Answer:
40π/3 cm^2 ≈ 41.89 cm^2
Step-by-step explanation:
The centerline of the shaded region has a radius of 3cm+(4 cm)/2 = 5 cm. Its length is 1/3 that of the circumference of a circle with that radius (because 120° is 1/3 of 360°).
The area is the product of the centerline length and the width of the shaded area (4 cm).
shaded area = (1/3)(2π(5 cm))(4 cm)
shaded area = 40π/3 cm^2 ≈ 41.89 cm^2
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<em>Alternate solution</em>
The area of the donut is the difference in the areas of the outer and inner circles:
πr₂² -πr₁² = π((7 cm)^2 -(3 cm)^2) = 40π cm^2
The are of the shaded region is (120°/360°) = 1/3 of that, so is
shaded area = (40/3)π cm^2
Answer:
81 times the original size
Step-by-step explanation:
AA0ktA=3A0=?=?=25hours=A0ekt
Substitute the values in the formula.
3A0=A0ek⋅25
Solve for k. Divide each side by A0.
3A0A0=e25k
Take the natural log of each side.
ln3=lne25k
Use the power property.
ln3=25klne
Simplify.
ln3=25k
Divide each side by 25.
ln325=k
Approximate the answer.
k≈0.044
We use this rate of growth to predict the number of bacteria there will be in 100 hours.
AA0ktA=3A0=?=ln325=100hours=A0ekt
Substitute in the values.
A=A0eln325⋅100
Evaluate.
A=81A0
At this rate of growth, we can expect the population to be 81 times as large as the original population.
So, what we do here is divide 70 / 6.5
70 / 6.5 = 10.7692308 (approximately). Then, multiply this number by 8
10.7692308 x 8 = 86.15 (approximately). So, C. 86.15 is the correct answer!
Answer:
4 hours 48 minutes
Step-by-step explanation:
Right now, in this problem the whole set comprises of a single day and you know that there are 24 hours in a day.
In order to solver the problem,you have to draw a number line of length 24 and then separate it into 5 equal parts. (because there are total five brothers)
or simply, just divide 24 by 5.
= 24/5 => 4
hours
lets convert 4/5 hour to minutes, as you know there are 60 minutes in one hour.
therefore, 4/5 x 60= 48 minutes.
Answer: Each brother will spend 4 hours watching the puppy in single day, which is likewise 4 hours 48 minutes
