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Paha777 [63]
2 years ago
14

A cylinder has a height of 16 cm and a radius of 5 cm. A cone has a height of 12 cm and a radius of 4 cm. If the cone is placed

inside the cylinder as shown, what is the volume of the air space surrounding the cone inside the cylinder? (Use 3.14 as an approximation of ‘pi’.)
Mathematics
1 answer:
Molodets [167]2 years ago
6 0

Answer:

653.45 cm3

Step-by-step explanation:

First calculate the volumes of both cylinders, the formula is pi x radius^2 x height.

so, big cylinder = 1256...cm3. small cylinder = 603...cm3

Then take away the large from small.

1256...-603...

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The growth of a city is described by the population functionwhereis the initial population of the city, t is the time in years,
mamaluj [8]

Complete question:

The growth of a city is described by the population function p(t) = P0e^kt where P0 is the initial population of the city, t is the time in years, and k is a constant. If the population of the city atis 19,000 and the population of the city atis 23,000, which is the nearest approximation to the population of the city at

Answer:

27,800

Step-by-step explanation:

We need to obtain the initial population(P0) and constant value (k)

Population function : p(t) = P0e^kt

At t = 0, population = 19,000

19,000 = P0e^(k*0)

19,000 = P0 * e^0

19000 = P0 * 1

19000 = P0

Hence, initial population = 19,000

At t = 3; population = 23,000

23,000 = 19000e^(k*3)

23000 = 19000 * e^3k

e^3k = 23000/ 19000

e^3k = 1.2105263

Take the ln

3k = ln(1.2105263)

k = 0.1910552 / 3

k = 0.0636850

At t = 6

p(t) = P0e^kt

p(6) = 19000 * e^(0.0636850 * 6)

P(6) = 19000 * e^0.3821104

P(6) = 19000 * 1.4653739

P(6) = 27842.104

27,800 ( nearest whole number)

3 0
3 years ago
Please answer this question now
borishaifa [10]

Answer:

70 degrees

Step-by-step explanation:

Measure of arc ABC is 128 degrees, so measure of arc BC is 128-90 = 38 degrees.

Meausure of arc BCD is 102 + 38 = 140 degrees, so measure of angle A is 140/2 = 70 degrees

7 0
2 years ago
Read 2 more answers
A quadratic function with zeroes 1 and -9
baherus [9]

Answer:

(x-1)(x+9) or x^2 + 8x-9, if you simplify.

Step-by-step explanation:

8 0
2 years ago
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Compare the rates to find which is the best value.
sattari [20]

Answer:

C6 greeting cards for $23.40

Step-by-step explanation:

A. 13.5/3=4.5

B. 38.25/9=4.25

C. 23.4/6=3.9

d. 32.8/8=4.1

5 0
2 years ago
The annual interest rate on a $10,000 loan is 18%. The exponential function that represents this is y = 10000(1.18t). Write the
Yuki888 [10]

Answer:

y=10000(1.015)^{12t}

option-B......Answer

Step-by-step explanation:

We are given

amount taken for loan =$10000

so, P=10000

annual interest rate =18%

r=0.18

now, we can use formula

y=P(1+\frac{r}{n} )^{nt}

Since, it is compounded monthly

so, n=12

we can plug values

y=10000(1+\frac{0.18}{12} )^{12t}

y=10000(1.015)^{12t}

6 0
3 years ago
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