Circle O has a radius of 5 centimeters and central angle AOB with a measure of 60°. Describe in complete sentences how to find the length, in terms of a radian measure, of AB.
Answers
Answer:
We can use the formula for finding arc length given ccx central angle and radius.(insert formula below) We then substitute 5 in for r and and 60 for x. We multiply 2 pi times 5 which gives us 10. We then reduce the fraction of 60/360 to 1/6. We multiply 10 pi by 1/6 and that gives us
10 pi/6 or 5 pi/3
Step-by-step explanation:
We can use the formula
[tex]2\pi \times r( \frac{x}{360} )[/tex]
to find the arc length where r is the radius.
and x is the arc measure.
Plug it in for the numbers
[tex]2\pi \times 5( \frac{60}{360} )[/tex]
Multiply 2 pi times 5=10 pi
[tex]10\pi( \frac{60}{360} )[/tex]
Simplify 60/360 to 1/6
[tex]10\pi \times \frac{1}{6} = \frac{10\pi}{6} [/tex]
Reduce it to
[tex] \frac{5\pi}{3} [/tex]
Related Questions
Milo earns his regular pay of $12.00 per hour for up to
40 hours of work per week. For each hour over
40 hours of work per week, Milo earns 1 times his
regular pay. How much does Milo earn in a week in
which he works 45 hours?
Answers
Answer: $540
Step-by-step explanation:
If Milo works 40 hours for the week, he earns $12.00 per hour.
If Milo works anything over $40, he makes 1 times his normal pay which means that he is making the same amount over 40 hours as he is under 40 hours.
If he works 45 hours therefore, his pay is:
= 45 * 12
= $540
solve the equation 3(x+4)=60
Answers
Answer:
x = 16
Step-by-step explanation:
3(x + 4) = 60
3x + 12 = 60 (I got this using the distributive property)
-12 -12
----------------------
3x = 48
÷3 ÷3
----------------
x = 16
Tamara walked for 2 1/4 miles . How many feet did she walk ?
Answers
Answer:
11880 feet!
Hope you get this correct
What is the greatest common factor (GCF) of 12x and (3x^2 + 6x)?
(B) 3x
(C) X + 2
(D) 3x(x + 2)
(A) 3
Answers
Quadrilateral IJKL is similar to quadrilateral MNOP. Find the measure of side NO. Round your answer to the nearest tenth.
Answers
Answer:
[tex]NO = 66.9[/tex]
Step-by-step explanation:
Given
See attachment for quadrilaterals IJKL and MNOP
Required
Determine the length of NO
From the attachment, we have:
[tex]KL = 9[/tex]
[tex]JK = 14[/tex]
[tex]OP = 43[/tex]
To do this, we make use of the following equivalent ratios:
[tex]JK : KL = NO : OP[/tex]
Substitute values for JK, KL and OP
[tex]14 : 9 = NO : 43[/tex]
Express as fractions
[tex]\frac{14}{9} = \frac{NO}{43}[/tex]
Multiply both sides by 43
[tex]43 * \frac{14}{9} = \frac{NO}{43}*43[/tex]
[tex]43 * \frac{14}{9} = NO[/tex]
[tex]\frac{43 * 14}{9} = NO[/tex]
[tex]\frac{602}{9} = NO[/tex]
[tex]66.8889 = NO[/tex]
[tex]66.9 = NO[/tex] --- approximated
[tex]NO = 66.9[/tex]
Answer:
Quadrilateral DEFG is similar to quadrilateral HIJK. Find the measure of side KH. Round your answer to the nearest tenth. Figures are not drawn to scale.
Step-by-step explanation:
William doubled the amount of money he had after raking leaves. Now he has $24.50. How much money did he hav before he doubled it?
Represent the amount that William had as the quotient of two rational numbers: then, determine how much money William had before he double it.
Answers
Answer:
x=8.16
Step-by-step explanation:
x=the money before
2x=doubled
3x=24.50
x=8.16
Answer:
The answer would be...
Step-by-step explanation:
$12.25 Because if you divide $24.50 by 2 then you would get the amount of money William had before he got doubled which would be $12.25.
Hope this helped
:)
The LSA of square based pyramid with equal edges is 144 square root 3. Find the area of base ?
Answers
a2=LSA/3–√=144
a a a a a a a a a a a a a
a bag of marbles contains 4 red marbles and 4 green marbles each red marble was labeled with a different number 1 through 4 and each green marble was labeled with a different number 1 through 4
Answers
Answer:
5/144
Step-by-step explanation:
Answer:
B. A = {G2, G4, R2, R4}
Step-by-step explanation:
The stock of Company A gained $2.75 throughout the day and ended at a value of $71.50. By what percentage did the stock rise?
Answers
Answer:
4%
Step-by-step explanation:
New value:
$
71.50
New value: $71.50
Old value:
71.5
−
2.75
=
$
68.75
Old value: 71.5−2.75=$68.75
68.75
(
1
+
r
)
=
71.5
68.75(1+r)=71.5
68.75
(
1
+
r
)
68.75
=
71.5
68.75
68.75
68.75(1+r)
=
68.75
71.5
1
+
r
=
1.04
1+r=1.04
r
=
0.04
r=0.04
Subtract 1
The stock gained 4
%
The stock gained 4%
Multiply by 100
Barry bought a wooden board that measured 8 feet in length. He cut off a piece that measured
65 feet. How much of the board was left?
Answers
Answer:
-57
Step-by-step explanation:
If he had an 8 ft board and cut 65 ft off it would be -57.
milk truck delivers 376 dozen gallons of milk to stores in 1 day. Write and solve an equation to find n, the number of gallons of milk the milk truck delivers in 1 day. pls help!
Answers
Answer:
376*12=n
My logic:
there are 12 items in a dozen. so 376 dozens times 12 will result in the total milk delivered in a day.
The difference between 8 and 3
times a number is 29
Answers
Answer:
5.8
Step-by-step explanation:
8 - 3 = 5
29/5 = 5.8
The difference times a number is in parenthesis and if it needs to be multiplied, use x as a variable and make it equal to 29
A
Use the drop-down menus to identify the parts of the
coordinate plane
Line A is the
В
Region BIS
Point C is the originy
Line D is the
Answers
Answer:
Line A is the : ✔ y-axis
Region B is: ✔ a quadrant
Point C is the: ✔origin
Line D is the: ✔ x-axis
Step-by-step explanation:
Did it on Edgen
For the given coordinate plane the letters A, B, C and D represent the y-axis, first quadrant, origin and x-axis respectively.
What is a coordinate plane?A coordinate plane can be defined as the surface formed by two perpendicular lines which intersect each other. The vertical and horizontal lines are known as y and x axis respectively.
The intersection of these lines is known as the origin.
The diagram of the coordinate plane can be analysed as,
(a) Line A is the vertical perpendicular line.
It can be called as y-axis.
(b) Region B lies in the part of the coordinate plane where x and y coordinates are positive.
It is known as the first quadrant.
(c) Point C lies at the intersection of two lines perpendicular to each other.
It can be said the origin.
(d) Line D is the horizontal line.
It can be called as x-axis.
Hence, the given letters A, B, C and D represent the y-axis, first quadrant, origin and x-axis respectively.
To know more about coordinate plane click on,
https://brainly.com/question/13611766
#SPJ2
The missing diagram is attached here.
factor completely 2x^3-18x
Answers
Answer:
2x(x+3)(x-3)
Step-by-step explanation:
Show that ( 1 +i )2 = 2i
Answers
Given:
The statement is
[tex](1+i)^2=2i[/tex]
To prove:
The given statement [tex](1+i)^2=2i[/tex].
Solution:
We have,
[tex](1+i)^2=2i[/tex]
Taking LHS, we get
[tex]LHS=(1+i)^2[/tex]
[tex]LHS=(1)^2+2(1)(i)+(i)^2[/tex] [tex][\because (a+b)^2=a^2+2ab+b^2][/tex]
[tex]LHS=1+2i+(-1)[/tex] [tex][\because i^2=-1][/tex]
On further simplification, we get
[tex]LHS=1+2i-1[/tex]
[tex]LHS=2i[/tex]
[tex]LHS=RHS[/tex]
Hence proved.
12/15=x/25 solve (algebra) pleas help I will mark brainlyesst
Answers
Answer:
20/25
Step-by-step explanation:
12/15=
4/5=
20/25
A student has heard that spinning pennies on a table, rather than flipping them in the air, results in tails side up 65% of the time. If this is true, what is the probability that a student who spins 4 pennies will have them all land tails side up? 0.0150 0.1785 0.8215 0.9850
Answers
so I believe it is C 0.8215
The probability is 0.1785
What is probability?The study of how likely certain events are to occur is known as probability. In its simplest form, it is concerned with the fall of a game's cards or the roll of a dice. However, probability is also essential to life and science as a whole. Probability is used, for example, in weather forecasting and figuring out how much your insurance premiums will cost.
Given probability of tail by spinning a coin is 65% = 0.65
p(t) = 0.65 and p(h) = 0.35
where h= head and t= tail
coin spins 4 time
p(t) for first time = 0.65
p(t) for second time = 0.65 x 0.65 =0.4225
p(t) for third time = 0.65 x0.65 x 0.65 = 0.274
p(t) for fourth time = 0.65 x 0.65 x0.65 x 0.65 = 0.178
Hence probability that a student who spins 4 pennies will have them all land tails is 0.178
Learn more about probability;
https://brainly.com/question/9793303
#SPJ2
Factorise 4a²_4ab+b²
Answers
Answer:
[tex](2a -b)^2[/tex]
Step-by-step explanation:
5x + 34 = -2(-7x + 1)
Answers
5x+34=14x-2
34+2=14x-5x
36=9x
x=36/9
x=4
The price of a pair of shoes increases from $67 to $83. What is the percent 1 point
increase to the nearest percent? *
Answers
Answer:
16
Step-by-step explanation:
The area of the triangle is
108 m². What is the value
of x?
xm
(x+6) m
Answers
Answer:
x = 12
Step-by-step explanation:
Formula for area of a triangke is;
A = ½bh
Where;
b is base
h is height
From the triangle diagram given;
b = x + 6
h = x
Thus;
A = ½(x + 6)x
A = ½x² + 3x
Now we are told that the area is 108 m², Thus;
½x² + 3x = 108
Multiply through by 2 to get;
x² + 6x = 216
x² + 6x - 216 = 0
Using quadratic formula, we arrive at;
x = -18 or 12
x can't be negative, thus; x = 12
To find the median you do not have to arrange the numbers in order from least to greatest (true or false)
Answers
Answer:
false
Step-by-step explanation:
you have to order them from least to greatest in order to find the answer
two angles of a triangle measure 67 degrees and 90 degrees what is the measure of the third angle?
Answers
23
.
.
.
.
.
.
.
I hope it's helpful for you dude
Answer:23
Step-by-step explanation:
Do ACT score reports come in the mail or is it just accessible online?
Answers
Answer:
I believe it should come in the mail and online x
The ratio of boys to girls in a math class is 2 to 3. If the class has 20 students, how many of them are girls?
Answers
Answer:
8:12
Step-by-step
Help NOW PLEASE
Joy multiplied (3x – 3) by a
second binomial. If the product
was 9x2 – 18x + 9, find the
second binomial.
A. (3x – 3)
B. (3x + 3)
C. (3x – 6)
D. None of the above
Answers
Answer
(3x-3)
Step-by-step explanation:
-9 + 5y - 7y + 3y = ?
Answers
Answer:
-9 + y
Step-by-step explanation:
For this problem, you have to combine like terms.
-9 is the only number that doesn't have a variable.
5y, -7y, 3y have all the the same variables, so we'll combine those.
5y - 7y = -2y
-2y + 3y = 1y
Solution: -9 + y
what percentage of students have no brothers OR sisters but have a dog?
Answers
80+60=130 so 130/1000 you may need to divide
for the parallelogram find the value of x,y,and z
Answers
Answer:
X = 119, Y = 61, Z = 119
Step-by-step explanation:
These are supplementary angles and equal 180.
180 - 61 = 119
Opposite angles are congruent
Can any one help? Model the pair of situations with exponential functions f and g. Find the approximate value of x that makes f(x) = g(x). f: initial value of 800 decreasing at a rate of 12% g: initial value of 20 increasing at a rate of 12%
Answers
Answer:
The given exponential functions f(x) and g(x) will be equal for the value of x as 4.1466.
Step-by-step explanation:
We need to give exponential function to the given constraints.
since f(x) is a decreasing function so
f(x) = [tex]a(1-r)^x[/tex]
where
a = Initial value
r = rate at which function is decreasing
as we are given the values of a and r such as a = 800 and r = 12%
upon substituting these values in the equation we get
f(x) = [tex]800(1-0.12)^x[/tex]
= [tex]800(0.88)^x[/tex]
similarly we will do for g(x) but the only difference in f(x) and g(x) will be that f(x) in a decreasing exponential function whereas g(x) is an increasing function.
g(x) = [tex]a(1-r)^x[/tex]
where a is initial value and r is the rate at which the function is increasing so upon substituting these values we get.
g(x) = [tex]20(1+0.12)^x[/tex] = [tex]20(1.12)^x[/tex]
Now,
we need to find the value of x for which f(x) and g(x) will be equal.
so
[tex]800 (0.88)^x = 20(1.12)^x[/tex]
[tex]40(0.88)^x = (1.12)^x[/tex]
x will be approximately 4.1466
Therefore the given exponential functions f(x) and g(x) will be equal for the value of x as 4.1466.