The space (area) covered by icing on the top of each piece of cake is 0.636 inches squared.
<h3>What is space?</h3>
Space refers to the surface or area of an object.
The space can also refer to the distance or volume covered in a measurement.
The area of space using its diameter can be computed using the following formula.
<h3>Data and Calculations:</h3>
Diameter of cake = 9 inches
Radius = 4.5 inches (9 inches/2)
The radius of each of the ten slices = 0.45 inches (4.5/10)
Area = πr^2
where π = 22/7
r = radius
Area (space covered by the icing on the top of each piece of cake
= 22/7 x 0.45^2
= 22/7 x 0.2025
= 0.636 inches squared.
Thus, the space (area) covered by icing on the top of each piece of cake is 0.636 inches.
Learn more about calculating area using diameter at brainly.com/question/8890680
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Answer:
The current amount of the Potassium-40 sample is approximately 37.521 grams.
Explanation:
The amount of the sample of the radioactive isotope decays exponentially in time, the amount of mass of the sample as a function of time (
), in grams, is described below:
(1)
Where:
- Initial mass, in grams.
- Time, in years.
- Time constant, in years.
The time constant can be found from half life (
), in years, described in statement:
(2)
If we know that
,
and
, then the current amount of the sample is:




The current amount of the Potassium-40 sample is approximately 37.521 grams.
Answer:3x + 7y = 63
Explanation:The equation of PQ is
y = -(3/7)x + b
To find b, note that the line passes through the point (7,6). Therefore
6 = -(3/7)*7 + b
6 = -3 + b
b = 9
The equation of PQ is
y = - (3/7)x + 9
or
7y = -3x + 63
3x + 7y = 63
Pretty sure its c. From the text you provided me