Find the area of the segment of circle c shown above.
A. Asegment= 353.66
B. Asegment= 434.88
C. Asegment= 458.88
D. Asegment= 707.32
Answers
The area of the segment of circle 'C' is 353.66 sq. units.
Therefore, option (A) is the correct answer.
What is a segment of a circle?"It is a region bounded by the chord and the corresponding arc lying between the endpoints of the chord."
Formula to calculate the area of the segment of circle:[tex]A = (\frac{1}{2} ) \times r^2\times [(\frac{\pi}{180}) \theta - sin \theta][/tex]
where, angle is measured in degree
For given example,
radius r = 24,
angle [tex]\theta[/tex] = 120°
In given diagram, the area of the segment of circle is given by the shaded part.
Using the formula of the area of the segment of the circle,
⇒ [tex]A = (\frac{1}{2} ) \times r^2\times [(\frac{\pi}{180}) \theta - sin \theta][/tex]
⇒ [tex]A = (\frac{1}{2} ) \times (24)^2\times [(\frac{\pi}{180} \times 120) - sin(120)][/tex]
⇒ [tex]A = 288\times [\frac{2\pi}{3} - 0.87][/tex]
⇒ [tex]A=353.66[/tex] sq. units.
Therefore, the area of the segment of circle 'C' is 353.66 sq. units.
Therefore, option (A) is the correct answer.
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Related Questions
Suppose you're given the formula R = s + 2t. If you know that s is three times greater than t, how could you rewrite the formula?
A. R=3 (s+t)
B. R=5s
C. R=5t
D.R=3(s+2r)
Answers
r=s+2t
s=3t
so R = 3T+2T=5T
Answer:the answer is C
Step-by-step explanation:
A 6 pound bag of grass seed covers 2,000 square feet. How many pounds would be needed to cover 25,000 square feet? Round the answer to the nearest pound.
Answers
cross multiply
(2000)(x) = (6)(25,000)
2000x = 150,000
x = 150,000/2000
x = 75 <== 75 lbs
Please be a good person and help me..I really need to get this right to boost my grade in math ((and boy do I need it!!))
Use the graph shown to fill in the blank.
When x = 1, then y = a0.
Answers
So when x = 1, the value of y is y = -2 which is the final answer
how do you solve this 2 step equation: 9+9n=9
Answers
9n = 9 - 9
Then simplify
9n = 0
n = 0
Since 9 does not contain the variable to solve for, move it to the right side of the equation by subtracting 9 from both sides.
9n = −9+9
9n=-9+9
Add −9 and 9 to get 0.
9n=0
Step 2: Divide each term by 9 and simplify.
Divide each term in 9n = 0 by 9
9n=0 by 9.
9n/9=0/9
Step 3: Reduce the expression by canceling the common factors.
n=0/9
Divide 0 by 9 to get 0.
n=0
The typical flight of stairs has 12 steps. Billy is on a new fitness regimen that requires him to climb at least 300 steps each day. His fitness tracker says he has already climbed 175 steps.
Let n represent the number of flights of stairs Billy has yet to climb.
Create the inequality that symbolizes this situation.
Then answer this.
If Billy climbs 10 more flights of stairs, will he meet his required 300 steps?
Answers
and No because he would have only climbed 295 steps.
You would base your equation as 300 ≤ n + 175.
But, you need to fix the equation on one unit. Let's go with the stairs route.
If he goes up 10 more flights, you can multiply the amount of steps per flight (12) by the amount of flights (10).
10 × 12 = 120
So, you need to figure out if 300 ≤ 120 + 170 is a true statement. Solving it would be adding 120 to 170.
120 + 170 = 290
Well, 300 is not ≤ 290, so the answer would be no, he wouldn't reach his goal.
Which one f the following would appear in the credits column of a bank statement for a checking account?
A. Bank fees
B. An ATM withdrawal
C. An online bill payment
D. A direct deposit
Answers
The direct deposit would appear in the credit's column of a bank statement for a checking account option (D) is correct.
What is direct deposit?A direct deposit by a payer into a payee's bank account is referred to as a direct deposit. Businesses most usually use direct deposits to pay salaries and wages, and they are typically made through electronic funds transfers or physical deposits into a payee's bank account.
From the definition, the direct deposit is the amount which is deposited by the individual bank accounts.
A direct deposit would appear in the credit's column of a bank statement for a checking account.
Thus, the direct deposit would appear in the credit's column of a bank statement for a checking account option (D) is correct.
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Answer: A direct deposit
Step-by-step explanation:
The Smith family rented a recreational vehicle for a seven-day vacation. The cost to rent the recreational vehicle was $560 plus $0.50 per mile. How many miles were driven if the total cost was $1350?
Answers
The Smith family drove 1580 miles during their seven-day vacation in the rented recreational vehicle, calculated by subtracting the flat rental fee from the total cost, and then dividing by the cost per mile.
Explanation:This question centers on simple algebra. To calculate the number of miles driven, you need to first understand that the total cost consists of a flat rental fee and the cost per mile driven. First, we take the total cost, $1350, and subtract the flat fee of $560 from it. This leaves us with $790.
We then divide that $790 by the price per mile, which is $0.50. The calculation would then be as follows: $790 ÷ $0.50 = 1580 miles. Therefore, the Smith family drove 1580 miles during their seven-day vacation in the recreational vehicle.
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If a bag contains 16 red,6 yellow, 24 blue, and 8 white ballons, what is the part-to-whole ratio of yellow ballons to all ballons
Answers
Or even just 8 when you divide it
In isosceles ∆ABC the segment BD (with D ∈ AC) is the median to the baseAC. Find BD, if the perimeter of ∆ABC is 50m, and the perimeter of ∆ABD is 40m.
Answers
A shop advertised a 27% off sale. If a coat originally sold for 253 , find the decrease in price and the sale price
Answers
253-68.31 OR 253*0.73= 184.69 (sale price)
If a student scores a 17/35 on a test, what is their percentage on it?
Answers
= 0.485714285 (Answer)
=0.49 (Rounded)
49% (Converted answer)
The diameter of a circle is 18 centimeters. what is the radius? d=18 cm give the exact answer in simplest form.
Answers
The radius is one half the diameter.
Therefore the radius is 18/2 = 9 cm
Answer: 9 cm
How many 10 are in 64785
Answers
The figure in the picture is made up of 5 congruent squares. If the perimeter of the entire figure is 21.6 cm, find its area.
Answers
A wooden board is leaning against a house. the base of the board is 10 ft from the base of the house and the base of the board forms a 35 degree angle with the ground
so what is the length of the wooden board?
Answers
make sure your calculator is in Degree mode.
The equation of line p is y = 52x + 72. line q is parallel to line p. the slope of line q is?
Answers
Triangle DEF is formed by the three squares P, Q, and R:
A right triangle DEF is shown. On the side DE of this triangle is a square. Inside the square is written Square P, and below it and inside the square is written Area equal to 64 square units. On the side EF of this triangle is another square. Inside the square is written Square Q, and below it and inside the square is written Area equal to 225 square units. On the side DF of this triangle is another square. Inside the square is written Square R, and below it and inside the square is written Area equal to 289 square units.
Which statement best explains the relationship between the sides of triangle DEF?
DE + EF = DF, because 64 + 225 = 289
(DE)2 + (EF)2 = (DF)2, because 172 + 82 = 152
(DE)2 + (EF)2 = (DF)2, because 64 + 225 = 289
DE + EF = DF because, 172 + 82 = 152
Answers
using the Pythagorean Theorem
a^2 + b^2 = C^2
so correct answer is:
(DE)2 + (EF)2 = (DF)2, because 64 + 225 = 289
Answer:
(DE)2 + (EF)2 = (DF)2, because 64 + 225 = 289
Step-by-step explanation:
Solve x2 + 6x = 7 by completing the square. Which is the solution set of the equation?
Answers
Divide 6 by 2 and square the result and add to both sides of the equation.
6/2 = 3 3^2 = 9 x^2 + 6x + 9 = 7 + 9
x^2 + 6x + 9 = 16
(x+3)^2 = 16
x+3 = +- Sqrt 16) = +-4
x = -3+4 = 1
x = -3-4 = -7
howdy!!
yr answer is
A. {–7, 1} !!!
The perimeter of triangle ABC is 54. The triangle has side lengths AB=3x, BC=4x, and AC= 5x. Find the length of each side.
Answers
54= 12x
x= 54/12
x=4.5
AB= 3(4.5)
= 13.5
BC= 4(4.5)
= 18
AC= 5(4.5)
= 22.5
Hope I helped :)
9 more than the quotient of negative 36 and negative 4
Answers
-36divided by -4 is 9 (negative divide by a negative is a positive)
then you add 9 which is 18
9+9
18
The answer is 18. Hope this helps!
A supplier offers a discount on a product bought in bulk. If you buy 240 parts, you get a $5 discount on each part, which reduces the cost to the same as buying 200 parts at full price. How much is each part?
Answers
200 parts at full price costs $x * 200 = 200x dollars
240 parts will have $5 discount per part. The cost is
240(x - 5) = 240x - 1200 dollars
The two costs are the same, therefore
240x - 1200 = 200x
40x = 1200
x = $30
Answer: $30
Megan is starting a business selling cookies. She researched other businesses to determine the price that people are willing to pay for a dozen cookies her results can be represented by the equation n=-2p+16 where P is the price per dozen cookies and N is the number of dozens sold where does the graph of the equation cross the x-axis?
Answers
n = -2p + 16
0 = -2p + 16
2p = 16
p = 8
(8, 0)
Option C.
What is the coefficient in the expression 3x/13+4 ?
Enter your answer in the box.
Answers
Lannie order 12 copies of the same book for his book club members to build cost $19 each and the order has a $15 shipping charge what is the total cost of lannie's order
Answers
19 x 12 = 228
228 + 15 = $243
Ow is the constant max_length declared inside a method with the value of 99.98?
Answers
MAX_LENGTH = 99.98
How long is the arc subtended by an angle of 9π/5 radians on a circle of radius 30 cm?
A) 9π
B) 27π
C) 54π
D) 108π
Answers
Answer:
54π
Step-by-step explanation:
54π is correct. (9π/5)(30)= 54π
The required length of an arc is 54π cm which is subtended by an angle.
What is an arc?The arc is a portion of the circumference of a circle.
To find the arc length, we first need to find the circumference of the circle. The circumference of a circle is given by the formula C = 2πr, where r is the radius of the circle.
Plugging in the values given in the problem, we find that the circumference of the circle is C = 2π(30 cm) = 60π cm.
Then, to find the arc length, we need to find the fraction of the circumference subtended by the angle of 9π/5 radians.
The circumference of the circle is 2π radians, so the fraction of the circumference subtended by the angle of 9π/5 radians is (9π/5)/(2π) = 9/10.
Multiplying the fraction of the circumference subtended by the angle by the circumference of the circle, we find that the arc length is (9/10)(60π cm) = 54π cm.
Therefore, the correct answer is (C) 54π cm.
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Which of the following is equivalent to 30p^4q^3r + 42p^2r - 18p^2q^2r when it is completely factored?
A. 3pr(10p^3q^3 + 12p - 9pq^2)
B. 6(5p^4q^3r + 7p^2r - 3p^2q^2r)
C. 6p^2q^2r(5p^2q + 4)
D. 6p^2r(5p^2q^3 + 7 - 3q^2)
Answers
= 6p^2r (5p^2q^3 + 7 - 3q^2)
answer
D. 6p^2r(5p^2q^3 + 7 - 3q^2)
__________________________
Note:
__________________________
Given:
__________________________
30p⁴q³r + 42p²r - 18p²2q²r ;
we can factor out a
"6p²r" ;
_________________________________________________
to get:
" 6p²r (5p²q³ + 7 − 3q²) " ; which is: "Answer choice: [D]" .
_________________________________________________
How many 3-digit numbers can you write using only the digits 1 and 2?
Answers
That’s 2 * 2 * 2 or 8 possible 3-digit numbers you can make with the digits 1 and 2.
Which function below is the inverse of f(x) = the quantity of two x plus three, over five.?f−1(x) = the quantity of five x plus three, over twof−1(x) = the quantity of five x minus three, over twof−1(x) = five over the quantity of two x plus threef−1(x) = five over the quantity of three minus two x?
Answers
[change f(x) to y]: y=(2x+3)/5
[swap x and y]: x=(2y+3)/5
[solve again for y]: 5x=2y+3
y=(5x-3)/2
f-1(x) = (5x-3)/2..."The quantity five x minus three, over two
Answer:
[tex]f^{-1}(x)=\dfrac{5x-3}{2}[/tex]
f⁻¹(x) = the quantity of five x minus three, over two
C is correct
Step-by-step explanation:
Given: [tex]f(x)=\dfrac{2x+3}{5}[/tex]
We need to find inverse of function f(x)
Step 1: Set f(x)=y
[tex]y=\dfrac{2x+3}{5}[/tex]
Step 2: Switch x and y
[tex]x=\dfrac{2y+3}{5}[/tex]
Step 3: Solve for y (isolate y)
[tex]5x=2y+3[/tex]
[tex]2y=5x-3[/tex]
[tex]y=\dfrac{5x-3}{2}[/tex]
Therefore, [tex]f^{-1}(x)=\dfrac{5x-3}{2}[/tex]
Now we write as sentence form,
Inverse of f(x) is 5 times of x minus 3 over 2.
Hence, f⁻¹(x) = the quantity of five x minus three, over two
the area of one of the smaller circles is 8 pi in2. find the area of the shaded region
Answers
the answer is D. 16 pi
Answer:
D.
Step-by-step explanation: