Find the circumference of the larger circle if the area of one of the smaller circles is 48 pi in^2.
A. [tex]4\sqrt{3\pi }[/tex] in.
B. [tex]8\sqrt{3 \pi }[/tex] in.
C. [tex]16\sqrt{3\pi }[/tex]in.
D. [tex]24\pi[/tex] in.
Answers
Answer:
C. 16√3π in.
Step-by-step explanation:
Circumference of a circle = 2πr where
r is the radius of the circle.
Given the area of one of the smaller circle to be 48π in², we can get the radius of one of the smaller circle.
If A = πr²
48π = πr²
r² = 48
r = √48 in
The radius of one of the smaller circle is √48.
To get the circumference of the larger circle, we need the radius of the larger circle. The radius R of the larger circle will be equivalent to the diameter (2r) of one of the smaller circle.
R = 2r
R = 2√48 inches
Since C = 2πR
C = 2π(2√48)
C = 4√48π in
C = 4(√16×3)π in
C = 4(4√3)π in
C = 16√3π in
Thw circumference of the larger circle is 16√3π in.
Step-by-step explanation:
Given two circa inscribed side by side inside a big circle, it is notice that the internal two circle are identical and diameter of the one the internal circles is equal to the radius of the big circle
So, we are given the area of one of the small circle, so from their we can find the radius of the small circle.
Area of small circle
A = 48π in²
Area of a circle is given as πr²
A = πr²
48π = πr²
Divide both side by π
48 = r²
Take Square root of both sides
r = √48 = √(16 × 3)
r = 4√3 in
Then, the diameter of the small circle is
d = 2r = 2 × 4√3
d = 8√3
So, the radius of the big circle is
R = d = 8√3
So, we want to find the perimeter of the big circle
The perimeter of a circle is calculated using
Perimeter = 2πr
P = 2πR
P = 2π × 8√3
P = 16π√3 in
So the correct option is C
P = 16√3 π in.
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O a cylinder with a height of 9 cm and a radius of 9
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a cylinder with a height of 12 cm and a radius of 6
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a cylinder with a height of 6 cm and a radius of 12
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Step-by-step explanation:
I did it on the assignment
Answer:
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Step-by-step explanation:
What is the correct answer?
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Let y = safe load in pounds and x = depth in inches for a certain type of rectangular horizontal beam. A constant of
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Determine the constant k for a beam with y = 1,000 pounds and x = 5 inches.
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Answers
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Answers
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ne
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Answer:
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Answers
Answer:
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Step-by-step explanation:
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What is 1 gallon, 3 quarts, 4 pints minus 3 quarts, 5 pints?
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English
TIME REMAINING
56:59
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is 2 feet wide. What is the area of the reduced carpet?
O 6 square feet
O 12 square feet
O 24 square feet
O 48 square feet
Save and Exit
Submit
Next
Mark this and return
Answers
Answer:
6 square feet
Step-by-step explanation:
Carpet has w= 8 ft and l = 12 ft
Reduced carpet has w' = 2 ft
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Step-by-step explanation:
Answer:
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Step-by-step explanation:
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Hope this helped!
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Answers
Final answer:
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Explanation:
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Answers
Answer:
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Step-by-step explanation:
3(k - 6) = 15
Divide each side by 3
3/3(k - 6) = 15/3
k - 6 = 5
Add 6 to each side
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Answer:
k=11
Step-by-step explanation:
3(k-6) = 15
k-6 = 15/3
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Answers
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Answers
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--------------------------
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Step-by-step explanation:
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Step-by-step explanation:
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Answers
The difference between the distances from New York to Hawaii than his trip from Hawaii to Texas is 1383 miles.
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= 1383 miles.
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Mr. Price's trip from New York to Hawaii was 1,383 miles longer than his trip from Hawaii to Texas.
Calculating the Distance Difference :
To find out how much farther Mr. Price's trip from New York to Hawaii was compared to his trip from Hawaii to Texas, we need to subtract the distance from Hawaii to Texas from the distance from New York to Hawaii.
Distance from New York to Hawaii: 4,908 milesDistance from Hawaii to Texas: 3,525 milesNow, let's subtract the two distances:
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Therefore, Mr. Price's trip from New York to Hawaii was 1,383 miles longer than his trip from Hawaii to Texas.
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Line A F E is horizontal. Lines B, C, and D come out of point F.
Angle A F B
Angle A F C
Angle B F D
Angle B F C
Answers
Answer:
I think its <afb
Step-by-step explanation:
The required, adjacent angle to DFE is angle BFC. Option D is correct.
What is the angle?Orientation of the one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.
Angle BFC is next to angle DFE, and they share a common side, which is line segment EF. Therefore, we can stretch this statement as follows:
"When looking at the angle DFE and moving clockwise around the vertex F, the next angle encountered is angle BFC, which is adjacent to angle DFE and shares the side EF with it."
This restatement clarifies the location and relationship of angle BFC with respect to angle DFE.
Thus, the required, adjacent angle DFE is angle BFC. Option D is correct.
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Which equations represent the line that is perpendicular to the line 5x – 2y = -6 and passes through the point
(5,-4)? Select three options.
y=-x-2
2x + 5y = -10
2x - 5y = -10
y+ 4 = (x - 5)
y-4 = {(x+5)
Save and Exit
Nexi
Submit
Mark this and return
Answers
Answer:
Step-by-step explanation:
hello :
given the line : 5x – 2y = -6
the answer is : 2x + 5y = -10 because :
1) this line passes through then point (5 ,-4) : 2(5)+5(-4)=-10....right
2) the slope of the given line is: 5/2 because 5x-2y=-6 equivalent to ;
2y =5x+6 so : y = (5/2)x+3
On the other hand : 2x + 5y = -10 equivalent to : 5y =-2x-10
y = (-2/5)-2 when the slope is : -2/5
the condition for the perpendicularity is : product two slope is : - 1
(5/2)(-2/5) =-1
Since all circles are similar, a proportion can be set up using the circumference and diameter of each circle. Substitute the values d1 = 1, C1 = π, and d2 = 2r into the proportion.
StartFraction C 1 Over d 1 EndFraction = StartFraction C 2 Over d 2 EndFraction
Which shows how to correctly solve for C2, the circumference of any circle with radius r?
A. Because StartFraction pi Over 1 EndFraction = StartFraction C 2 Over 2 r EndFraction , C 2 = 2 r pi
B. Because StartFraction 1 Over pi EndFraction = StartFraction C 2 Over 2 r EndFraction ,
2 = StartFraction 2 r Over pi EndFraction
C. Because StartFraction pi Over 2 r EndFraction = StartFraction C 2 Over 1 EndFraction , C 2 = StartFraction pi Over 2 r EndFraction
D. Because StartFraction pi Over 1 EndFraction = StartFraction C 2 Over 4 r EndFraction , C 2 = 4 r pi
Answers
Answer: A
Step-by-step explanation:I got it right
Answer:
The answer is A on Edge 2020
Step-by-step explanation:
I did the Quiz
−6x−3(x−2)
PLEASE HELP
Answers
Answer:
-9x + 6
Step-by-step explanation:
-6x−3(x−2)
Solution:
-6x−3(x−2)
-6x−3x+6
-9x + 6
Jon and Becky measured the circle-shaped part of a sun they drew on the sidewalk.
The diameter of the circle is 62 centimeters. What is the approximate area of the circle? (Use 3.14 for
.)
A.
3,017.54 cm?
B. 12,070.16 cm?
C. 194.68 cm2
D. 754.385 cm?