Point B is the center of the circle shown, and the length of arc AC is 8π. What is the area of the circle?
Answers
Answer:
[tex]A=324\pi \text{ units}^2\approx1017.88\text{ units}^2[/tex]
Step-by-step explanation:
The formula for arc length is:
[tex]\stackrel{\frown}{A}=2\pi r(\frac{\theta}{360}})[/tex]
Where Θ is measured in degrees.
We know that the arc length is 8π when the degree is 80. So, substitute 8π for A and 80 for Θ:
[tex]8\pi=2\pi r(\frac{80}{360})[/tex]
Divide both sides by 2π:
[tex]4=r\frac{80}{360}[/tex]
Simplify the fraction:
[tex]4=\frac{2}{9}r[/tex]
Multiply both sides by 9/2:
[tex]r=18[/tex]
So, the radius is 18.
Now, we can find the area of the circle. The formula for the area of a circle is:
[tex]A=\pi r^2[/tex]
Substitute 18 into r:
[tex]A=\pi (18)^2[/tex]
Simplify:
[tex]A=324\pi \text{ units}^2\approx1017.88\text{ units}^2[/tex]
And we're done!
Answer:
A
Step-by-step explanation:
Related Questions
$2000 at 6% simple interest for 3 years. A. 360 B. 3600 C. 600 D. 650
Answers
Answer: B.3600
Step-by-step explanation:
3600
hope this helps
Is this equation proportional or not?
y = 4 + x
Answers
Jasmin's dog weighs 55 pounds. Her vet told her that a healthy weight for her dog would be less than or equal to 42 pounds. Jasmin's dog can lose an average of 7 pounds every week. Write the solution to an inequality that describes all possible number of weeks x for which her dog can be at a healthy weight.
Answers
Answer:
x = 2
Step-by-step explanation:
55-42=13
13 brought up to 14 so it can be divided by 7
14 / 7 = 2
Explanation -14/7= 2
Write an equation to find the number of students in Mr. Boggs' homeroom if the total number of students is 90.
Teacher: Number of students
Mr. Boggs b
Mr. Hamilton 15(b+2)
Ms. Simpson 15
Mrs. Walton 2b-9
Answers
Answer:
15(b+2) + 15 + 2b-9 +b = 90
Step-by-step explanation:
Essentially you add up all of the values and make it equal to 90, then solve for b
15(b+2) + 15 + 2b-9 +b = 90
15b + 30 + 15 + 2b - 9 + b = 90
18b + 30 + 15 - 9 = 90
18b + 36 = 90
18b = 54
b=3
help pls and thank you
Answers
Answer:
54
Step-by-step explanation:
........
Can someone help me please?
Answers
Answer:
437.4 meters squared
Step-by-step explanation:
7.2*4.5=32.4=b
3*4.5=13.5=h
b*h=a
32.4*13.5=437.4m^2
VERY EASY QUESTION. Write out this equation: ten times the sum of half a number and 6 is 8
Answers
Answer:
x
=
58
5
Step-by-step explanation:
10 times:
→
10
×
The sum of:
→
10
×
(
?
+
?
)
half a number:
→
10
×
(
x
2
+
?
)
and 6:
→
10
×
(
x
2
+
6
)
is 8 :
→
10
×
(
x
2
+
6
)
=
8
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
10
(
x
2
+
6
)
=
8
Multiply out the bracket
5
x
+
60
=
8
Subtract 60 from both sides
5
x
=
58
Divide both sides by 5
x
=
58
5
Answer:
10 × ( ? + ? )
half a number:
→10×(x2+?) and 6: → 10 × ( x 2 + 6 )
is 8 : → 10 × ( x 2 + 6 ) = 8
10 ( x 2 + 6 ) = 8
Multiply out the bracket
5 x + 60 = 8 Subtract 60 from both sides 5 x = 58
Divide both sides by 5 x = 58 5
10 times: Subtract 60 from both sides
5 x = 58 Divide both sides by 5 x = 58 5
Step-by-step explanation:
but i'm confused- if you said "VERY EASY QUESTION", why couldn't you answer it since you said "very easy"- nvm-
Pls help asap :_:
Steven knows that the first angle of a triangle measures 98 degrees, and the second angle measures 37 degrees.
Which equation could Steven use to find x, the measure of the third angle?
a)x = 180 + 98 + 37
b)x = (98 + 37) ÷ 180
c)x = 180 − (98 + 37)
d)x = 3 × (98 + 37)
Answers
Answer:
c
Step-by-step explanation:
A carpenter needs to frame a square window with wood. The wood costs $0.75 per linear foot. If the area of the square window is 154 in², how much will it cost to frame the window?
Answers
Answer:
i do not know
Step-by-step explanation:
aaaaa sorry
I need percentage, fraction, decimal That are equivalent asapppp
Answers
Answer:
3/5 = 0.6
1/8 = 0.125
3/50 = 0.06
7/8 = 87.5%
1/3 = 33 1/3%
hope this helped.. brainliest??
Answer:3/5 = 0.6
1/8 = 0.125
3/50 = 0.06
7/8 = 87.5%
1/3 = 33 1/3%
Step-by-step explanation:
hOmeWoRK hEEllpppPppPPppPppp
Which equation fits the situation? Mike’s test score was 20 points lower than Mark’s.
If Mark scored a 95 on the test which equation would give Mike’s score?
a)90 = p + 5
b)p - 95 = 20
c)p - 20 = 95
d)95 = p + 20
Answers
Which set of numbers includes only integers?
{14,2,3.0,243)
{14, -7,0,243, -3}
{14. - 16.680.-240}
{14,23,654,0,9}
Answers
Answer:
{14,23,654,0,9}
Step-by-step explanation:
The first three contain negative numbers and decimal points therefor the last one {14,23,654,0,9} is correct.
!!! PLEASE HELP QUICK !!!
Answers
The product of [tex]2\frac{5}{8}[/tex] and [tex]- 2\frac{3}{5}[/tex] is [tex]- 3 \frac{27}{40}[/tex]. Options incorrect.
1, Converting the mixed numbers to improper fractions.
[tex]2\frac{5}{8}[/tex] can be written as [tex]\frac{2*8 + 5}{8}[/tex] = [tex]\frac{21}{8}[/tex].
[tex]- 2\frac{3}{5}[/tex] can be written as [tex]\frac{-2*5 + 3}{5}[/tex] = [tex]-\frac{7}{5}[/tex].
2, Multiplying the two fractions.
[tex]\frac{21}{8} * -\frac{7}{5}[/tex] = [tex]- \frac{147}{40}[/tex]
3. Expressing the result as a mixed number.
To express [tex]- \frac{147}{40}[/tex] as a mixed number, divide the numerator by the denominator:
-147 ÷ 40 = -3 with a remainder of -27.
So, the final answer is:
[tex]- 3 \frac{27}{40}[/tex].
Therefore, the product of [tex]2\frac{5}{8}[/tex] and [tex]- 2\frac{3}{5}[/tex] is [tex]- 3 \frac{27}{40}[/tex].
In this calculation, we used the concept of converting mixed numbers to improper fractions, multiplying fractions, and simplifying the resulting fraction.
Learn more about improper fractions at
https://brainly.com/question/28957298
DUE IN 10 Please help with this as soon as possible
Answers
Answer:
For #3 the answer is "The big bang blew the dust and gas particles tog together" and im not sure about #2.
Step-by-step explanation:
blame me if im wrong :/
Hawaii has an area of 1.1 × 10^4 square miles and a population of 1.2 × 10^6 people.
Which key strokes on a calculator will give the population density of Hawaii?
A) 1.2EE6x1.1EE4
B) 1.2EE6/1.1EE4
C) 1.1EE4+1.2EE6
D) 1.1EE4/1.2EE6
(The Slashes in 2 and 4 mean divided by.)
Answers
Pick two of the following questions and respond:
What information do we need to calculate the volume of a prism? Explain how you could use layers to find the volume of a prism.
Two prisms have the same base area and height, but different base shapes. Which prism has a greater volume? Explain.
Two clay prisms use the same amount of clay to make them, but the first has a larger height than the second. Which prism has a larger base area?
Answers
Answer:
1. To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units.
Step-by-step explanation:
Answer:
1. To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units.
Step-by-step explanation:
Same as the last guy
9 divided by 4/5
a
10 and 1/4
b
11 and 4/7
c
12 and 4/7
d
11 and 1/4
Answers
Find the missing number of the unit rate.
12/4 = ?/1
Answers
Answer:
Step-by-step explanation:12/4 can be simplified into 6/2 which can be simplified into 3/1. 3/1 is your answer!!
Answer:
Three
Step-by-step explanation: The reason why the missing number is three is because if you divide 12 by 4 you get 3.
PLZ HELPPPPPP. the choices are below for the attachment. It is a function because there is a price given for every package. It is a function because weekend packages are always $50 more than weekday packages. It is not a function because each package number has two different prices. It is not a function because there are two different packages available for $180.
Answers
Answer:
it is not a function because there are two different packages available for $180.
Step-by-step explanation:
another challenge for you guys
Answers
Answer:
?
Step-by-step explanation:
Write an algebraic expression for this phrase.
Answers
Answer:
n/8
Step-by-step explanation:
Jasmin's dog weighs 69 pounds. Her vet told her that a healthy weight for her dog would be less than or equal to 48 pounds. Jasmin's dog can lose an average of 5 pounds every week. Write the solution to an inequality that describes all possible number of weeks x for which her dog can be at a healthy weight.
Answers
Answer:
it will take jasmin and her dog 4 weeks/ one month to lose enough weight to be a healthy weight
Step-by-step explanation:
Please help ty asap :>
Answers
Answer:
7 they have the same amount of books
8 c because it is the same on both sides but the 12 is replaced with then
9 when you multiply 3 or more are the same no mater the way you multiply
Step-by-step explanation:
8. Is C
9. Associative property is a rule in math that explains that the way factors are grouped in a multiplication problem doesn’t affect the answer or change it. For example 4x25x27, if you wrote it as 25x4x27 the answer would still be the same.
help pls and thank you
Answers
what is relationship between the number of stitches and the length
Answers
what is 0.0832 divided 0.64
Answers
snob
Answer:
0.13 is the answer
Step-by-step explanation:
just do it
Find the midpoint of the line segment with end coordinates of: (−3,−1)and (−4,2) Give coordinates as decimals where appropriate.
Answers
Answer:
ANSWER
M=(−72,12).
Step-by-step explanation:
The midpoint for two points P=(x1,y1) and Q=(x2,y2) is
M=(x1+x22,y1+y22).
We have that x1=−3, y1=−1, x2=−4, y2=2.
So, M=(−3+(−4)2,−1+(2)2)=(−72,12)
Answer:
The answer is
( - 3.5 , 0.5)Step-by-step explanation:
The midpoint M of two endpoints of a line segment can be found by using the formula
[tex]M = ( \frac{x1 + x2}{2} , \: \frac{y1 + y2}{2} )[/tex]
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(−3,−1) and (−4,2)
The midpoint is
[tex]M = ( \frac{ - 3 - 4}{2} \: , \: \frac{ - 1 + 2}{2} ) \\ = ( - \frac{7}{2} \: , \: \frac{1}{2} )[/tex]
We have the final answer as
( - 3.5 , 0.5)Hope this helps you
HELP ASAP!!! The number of y calories burned after x hours of rock climbing is represented by the linear function y=650x. 1) Find the domain of the function. may write in math notation or in words. 2) Is the domain discrete or continuous?
Answers
pls hlp!!
read the bottom and answer
Answers
m=52h
52 is the miles/hour, and you’re going for 4 hours, which is 208 miles.
Answer:
52
Step-by-step explanation:
M=52
8^10 ÷ 8^5 = 8^2 True or false
Answers
Answer:
False
Step-by-step explanation:
[tex]8^1^0 = 1073741824\\8^5=32768\\\\8^2 = 64[/tex]