i[/tex]
5) [tex]\sqrt{-84}=2\sqrt{21} \ i[/tex]
6) [tex]\sqrt{-99}=3\sqrt{11} \ i[/tex]
Step-by-step explanation:
We need to simply the following :
Note: For all questions given we know that [tex]\sqrt{-1}=i[/tex] using it in all the given questions.
1) [tex]\sqrt{-48}[/tex]
Factors of 48 are: 2x2x2x2x3
[tex]\sqrt{-48}\\=\sqrt{48}\sqrt{-1} \\=\sqrt{2\times2\times2\times2\times3}\ i\\= \sqrt{2^2\times2^2\times3}\ i\\=2\times2\sqrt{3} \ i \\=4\sqrt{3} \ i[/tex]
2) [tex]\sqrt{-63}[/tex]
Factors of 63 are: 3x3x7
[tex]\sqrt{-63}\\=\sqrt{63}\sqrt{-1} \\=\sqrt{3\times3\times7}\ i\\= \sqrt{3^2\times7}\ i\\=3\sqrt{7} \ i[/tex]
3) [tex]\sqrt{-72}[/tex]
Factors of 72 are: 2x2x2x3x3
[tex]\sqrt{-72}\\=\sqrt{72}\sqrt{-1} \\=\sqrt{2\times2\times2\times3\times3}\ i\\= \sqrt{2^2\times3^2\times2}\ i\\=2\times3\sqrt{2} \ i \\=6\sqrt{2} \ i[/tex]
4) [tex]\sqrt{-24}[/tex]
Factors of 24 are: 2x2x2x3
[tex]\sqrt{-24}\\=\sqrt{24}\sqrt{-1} \\=\sqrt{2\times2\times2\times3}\ i\\= \sqrt{2^2\times2\times3}\ i\\=2\sqrt{2\times3} \ i \\=2\sqrt{6} \ i[/tex]
5) [tex]\sqrt{-84}[/tex]
Factors of 84 are: 2x2x3x7
[tex]\sqrt{-84}\\=\sqrt{84}\sqrt{-1} \\=\sqrt{2\times2\times3\times7}\ i\\= \sqrt{2^2\times3\times7}\ i\\=2\sqrt{21} \ i[/tex]
6) [tex]\sqrt{-99}\\[/tex]
Prime factors of 99 are: 3x3x11
[tex]\sqrt{-99}\\=\sqrt{99}\sqrt{-1} \\=\sqrt{3\times3\times11}\ i\\= \sqrt{3^2\times11}\ i\\=3\sqrt{11} \ i \\=3\sqrt{11} \ i[/tex]
HELP ASAP PLEASE WILL MARK BRAINIEST
Answers
Answer:
40
Step-by-step explanation:
pls help will give brianly for help Find the quotient:
–20 ÷ 5
Answers
Answer:
The answer is -4 :)
Step-by-step explanation:
Answer:
-20 divided by 5 = -4
Step-by-step explanation:
Write the expanded form of the expression
-6.4(-n+2+4.9n)
Answers
Answer:
6.4n - 12.8 - 31.36n
Step-by-step explanation:
multiply each term by -6.4
Devon wants to build a rope bridge between his treehouse and Cheng's treehouse.
Suppose Devon's treehouse is directly behind Cheng's treehouse. At a distance of 20
meters to the left of Devon's treehouse, an angle of 52° is measured between the two
treehouses. Find the length of the rope.
A. 36.7
B. 4.2
C. 16.9
D. 25.6
Answers
PLEASE HELP I AM TIMED!
Answers
Answer:
i believe it would be 45 is greater than or equal to 3x + (3x-1) + [(3x-1)-4]
I hope you pass. Plz correct me If I am wrong
Step-by-step explanation:
The ratio of apples to oranges is 3 to 9. What is the percent of the oranges?
Answers
Answer:
I think its 33.333333333333%
Step-by-step explanation:
idk men PLEASE HELP!
Mr. Villamayor rented a construction crane for five hours and a backhoe for seven hours. The total amount he paid is less than Php 9,000. Suppose the hourly rate for the crane is Php 800. What is the maximum amount he paid for the backhoe to the nearest hundreds?
Answers
Answer:
Let 7x be the rent paid for backhoe for seven hours.
Step-by-step explanation:
Keyword: maximum amount, the most
Inequality symbol: ≤
(800 × 5) + 7x ≤ 9,000
4,000 + 7x ≤ 9,000
7x ≤ 9,000 - 4,000
7x ≤ 5,000
7x ÷ 7 ≤ 5,000 ÷ 7
x ≤ 714.29
To the nearest hundreds:
x ≤ 700
ANSWER: The maximum rental fee per hour of backhoe is Php 700.00 (rounded off to the nearest hundreds).
To check if he paid less than 9,000 for the total rent:
(800 × 5) + (700 × 7) < 9,000
4,000 + 4,900 < 9,000
8,900 < 9,000 (True)
Select the correct answer.
Which statement is false?
A.
The inequality sign always opens up to the larger number.
B.
The greater number in an inequality is always above the other number on the vertical number line.
C.
The smaller number in an inequality is always located to the left of the other number on the horizontal number line.
D.
The inequality sign always opens up to the smaller number
Answers
Answer:
I think it might be C or B
Step-by-step explanation:
Hope this helped have a nice day :)
In one month, a cell phone company charges $50 and additional $0.05 for each text message. The company charged Christian $80 for October. How many text messages did Christian send in October?
Answers
Answer:
He has 1000 text messages.
Step-by-step explanation:
50 for a month and 0.05 for every text message
0.05x100=5
0.05x1000=50
1. 3(6a); for a=3
2. 5d(4); for d=-2
Answers
Answer:
Step-by-step explanation:
1. Solution for 3(6a)a=3 equation:
Simplifying
3(6a) * a = 3
Remove parenthesis around (6a)
3 * 6a * a = 3
Multiply 3 * 6
18a * a = 3
Multiply a * a
18a2 = 3
Solving
18a2 = 3
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Divide each side by '18'.
a2 = 0.1666666667
Simplifying
a2 = 0.1666666667
Take the square root of each side:
a = {-0.408248291, 0.408248291}
2.Solution for 5d(4)d=-2 equation:
Simplifying
5d(4) * d = -2
Reorder the terms for easier multiplication:
5 * 4d * d = -2
Multiply 5 * 4
20d * d = -2
Multiply d * d
20d2 = -2
Solving
20d2 = -2
Solving for variable 'd'.
Move all terms containing d to the left, all other terms to the right.
Divide each side by '20'.
d2 = -0.1
Simplifying
d2 = -0.1
Reorder the terms:
0.1 + d2 = -0.1 + 0.1
Combine like terms: -0.1 + 0.1 = 0.0
0.1 + d2 = 0.0