The area of a sector of a circle with a radius of 4 centimeters is 2.512 square centimeters. The estimated value of ╥ is 3.14. The measure of the angle defining the sector is
Answers
Area = πr^2 (α / 360°)
We obtain the angle by manipulating the equation.
α = (Area x 360°) / πr^2
α = (2.512 cm^2 x 360°) / (π x 4^2)
α =35.98°
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Tyler works in retail where she earns $10.50 per hour. She also earn $15 for every new credit account she gets customer to open and she gets a weekly stipend of $50 for clothing. Tyler knows her weekly earnings can be shown with the following expression Part A: Identify a coefficient, a variable, and a constant in this expression Part B: If Tyler works for 37 hours and open 12 new credit account, how much does she earn? Show you work to receive full credit Part C: If Tyler gets a raise and begins earning $11.25 per hour, would the coefficient, variable or constant in the expression change? Why?
Simplify 20 + (2 + r).
If p represents a proper fraction then your answer will be
A. Less than
B.Greater than
C. Equal to
AND
What fraction makes the above statement true
2/3 12/1 2/2 8/8 5/4 5/8 12 3/5 16/4
Answers
an example of a proper fraction is 1/2.
so let's try it out:
12*
so if p represents a proper fraction, the result could be bigger than 1
but it could also be 1:
12*
or less than 1:
12*
So... I think you might have forgotten something?
The options (A. Less than
B.Greater than
C. Equal to)
need something else at the end: less than WHAT etc.
as for the second part, among the fractions:
2/3 12/1 2/2 8/8 5/4 5/8 12 3/5 16/4
Only those are proper fractions (so would make the statement true)
2/3
5/8
3/5
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Answers
Answer:
20 pounds
Step-by-step explanation:
80/20 =4
5x4=20
Final answer:
The amount of beef needed to make 80 meals, given a ratio of 5 pounds of beef for 20 meals, is 20 pounds.
Explanation:
To get an answer to this question, we first need to establish the ratio of beef needed for a single meal. The recipe suggests that 5 pounds of beef are used to create 20 meals. Thus, the ratio of beef to meals is 5:20. For simplicity, we can reduce this ratio by dividing both sides by 5, resulting in 1:4. This means for every meal, we need a quarter of a pound of beef. The question then asks how many pounds of beef are needed for 80 meals. Since we know a quarter pound of beef is needed for each meal, we can simply multiply the number of meals by 0.25 to get the total pounds of beef required. So, 80 meals x 0.25 pounds = 20 pounds of beef.
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Answers
Answer:
The Prime Meridian is a line of longitude designated as 0 degrees, and it runs through Greenwich, London. When traveling eastward or westward from the Prime Meridian, you can travel up to 180 degrees in either direction before heading back toward the Prime Meridian.
So, you can travel a maximum of 180 degrees eastward or 180 degrees westward from the Prime Meridian before changing direction and heading back toward it. Beyond 180 degrees, you would start approaching the Prime Meridian from the opposite direction.
Final answer:
You can travel 180 degrees eastward or westward from the prime meridian before you start heading back towards it. This is primarily due to the arrangement of longitude and the physical structure of the earth.
Explanation:
If you travel eastward or westward from the zero (prime) meridian, the maximum degree that one can travel in either direction, assuming from the zero meridian, prior to heading back is 180 degrees. This is primarily due to the spherical structure of the earth and the way longitude is arranged.
This is defined as the International Date Line and lies exactly opposite the Prime Meridian, creating a semi-circular line. The Prime Meridian, by international agreement, is set at 0° and runs through Greenwich, England. This serves as a starting point for the measurement of longitude.
As you travel in either direction, the degree of longitude increases until you hit the International Date Line at 180°. Beyond the 180° mark, the degree starts decreasing heading back towards the Prime Meridian. Geography and astronomy recognise and adhere to these conventions.
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Answers
The difference in area between the large and small cakes is 128π square inches.
How to find the area of a circle?
Suppose the circle has radius of 'r' units, then, its area is given as:
sq. units
Since radius of a circle is half of its diameter, so if diameter is of 'd' length, then r= d/2, thus, area can be rewritten as:
We are given that;
A bakery offers a small circular cake with a diameter =8 inches
A large circular cake with a diameter = 24 inches
Now,
For the small cake, the diameter is 8 inches, so the area is A = (π/4) × 8^2 = 16π square inches.
For the large cake, the diameter is 24 inches, so the area is A = (π/4) × 24^2 = 144π square inches.
To compare the areas, you can divide them by each other:
(144π)/(16π) = 9
This means that the large cake has 9 times the area of the small cake, not 3 times. The difference is because when you increase the diameter by a factor of 3, you increase the radius by a factor of 3 as well, and then you square it in the formula. So the area increases by a factor of 3^2 = 9.
144π - 16π = 128π square inches.
Therefore, by the area of a circle the answer will be 128π square inches.
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radius=4 for small circular cake
radius=12 for large circular cake
Area of small circular cake=16pi
Area of big circular cake=144pi
144pi/16pi=9 times bigger than small circular cake.
NO, 9 TIMES!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!