Answers
41.9 mi
Step-by-step explanation:
First, we convert the angle from degree measure to radian measure:
[tex]\theta = 240°×\left(\dfrac{\pi}{180°}\right)= \dfrac{4\pi}{3}\:\text{rad}[/tex]
Using the definition of an arc length [tex]s[/tex]
[tex]s = r\theta[/tex]
[tex]\:\:\:\:=(10\:\text{mi})\left(\dfrac{4\pi}{3}\:\text{rad}\right)[/tex]
[tex]\:\:\:\:= 41.9\:\text{mi}[/tex]
Related Questions
find the sum of all multiples of 9 between 0 and 200
Answers
Answer:
I thick the answer is 2277
The ordered pairs for two points are listed in the table. What is the equation, in slope-intercept form, of the line that contains these points?
x l y
-1 l 3
1 l -7
A. y = -5x + 2
B. y = -5x - 2
C. y = 2x + 5
D. y = 2x - 5
Answers
Answer:
y = 5x - 2
Step-by-step explanation:
(-1,3) (1,-7)
Slope (m) = (-7-3)/(1+1) = -10/2 = -5
(-1,3)
y-y = m(x-x) = y-3 = -5(x - -1) = y-3= -5(x+1) =
y-3 = 5x-5
y = 5x - 5 + 3
y = 5x - 2
(100 points) Select the correct answer.
Danny's 7 friends contributed an equal amount of money to buy him a birthday present. The present cost $84. How much money did each friend contribute?
A. 12
B. 36
C. 48
D. 84
Answers
1 friend -> ?
84/7 = answer
Answer = 12
A) 12
Contribution per head
84/712Option A
Solve for
x. Round to the nearest tenth of a degree, if necessary.
Answers
Answer:
[tex]\displaystyle x \approx 30.8[/tex]
Step-by-step explanation:
Note that the figure is a right triangle, and that we are given the length of the side adjacent to x and the hypotenuse of the triangle.
Therefore, we can use the cosine ratio. Recall that:
[tex]\displaystyle \cos \theta = \frac{\text{adjacent}}{\text{hypotenuse}}[/tex]
The adjacent side is 8.5 and the hypotenuse is 9.9. Therefore:
[tex]\displaystyle \cos x = \frac{8.5}{9.9}[/tex]
We can take the inverse cosine of both sides:
[tex]\displaystyle x = \cos^{-1} \frac{8.5}{9.9}[/tex]
Use a calculator. Hence:
[tex]\displaystyle x \approx 30.8[/tex]
Please answer this question
Answers
factorise completely 4x^(2 )(x + 1) - 6x (x+1)
Answers
Answer:
[tex] {4x}^{2} (x + 1) - 6x(x + 1) \\ = (x + 1)(4 {x}^{2} - 6 x ) \\ = (x + 1)(2x)(2x - 3)[/tex]
explanation:
first choose the common factor by observation, it is (x + 1):
factorise it out:
= (x + 1)(4x² - 6x)
by observation in (4x² - 6x), common factor is 2x.
Factorise 2x out:
= (x + 1)[2x(2x - 3)]
Answer:
(4x2-6x) (x+1)
now common factor is (x+1) ,so,(4x2-6x) (x+1)
Please help me solve it .
Answers
9514 1404 393
Answer:
ii)
36 -16 = 206 -5 = 130 -11 = 19iii)
15 -6 = 95 +2 = 720 -4 = 16Step-by-step explanation:
Straightforward addition and subtraction. You could do this in 2nd grade. Work from lower right to upper left.
ii) 30 -11 = 19; 6 -5 = 1 . . . . bottom two rows
20 -1 = 19; 16 -5 = 11 . . . . right two columns
36 -16 = 20 . . . . top row
Check
36 -6 = 30 . . . . left column
Then the solution by row is ...
36 -16 = 206 -5 = 130 -11 = 19__
iii) Same deal, working from lower right.
20 -4 = 16 . . . . bottom row
9 +7 = 16 . . . . right column
6 -2 = 4 . . . . middle column
5 +2 = 7 . . . . middle row
15 -6 = 9 . . . . top row
15 +5 = 20 . . . . left column
The solution by row is ...
15 -6 = 95 +2 = 720 -4 = 16what is the smallest number to be subtracted from 9610,so that the remainder will be a perfect square
Answers
Answer:
Hello,
Answer 6
Step-by-step explanation:
[tex]\sqrt{9610} =98,03060...\\\\ENT(\sqrt{9610})=98\\\\9610-98^2=9610-9604=6\\\\[/tex]
The smallest number to be susbtracted is 6
11) Five must be the solution to 2x + 3 = 13 because 2(5) + 3 = 13.
Answers
Answer:
Yes, your right!
Question
Five people, each working 8 hours a day, can assemble 400 toys in a 5-day work week. What is the average
number of toys assembled per hour, per person?
Answers
1. Write a survey question for which you would expect to collect numerical
data.
2. Write a survey question for which you would expect to collect categorical
data.
Answers
Answer:
How many siblings do you have?
I hope this helps you out :)
2. A dolphin leaps 5 feet in the air at the same time an orca whale dives 12 feet below the water. How far apart are the whale and the dolphin?
Answers
Hope this helps
use the spinner to find the probability
Answers
Answer:
P(multiple of 5) = 0.1667
Step-by-step explanation:
The multiples of 5 on the spinner are 5 and 10. This means out of 12 numbers, only 2 multiples of 5. Therefore, there is a 2/12 chance to get a multiple of 5.
[tex]\frac{2}{12}=\frac{1}{6}=0.1667[/tex]
Therefore, P(multiple of 5) = 0.1667.
|x| = - |x| What can I write
Answers
Amanda has 1 3/4yds of red ribbon and 7/8yds of green
ribbon. What is the total amount of ribbon that
Amanda has? (write answer as a fraction)
Answers
Answer:
21/8 yds or 2 5/8 yds
Step-by-step explanation:
First turn 1 3/4 yards into an improper fraction so you can add it to 7/8 yards.
1 3/4 as an improper fraction is 7/4 yds
7/4 yds = 14/8 yds
14/8 yds + 7/8 yds = 21/8 yds
So the total amount of ribbon Amanda has is 21/8 yds or 2 5/8 yds
What is the circumference of a circle with a diameter of 9 cm?
Answers
Answer:
the answer=28.27cm
using formula
c=2πr
d=2r
solving for c
C=πd
=π.9
=28.27
hope it help you
look at the image to see
Answers
Answer:
surface area = perimeter of base x slant height all of it divided by 2 and then add area of base
pb = 4(6)=24 x 9.5 = 228 /2 = 114 + 36 = 150
hope that answers your question :)
please help me with this
Evaluate -8 × |2|.
Answers
Answer:
-16
Step-by-step explanation:
The absolute value of 2 is 2 so -8*2=-16
5√6 multiple 5√6 is equal
(a) 5√36
(b) 5√6×0
(c) 5√6
(d) 5√12
step by step
for brainlist.
solve :-
Answers
[tex]\\ \sf\longmapsto 5\sqrt{6}\times 5\sqrt{6}[/tex]
a×a=a^2[tex]\\ \sf\longmapsto (5\sqrt{6})^2[/tex]
[tex]\\ \sf\longmapsto 25\times 6[/tex]
[tex]\\ \sf\longmapsto 150[/tex]
But,
[tex]\\ \sf\longmapsto \sqrt{36}=6[/tex]
So
[tex]\\ \sf\longmapsto 5\sqrt{6}\times 5\sqrt{6}[/tex]
[tex]\\ \sf\longmapsto 5\sqrt{6\times 6}[/tex]
[tex]\\ \sf\longmapsto 5\sqrt{36}\checkmark[/tex]
If you need value then It is 150 but for your question its option aI) Find the volume in terms of pie
ii) curved surface area in terms of pie
iii) capacity in litres (correct to nearest litre)
Answers
Answer:
i) pi×4500 cm³
ii) pi×600 cm²
iii) 14 liters
Step-by-step explanation:
in general : the diameter is 30 cm, the radius is half of that (15 cm)
i)
the volume of a cylinder is base area times height.
Vc = pi×r²×h = pi×15²×20 = pi×225×20 = pi×4500 cm³
ii)
similar to volume, the side "mantle" area of the cylinder is the circumference of the base area times height.
surface area of the cylinder mantle is
Scm = 2×pi×r×h = 2×pi×15×20 = pi×30×20 = pi×600 cm²
iii)
for this we need now to do the multiplication with pi and then convert the cm³ to liters.
1 liter = a cube of 10 cm side length = 10×10×10 = 1000 cm³
pi×4500 = 14137.17 cm³ = 14.13717 liters or rounded 14 liters
Your boss asked you to prepare a company party for 20 employees with a budget of Rs. 50, 000.00. You have a choice of ordering a dinner at Rs. 3, 000.00 (Package 01) from “X-Hut Restaurant” per person or a dinner at Rs. 2,500.00 (Package 02) per person from the same place (Delivery charges also included in the price of the meal). i. How many numbers (From package 01 & 02) can you order for the party by using up the budget? ii. How many numbers (From package 01 & 02) can you order for the party if the budget increases to Rs. 55, 000.00?
Answers
Step-by-step explanation:
........... ................
helppfind the value of x and y
Answers
I know tje answer
x+6kkkkkkkk
Answer:
X=75°;AND Y=30°
Step-by-step explanation:
Angle( x+75°)+(y)=180°
Angle(2x)+(y)=180°
[by subtracting both the equation we get;]
-1x=-75
x=75°
Now,value of y;
2x+y=180
2×75+y=180
150+y=180
y=180-150
y=30°
8. Subtract the polynomials: (3x2 + 5x – 8) – (2x2 - 4x + 3)
please give steps!!
Answers
[tex]\\ \sf\longmapsto 3x^2+5x-8-(2x^2-4x+3)[/tex]
[tex]\\ \sf\longmapsto 3x^2+5x-8-2x^2+4x-3[/tex]
[tex]\\ \sf\longmapsto 3x^2-2x^2+5x+4x-8-3[/tex]
[tex]\\ \sf\longmapsto x^2+9x-11[/tex]
Answer:
(3×2+5x-8)-(2×2-4x-3) = (6+5x-8)-(4-4x-3)
= 6+5x-8-4+4x+3
= -3+9x
Sam is shopping for clothes. There's a 9% sales tax where he lives. Select the expression that gives the price of clothes after including the sales tax, where c is the original cost of the clothes.
1c + 0.9c
Incorrect Response
1.09c + 0.09c
Correct Answer
1.09c
Answers
Answer:
1.09c
Step-by-step explanation:
The clothes cost c before tax.
The tax is 9% of the price of the clothes, or 9% of c.
To find a percent of a number, change the percent to a decimal and multiply by the number.
9% as a decimal is 0.09
9% of c = 9% * c = 0.09c
The amount of tax is 0.09c.
Now we add the amount of tax to the original price, c.
c + 0.09c = 1.09c
Answer: 1.09c
determine the slope and the y intercept of the line 63=-9y
Answers
Answer:
-7
Step-by-step explanation:
63 divided by -9 = y
63 divided by -9 = -7
Check answers :
-9 x -7 = a
a= 63
If 6 pounds of fruit is 96 cents how much is one pound
Answers
Answer:
16 cents per pound
Step-by-step explanation:
Take the cost and divide by the number of pounds
96 cents / 6 lbs
16 cents per pound
Hot-dog buns come in packages of 10. Wieners come in
packages of 12. Barry would like to buy the smallest
number of hot-dog buns and wieners so that he will have
exactly 1 wiener per bun. How many packages of hot-dog
buns and wieners must he buy?
A 6 packages of buns, 5 packages of wieners
B 5 packages of buns, 5 packages of wieners
C 8 packages of buns, 7 packages of wieners
05 packages of buns, 4 packages of wieners
Answers
Answer:
A 6 Packages of buns and 5 packages of wieners.
Step-by-step explanation:
Because if you multiply 6x10 you get 60 and if you multiply 5x12 you get 60 exactly 1 wieners per bun
The sample survey showed that 72% of Internet users said the Internet has generally strengthened their relationship with family and friends. Develop a 95% confidence interval for the proportion of respondents who say the Internet has strengthened their relationship with family and friends.
Answers
Answer:
The 95% confidence interval for the proportion of respondents who say the Internet has strengthened their relationship with family and friends is:
[tex]0.72 \pm 1.96\sqrt{\frac{0.72*0.28}{n}}[/tex]
In which n is the sample size of the survey.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
The sample survey showed that 72% of Internet users said the Internet has generally strengthened their relationship with family and friends.
This means that [tex]\pi = 0.72[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
Confidence interval:
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.72 \pm 1.96\sqrt{\frac{0.72*0.28}{n}}[/tex]
The 95% confidence interval for the proportion of respondents who say the Internet has strengthened their relationship with family and friends is:
[tex]0.72 \pm 1.96\sqrt{\frac{0.72*0.28}{n}}[/tex]
In which n is the sample size of the survey.
Which numbers are 9 units from −5 on this number line?
Drag and drop all of the numbers that are 9 units from −5 to their correct position on the number line.
-14,-5 -4 4 5 9
Answers
Answer:
-14 and 4
Step-by-step explanation:
To find the values subtract 9 from -5, as well as add 9 to -5
-5-9= -14
-5+9= 4
a babay weighs 8 & 1/4 pounds at birth two weeks later she weighs 8 & 7/8 how much weight did the baby gain
Answers
Answer:
⅝ pounds
Step-by-step explanation:
Weight at birth = 8¼ pounds
Weight after two weeks = 8⅞ pounds
[tex]Weight \: gain \\ = Weight \: after \: two \: weeks - Weight \: at \: birth \\ = 8 \frac{7}{8} \: pounds - 8 \frac{1}{4} \: pounds \\ = (8 \frac{7}{8} \: - 8 \frac{1}{4}) \: pounds \\ = (8 \frac{7}{8} \: - 8 \frac{2}{8}) \: pounds \\ = ( \frac{7}{8} \: - \frac{2}{8}) \: pounds \\ = \frac{5}{8} \: pounds[/tex]
