A wheel has 22 spokes evenly distributed around the rim of the wheel. What is the measure, in radians, of the central angle formed by adjacent pairs of spokes?
Answers
To find the radian measure between adjacent spokes of a wheel, you divide 2π by the number of spokes. In this case, the wheel has 22 spokes, leading to a radian measure of approximately 0.286 radians for the angle between adjacent spokes.
Explanation:The topic of the question pertains to geometry and radian measures. In a full circle, there are 2π radians. If a wheel has 22 spokes, each spoke defines a section of the circle equally. So, you would divide 2π by 22 to determine the measure, in radians, of the central angle formed by adjacent pairs of spokes.
Step-by-step calculation: The formula for calculating this is 2π/n, where n is the number of sections (or spokes). Therefore, the radian measurement of the angle between adjacent spokes would be 2π/22 = 0.286 radians when rounded up.
Learn more about Radian Measures here:https://brainly.com/question/35812906
#SPJ2
Related Questions
Using only definition 2.2.3, prove that if (x
Answers
Which of the following expressions represents the total earnings of a commissioned employee earning 9.5% commission with sales of $8,540?
Answers
Matlab the equation of a circle with its center at x=3 and y=2 is given by , where r is the radius of the circle. first derive the equation(symbolically) of the tangent line to the circle at the point on the upper part of the circle ( and ). then for specific values of r, , , make a plot of the circle and the tangent line. (r=9, )
Answers
[tex](x-h)^2+(y-k)^2=r^2[/tex]
we are given
center is at (3,2)
[tex](x-3)^2+(y-2)^2=r^2[/tex]
solving for y
[tex](y-2)^2=-1(x-3)^2+r^2[/tex]
[tex]y-2=\sqrt{-1(x-3)^2+r^2}[/tex]
[tex]y=2+\sqrt{-1(x-3)^2+r^2}[/tex]
take the derivitive to find the slope at any point
[tex]\frac{dy}{dx}=((-1)(x-3)^2+r^2))(-x+3)[/tex]
we can use point slope form
for apoint (h,k) and slope m, the equation is
y-k=m(x-h)
not sure if you want in terms of what
I'll just say for a point (h,k)
so we get
[tex]y-k=((-1)(x-3)^2+r^2))(-x+3)(x-h)[/tex]
where [tex]k=2+\sqrt{-1(h-3)^2+r^2}[/tex]
that's the equation of the tangent line at (h,k) for arbitrary values of r
do the plots and other stuff yourself
To derive the equation of the tangent line to the circle, differentiate the circle equation implicitly and substitute the coordinates of a point on the circle to find the specific equation. For r = 9 and x = 3, the specific equation of the tangent line is y = 9 + 3x. Use software like Matlab or a graphing calculator to plot the circle and the tangent line.
Explanation:To derive the equation of the tangent line to the circle at the upper part, we need to find the slope of the tangent line and the coordinates of a point on the circle. The slope of a tangent line to a circle at a given point is the negative reciprocal of the slope of the radius from the center to that point. In this case, the center of the circle is (3, 2) and the radius is 9, so the equation of the circle is (x-3)^2 + (y-2)^2 = 9^2. By differentiating this equation implicitly, we can find the slope of the tangent line.
The equation of the circle is (x-3)^2 + (y-2)^2 = 81.
Differentiating implicitly with respect to x:
2(x-3) + 2(y-2) dy/dx = 0
Simplifying:
(x-3) + (y-2) dy/dx = 0
(y-2) dy/dx = 3-x
dy/dx = (3-x) / (y-2)
To find the slope of the tangent line at the upper part of the circle, we substitute y = 2 + sqrt(81 - (x-3)^2) into the derived equation of dy/dx. After simplifying, we can substitute the coordinates of a point on the circle to find the specific equation of the tangent line.
For r = 9 and x = 3, the specific equation of the tangent line is y = 9 + 3x.
To make a plot of the circle and the tangent line, we graph both the circle equation and the tangent line equation using a software like Matlab or a graphing calculator.
Learn more about Equation of a circle and tangent line here:https://brainly.com/question/34424043
#SPJ12
Prove that if an converges to a nonzero constant then 1/an is bounded
Answers
Now, [tex]a_n\to k\neq0[/tex] is to say that for any [tex]\varepsilon>0[/tex], we can find a large enough [tex]N[/tex] such that [tex]|a_n-k|<\varepsilon[/tex] whenever [tex]n\ge N[/tex]. Simultaneously, this means that [tex]a_n[/tex] is bounded.
Let's suppose without loss of generality that [tex]a_n\neq0[/tex] for any [tex]n[/tex]. (Note that if [tex]a_n=0[/tex] for some finite number of values of [tex]n[/tex], we can simply remove them from consideration.)
So we have
[tex]|a_n-k|=\left|a_n\left(1-\dfrac k{a_n}\right)\right|=|a_n|\left|1-\dfrac k{a_n}\right|<\varepsilon[/tex]
Because [tex]a_n[/tex] is bounded, we know there is some [tex]\alpha[/tex] such that [tex]|a_n|\le\alpha[/tex] for all [tex]n[/tex]. Now,
[tex]|a_n|\left|1-\dfrac k{a_n}\right|\le\alpha\left|1-\dfrac k{a_n}\right|<\varepsilon[/tex]
[tex]\left|1-\dfrac k{a_n}\right|<\dfrac\varepsilon\alpha[/tex]
[tex]-\dfrac\varepsilon\alpha<1-\dfrac k{a_n}<\dfrac\varepsilon\alpha[/tex]
[tex]-1-\dfrac\varepsilon\alpha<-\dfrac k{a_n}<-1+\dfrac\varepsilon\alpha[/tex]
[tex]1-\dfrac\varepsilon\alpha<\dfrac k{a_n}<1+\dfrac\varepsilon\alpha[/tex]
[tex]\dfrac1k-\dfrac\varepsilon{\alpha k}<\dfrac 1{a_n}<\dfrac1k+\dfrac\varepsilon{\alpha k}[/tex]
But we initially assumed that [tex]\dfrac1{a_n}[/tex] is unbounded, so the above is impossible. Thus [tex]\dfrac1{a_n}[/tex] must be bounded.
Solve ( x + 4 ) / 2 = ( x - 3 ) / 3
Answers
regroup terms
multiply both sides by 6 (The LCM of 2,3)
expand
subtract 2x from both sides
simplify 3x + 12 - 2x to x + 12
subtract 12 from both sides
simplify -6 - 12 to -18
Answer: x = -18.
Is 0.5 greater than or less than 6/10
Answers
The outside diameter of a pipe is 5 and 7/32 inches. The walls of the pipe are 5/32 inches thick. What is the inside diameter?
Answers
thus
[tex]\bf 5\frac{7}{32}-\cfrac{5}{32}\implies \cfrac{5\cdot 32+7}{32}-\cfrac{5}{32}\implies \cfrac{167}{32}-\cfrac{5}{32}\implies \cfrac{162}{32} \\\\\\ \cfrac{81}{16}\implies 5\frac{1}{16}''[/tex]
A segment has endpoints ar (-2,3) and (7,9) how long is the segment
Answers
The length of a rectangle is 11 m greater than the width. The area is 42 m^2. Find the length and width.
Answers
michael wittry has been investing inhis roth IRA retirement account for 20 years. Two years ago his account was worth $215,658. after losing 1/3 of its origional value, it then gained 1/2 of its new value back, what is the current value of his roth IRA?
Answers
a = 215,658
ok... so.. he first lost 1/3 of that
[tex]\bf \textit{\underline{lost} }\frac{1}{3}a\qquad \qquad a-\cfrac{1}{3}a\implies a-\cfrac{a}{3}\implies \cfrac{3a-a}{3}\implies \cfrac{2a}{3} \\\\\\ \textit{then he \underline{gained} }\frac{1}{2}\textit{ of }\frac{2a}{3}\qquad \qquad \cfrac{2a}{3}+\cfrac{\frac{2a}{3}}{2}\implies \cfrac{\frac{2a}{3}}{\frac{2}{1}} \\\\\\ \cfrac{2a}{3}+\cfrac{2a}{3}\cdot \cfrac{1}{2}\implies \cfrac{2a}{3}+\cfrac{2a}{6}\implies \cfrac{4a+2a}{6} \\\\\\ \cfrac{6a}{6}\implies \boxed{a}\implies 215,658[/tex]
so, his nickname might just be even steven, because, he ended up with the same original amount after the 1/2 bump.
His current value is 215658 dollars.
How to calculate a fraction of amount of a total amount ?To calculate a fraction of amount of a total amount just multiply the given fraction to the total amount.
According to the given question
Michael wittry has been investing in his roth IRA retirement account for 20 years.
Two years ago his account was worth $215,658.
1/3rd of it's original value is
= (1/3) × 215658
= 71886 dollars.
∴ Remaining value is
=(215658 - 71886)
=143772 dollars.
After some time it gained half of it's new value back
∴ Half of this new value is
(1/2) × 143772
= 71886 dollars.
So , the current value is
(143772 + 71886)
=215658 dollars.
Actually his currect value of roth IRA is same as it was two years ago.
Learn more about fractions here :
https://brainly.com/question/10354322
#SPJ2
The distance that light travels in 1 second is 186,000 miles. How far will light travel in 1 year? (There are approximately 31,500,00 seconds in 1 year. ) change the numbers to scientific notation and then perform the appropriate operations.
Answers
31,500,000 seconds per yr....3.15 x 10^7
how far will light travel in 1 yr...
(1.86 x 10^5)(3.15 x 10^7) =
(1.86 * 3.15)(10^5 * 10^7) =
5.859 x 10^12 miles in 1 yr <===
(5,859,000,000,000 miles)....whoa....a lot of traveling...thats like 5 trillion + miles
mathematical modeling results in formulas that give exact values of real world phenomena over time
Answers
3a/(a+1)^2
Give the equivalent numerator if the denominator is (a + 1)³.
Answers
To make the denominator a cube, you would have to multiply by 1 or (a+1)/(a+1)
yielding 3a(a+1)/(a+1)^3
(3a^2 + 3a) is the equivalent numerator
Answer:
3a(a+1)
Step-by-step explanation: for those who were confused on the other asnwer he gave a different veriation of this answer. however it is correct.
Brainliest plsss
jada gets 2 new packs of earses.each pack has 6 earsers in it. draw an array to show how many erasers Jada has together
Answers
solve (6-5x)/10-(2x+1)/5+x/3=2x/15
Answers
multiply both sides by 30 which is the LCM of 10, 5, 3, and 15
expand it
simplify 18 - 15x - 12x - 6 + 10x to 12 - 17x
add 17x to both sides
add 4x + 17x to = 21x
divide both sides by 21
simplify 12/21 to 4/7
now simplify
Answer: x = 4/7.
Harry estimates that the dinner will have 48 g of fat. if the recommended daily allowances is 70 g What percentage of her total daily allowance of fat will the dinner be
Answers
divide 48 by 70
48 / 70 = 0.6857 = 68.6%
Which of the following is the inverse of the statement "If I like math, then I like science"? A. If I do not like science, then I do not like math. B. If I do not like math, then I like science. C. If I do not like math, then I do not like science. D. If I like science, then I like math
Answers
Inverse: If not P, then not Q
Using that template, the inverse would be "If I do not like math, then I do not like science" (simply insert those two "not" words keeping the order the same)
so the answer is choice C
Answer:
Option C If I do not like math, then I do not like science
Step-by-step explanation:
we know that
To find the inverse of a conditional, negating both the hypothesis and conclusion of a conditional statement
In this problem we have
"If I like math, then I like science"
therefore
the inverse is
If I do not like math, then I do not like science
The 1998 team payroll of the Baltimore orioles was $68,988,134
Answers
A washer and a dryer cost $795 combined. The washer costs $55 less than the dryer. What is the cost of the dryer?
Answers
round 2,412 to the nearest thousands
Answers
If you drive for 2 hours, at 60 miles per hour, you will have traveled 120 miles. this is a very common type of calculation, involving three quantities: distance, rate and time. if you know just two of these three quantities, you can always calculate the third. thus, if you want to know how much time it is going to take you to get somewhere, and you know that the distance is 120 miles and you will drive at a rate of 60 miles per hour, you can divide the 120 miles by the 60 miles per hour and obtain a time of 2 hours.
Answers
Factor:
7s(x−2y)+2t(x−2y)+2(x−2y)=
Answers
Hope this helps.
50 POINTS!!! DO NOT ANSWER JUST FOR THE POINTS!!! IF YOU DO, ALL OF YOUR EARNED POINTS WILL BE TAKEN~~~~~~~~~~~~~~~
Refer to the graph.
The function is increasing on the interval(s):
The function is decreasing on the interval(s):
The function is constant on the interval(s):
Please explain the steps you used.
Answers
Shelia mixed 3 ounces of blue paint with 2 ounces of yellow paint. She decided to create 20 ounces of the same mixture. How many ounces of yellow paint does Sheila need for the new mixture?
Please explain!!
Answers
Then you divide 20 by 5 you get 4
Then multiply 4 by 2 ounces you get 8
Sheila will need 8 ounces of of yellow paint for the new mixture.
If a1=2, b2=3, and c3=10, the resulting value of =a1-b2+c3/10 is ____. 4 1 0 11/10
Answers
2-3+10÷10
2-3+1
-1+1=0
12 tenths plus 9 tenths =21 tenths = ____ ones _____ tenths
Answers
Lydia makes 10 pancakes she tops each pancake with for blueberries how many blueberries does Lydia use in all use the break apart and distribute strategy and draw a number bond to solve
Answers
An important part of customer service responsibilities of a cable company relates to the speed with which trouble in service can be repaired. Historically, the data show that the likelihood is 0.75 that troubles in a residential service can be repaired on the same day. For the first 5 troubles reported on a given day, what is the probability that fewer than 2 troubles will be repaired on the same day?
Answers
D. .2373
Hope this helps
Answer:
The probability that fewer than 2 troubles will be repaired on the same day is:
0.015576
Step-by-step explanation:
We have to use the Binomial function is n=order to calculate the probability of r successes out of the n-events.
We know that the probability of r success out of the n-events is given by:
[tex]P(X=r\ successes)=n_C_r\cdot p^r\cdot (1-p)^{n-r}[/tex]
where p is the probability of an success.
Here we have:
n=5 and r=0,1.
since we are asked to find the probability that fewer than 2 troubles will be repaired on the same day.
i.e we have to find:
[tex]P(X<2)=P(X=0)+P(X=1)[/tex]
Also p=0.75 ( since, likelihood is 0.75 that troubles in a residential service can be repaired on the same day )
Hence,
[tex]P(X=0)=5_C_0\cdot (0.75)^{0}\cdot (1-0.75)^{5-0}\\\\P(X=0)=1\cdot 1\cdot (0.25)^5\\\\P(X=0)=0.000976[/tex]
and
[tex]P(X=1)=5_C_1\cdot (0.75)^{1}\cdot (0.25)^{5-1}\\\\P(X=1)=5\cdot (0.75)\cdot (0.25)^4\\\\P(X=1)=0.0146[/tex]
Hence,
[tex]P(X<2)=0.000976+0.0146\\\\P(X<2)=0.015576[/tex]
Hence, the probability that fewer than 2 troubles will be repaired on the same day is:
0.015576
what does 3.35 equal to
Answers
Hope this helps.
Have a blessed day.
Find the dimensions of a rectangle with a perimeter of 148 feet that has the maximum area
Answers
The dimensions of the rectangle with a perimeter of 148 feet that has the maximum area would be 37 feet by 37 feet, forming a square. The maximum area of the rectangle is 1369 square feet.
Explanation:To find the dimensions of a rectangle with a known perimeter and the maximum area, first understand that the rectangle with the maximum area is a square. In this case, the perimeter is 148 feet.
To calculate the side length of the square, divide the perimeter by 4. Thus, the side of the square would be 148 feet / 4 = 37 feet. Therefore, the maximum area will be achieved when each side of the rectangle is 37 feet long, making it a square with these dimensions.
The maximum area of such a rectangle, which in this case is a square, is obtained by squaring the side length: Area = side × side = 37 feet × 37 feet = 1369 square feet.