Find the length of AB. A 0140 AB = [?] 140° 8 m B Round your answer to the nearest hundredth.
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[tex]\huge{ \mathfrak{ \underline{ Answer} \: \: ✓ }}[/tex]
Radius (r) = 8mAngle made at centre [tex](\theta)[/tex] = 140°[tex] \boxed{ \mathrm{length \: \: of \: \: arc = \dfrac{ \theta}{360 \degree} \times 2\pi r}}[/tex]
[tex] \dfrac{140}{360} \times 2 \times 3.14 \times 8[/tex][tex] \dfrac{7}{18} \times 50.24[/tex][tex] \dfrac{351.64}{18} [/tex][tex]19.54 \:m[/tex]_____________________________
[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]
Length of arc AB on circle is 30.72 m.
What is circular arc?A circular arc is an arc between two different points. If the two points are not diametrically opposed, one of these arcs, the minor arc, forms an angle of less than π radians (180 degrees) with the center of the circle. The other circular arc, the main arc, makes an angle greater than π radians. An arc is defined as a portion or segment of the circumference. A straight line connecting the two ends of an arc is called a chord. If the arc length is exactly half the circle, it is called a half arc.
Given,
Circle with center O
Radius of circle OA = OB = 8m
Angle made by minor arc AB on center of circle α = 140°
then angle made by main arc AB = 360° - 140° = 220°
π = 180°
1° = π/180°
220° = 220°π/180°
220° = 11π/9
220° = 3.84 Rad
Length of arc on circle
= Radius of circle × angle made by the arc on center of circle in radians
= 8 × 3.84
= 30.72 m
Hence, 30.72 m is length of the arc AB.
Learn more about circular arc here:
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Related Questions
HELP!!! Find the angle measure.
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Answer:
AOB=40°
COD=90°
BOD=130°
AOD=180°
Just number one and two help please
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Answer:
not sure about answer for 2 but here is the answer for question 1...
Step-by-step explanation:
answer for 1.
Volume = bridth × height
volume = 1.5cm × 8cm
volume = 12cm
Which of these lines is perpendicular to the line 5y = -6x + 2?
Answers
Answer:6y= -5x + 3
Step-by-step explanation:
The product of the slope of the perpendicular lines is equal to a negative one. Then the equation of the perpendicular line is 6y = 5x.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
The equation of the line is given below.
5y = -6x + 2
The slope of the equation is -6/5.
Then the equation of the line which is perpendicular to 5y = -6x + 2 is given as
y = mx + c
The product of the slope of the perpendicular lines is equal to a negative one.
The slope of the perpendicular line will be
(-6/5) m = -1
m = 5/6
Then the equation will be
y = (5/6)x + c
Let the equation is passing through the origin, then we have
6y = 5x
More about the linear system link is given below.
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ABC Bookstore sells packages of books that include both new and used books. New books cost $16 and used books cost $8. The bookstore wants to sell packages that have 30 books total, and the store charges $336 for each package. How many new and used books will be in each package?
A. 318 new, 12 used
B. 12 new, 18 used
C. 16 new, 8 used
D. 8 new, 16 used
(It's B, just took the test)
Answers
Answer:
b
Step-by-step explanation:
the following equations can be determined from the question
16n + 8o = 336 equation 1
n + o = 30 equation 2
where n = new books
o = old books
Multiply equation 2 by 8
8n + 8o = 240 equation 3
subtract equation 2 from 1
8n = 96
n = 12
substitute for n in equation 2
12 + o = 30
o = 18
Answer:
B. 12 new, 18 used
Step-by-step explanation:
Hope this helps!
Need help with inscribed angles If M
Answers
Given:
In the given circle O, BC is diameter, OA is radius, DC is a chord parallel to chord BA and [tex]m\angle BCD=30^\circ[/tex].
To find:
The [tex]m\angle AOB[/tex].
Solution:
If a transversal line intersect two parallel lines, then the alternate interior angles are congruent.
We have, DC is parallel to BA and BC is the transversal line.
[tex]\angle OBA\cong \angle BCD[/tex] [Alternate interior angles]
[tex]m\angle OBA=m\angle BCD[/tex]
[tex]m\angle OBA=30^\circ[/tex]
In triangle AOB, OA and OB are radii of the circle O. It means OA=OB and triangle AOB is an isosceles triangle.
We know that base angles of an isosceles triangle are congruent.
[tex]\angle OAB\cong \angle OBA[/tex] [Base angles of an isosceles triangle]
[tex]m\angle OAB=m\angle OBA[/tex]
[tex]m\angle OAB=30^\circ[/tex]
In triangle AOB,
[tex]m\angle OAB+m\angle OBA+m\angle AOB=180^\circ[/tex]
[tex]30^\circ+30^\circ+m\angle AOB=180^\circ[/tex]
[tex]60^\circ+m\angle AOB=180^\circ[/tex]
[tex]m\angle AOB=180^\circ-60^\circ[/tex]
[tex]m\angle AOB=120^\circ[/tex]
Therefore, the measure of angle AOB is 120 degrees.
A telephone pole casts a shadow that is 12 feet long. At the same time, a man standing nearby who is 6 feet tall casts a shadow that is 2 feet 4 inches long. How tall is the
telephone pole to the nearest foot?
The telephone pole is feet tall
Answers
Answer:
31 feets
Step-by-step explanation:
Given that :
Telephone shadow Ts = 12 feets
Man's height, Mh= 6 feets
Man's shadow, Ms = 2 feets 4 inches
Height of telephone, Th =?
Recall :
1 foot = 12 inches
x foot = 4 inches
12x = 4
x = 4/12 = 1/3 inches
Hence, man's shadow = 2 1/3 feets =
Using cross multiplication :
Mh / Ms = Th / Ts
6 / 7/3 = Th / 12
6 / 2.33333 = Th / 12
12 * 6 = 2.33333 * Th
72 = 2.33333 Th
Th = 72 / 2.333333
Th = 30.85
Height of telephone pole = 31 feets
please answer!!! Express cos J as a fraction in simplest terms.
Answers
Answer:
Step-by-step explanation:
You need JL. Use the Pythagorean Theorem to get it.
a^2 + b^2 = c^2
a = 9
b = 40
c = ?
9^2 + 40^2 = c^2
c^2 = 1681
sqrt(c^2) = sqrt(1681)
c = 41
Cos(j) = adjacent / hypotenuse
adjacent = 9
hypotenuse = 41
Cos(J) = 9 / 41
A ball moves in a straight line has an acceleration of a(t) = 2t + 5. Find the position function of the ball if its initial velocity is -3 cm per second and it’s initial position is 12 cm.
Answers
Answer:
[tex]s(t) = frac{t^3}{3} + \frac{5t^2}{2} - 3t + 12[/tex]
Step-by-step explanation:
Relation between acceleration, velocity and position:
The velocity function is the integral of the acceleration function.
The position function is the integral of the velocity function.
Acceleration:
As given by the problem, the acceleration function is [tex]a(t) = 2t + 5[/tex]
Velocity:
[tex]v(t) = \int a(t) dt = \int (2t+5) dt = \frac{2t^2}{2} + 5t + K = t^2 + 5t + K[/tex]
In which K is the constant of integration, which is the initial velocity. So K = -3 and:
[tex]v(t) = t^2 + 5t - 3[/tex]
Position:
[tex]s(t) = \int v(t) dt = \int (t^2 + 5t - 3) = \frac{t^3}{3} + \frac{5t^2}{2} - 3t + K[/tex]
In which K, the constant of integration, is the initial position. Since it is 12:
[tex]s(t) = frac{t^3}{3} + \frac{5t^2}{2} - 3t + 12[/tex]
help asap people!!!! thanks.
Answers
Hello i need some help
Answers
Which terms are like terms?
4c, 2, 6f, -5, and 7c
Answers
4c and 7c are like terms since they have same variable ‘c’
2 and -5 are like terms because both of them have no variable
Answer:
2 and -5
4c and 7c
Step-by-step explanation:
2 and -5 have no coefficient
4 and 7 have the same coefficient which in this case is c.
therefore the two pairs are like terms.
Erin has two cats. The larger cat weighs 2.6 pounds more than the smaller cat. The combined weight of the two cats is 19.6 pounds. What is the weight, in pounds of the smaller cat?
Answers
Answer:
7.2
Step-by-step explanation:
just divide the total weight by 2 and add 2.6. after adding 2.6 you subtract that weight from the total.
Garnet has a container with 15 1/2 cups of flour in it. She can make one dozen muffins with 2 1/2 cups of flour. How many dozens
of muffins can Garnet make with the flour she had?
Answers
Answer:6 1/5
Step-by-step explanation:
Lets start by saying that one dozen is 12 and not a bakers dozen (13)
We will first see how many times 2 1/2 can go into 15 1/2 by dividing the two
[tex]15\frac{1}{2} /2\frac{1}{2}=6\frac{1}{5}[/tex]
then we can verify by multiplying 2 1/2 and 6 1/5
[tex]2\frac{1}{2} *6\frac{1}{5} =15\frac{1}{2}[/tex]
Subtract: (x3 + x3 + 6) - (x3 - 2x + 1).
Answers
Answer:
Your answer would be 5x+5
Let u = x ^ 2 + 3 . Which equation is equivalent to (x ^ 2 + 3) ^ 2 + 21 = 10x ^ 2 + 30 in terms of u?
Answers
Answer:i think that it is B
u^2 - 10u + 51=0
Step-by-step explanation:
What do I do? In need of help immediately
Answers
Answer:
27 ft
Step-by-step explanation:
Im assuming you need to find the area of the triangle based on the information you are given...
In that case, plug the values into the formula for tirangle area:
[tex]A=\frac{bh}{2}[/tex]
To get: [tex]A=\frac{(6)(9)}{2}[/tex]
Solve to get: 27
Hep pleaseeeeeeeeeeee
Answers
Step-by-step explanation:
volume cylinder 1 =
3.14× 3²× 5 = 3.14×45 = 141.3 in³
volume cylinder 2 =
3.14× 5²× 2 = 3.14× 50= 157 in³
the volume difference between cylinder 1 & 2 =
157 - 141.3 = 15.7 in³
Find the surface area of the composite solid.
Answers
Answer:
343.6 meters cubed
Step-by-step explanation:
28+96+96+96+27.6=343.6
Distribute this expression: ab(5c+9)
Answers
Answer:
9b+5cb
Step-by-step explanation:
What kind of angle is this?
>) obtuse angle
acute angle
straight angle
right angle
Answers
Answer:
acute?
Step-by-step explanation: wheres the shape??
Answer: no picture?
Step-by-step explanation:
I need some help!! I will try to give brainliest!!!
Answers
180-127=53
53+60=113
180-113= 67
Based on the figure below, what is the value of x? (5 points) A right angle is shown divided in two parts. The measure of the angle of one part is 20 degrees and the measure of the other part is 5x plus 15 degrees.
1
9
11
15
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a right angle = 90 they give you 20 so the remaining part of the angle is 70 so set the equation = to 70
5x+15=70 and solve
What is A line that a graph approaches as x or y increases, but never crosses?
Answers
Answer:
Asymptotes. The y -axis is a vertical asymptote of the graph. This means that the curve gets closer and closer to the y -axis but does not cross it. Let us consider what happens as the value of x approaches zero from the right for the equation whose graph appears above.
Step-by-step explanation:
which model shows all of these numbers correctly placed one the number line
Answers
Answer:
2nd
Step-by-step explanation:
bec 1\8 = 0.125 so it must be close more to 0
and the 1.33 is bigger than 1.25
Write the equation of the line perpendicular to x= -3 through the point (-5,-4)
Answers
Answer:
y= - 4
Step-by-step explanation:
What are the greatest commom factor of 2x2x3x5 and 2x3x3x5
Answers
Answer:
[tex] \huge \bold \purple{answer}[/tex]
The greatest common factor of 2x2x3x5 and 2x3x3x5 is 2x3x5if jason had2/7 cakes and 5/9 how much wood that be
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a. Calculate the sample proportion of respondents who have a college degree. The sample proportion of respondents who have a college degree is
Answers
Answer:
20% , based on example.
Step-by-step explanation:
Let the number of sampling respondents be = 100
If out of them 35 have low school education, 45 have high school education, 20 have college degree education.
So, sample proportion of respondents, who have college degree = No. of people who have college degree / Total sample respondents = 20 / 100 = 20% or 0.2 proportion.
5. A simple random sample is defined by
(A) the method of selection
(B) how representative the sample is of the population
(C) whether or not a random number generator is used
(D) the assignment of different numbers associated with the outcomes of some
chance situation
(E) examination of the outcome
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Answer:
b. because if there is a bigger population the sample will be more random
Question 7 (3 points) What is the value of the missing side? Round to the nearest hundredth
Answers
Answer:
26.03
Step-by-step explanation:
x/ sin 90° = 19/ sin 47°
x = 19×sin90°/sin 47°
= 19 / 0.73
= 26.03