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arlik [135]
3 years ago
7

the circle at eh top of a cylinder has a radius of 3.3 inches. the cylinder is 21 inches long. what is the volume of the cylinde

r?
Mathematics
1 answer:
Art [367]3 years ago
3 0

Answer:

V =718.0866 in^3

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2h

The radius is 3.3 and the height is 21

V = pi (3.3)^2 * 21

V = pi (10.89) (21)

V =pi 228.69

We can approximate pi by 3.14

V = 3.14(228.69)

V =718.0866 in^3

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bryan has some 3 cent stamps and some 4 cent stamps. what is the least number of stamps he can combine so the value of the stamp
SashulF [63]

Answer:

The least number of stamps required is 9

Step-by-step explanation:

Let the number of 3 cent stamps be x and 4 cent stamps be y

We have

3x+4y=33

The minimum number is obtained when more  4 cent stamps are used

Here y cannot be greater than 8 since \frac{33}{4}

Substitute y=8

3x+4\times 8=33\\\\3x=1\\\\x=\frac{1}{3}

Not possible since x is not a fraction

Substitute y=7

3x+4\times 7=33\\\\3x=5\\\\x=\frac{5}{3}

Not possible since x is not a fraction

Substitute y=6

3x+4\times 6=33\\\\3x=9\\\\x=\frac{9}{3}\\\\=3

Possible

Hence minimum number of stamps is

=x+y\\\\=3+6\\\\=9

5 0
3 years ago
There are 7800 grams of lodine that have a half-life of 8 days. How much lodine will remain after 40 days?
anygoal [31]

Given that we know the initial mass of Iodine and its half-life, we want to see how much will remain after 40 days.

After 40 days, 244.17 grams of Iodine will remain.

<h3 /><h3>The half-life of materials and how to use it:</h3>

The half-life of a material is the time it takes for that amount of material to reduce to its half.

We can model the amount of Iodine as:

A(t) = A*e^{k*t}

  • Where A is the initial amount, in this case, 7800g.
  • k is a constant that depends on the half-life.
  • t is the time in days.

Replacing what we know, we get:

A(t) = 7800g*e^{k*t}

Now we use the fact that the half-life is 8 days, this means that:

e^{k*8} = 1/2

ln(e^{k*8}) = ln(1/2)

k*8 = ln(1/2)

k = ln(1/2)/8 = -0.0866

Then the function is:

A(t) =  7800g*e^{-0.0866*t}

So now we just need to evaluate this in t = 40.

A(40) = 7800g*e^{-0.0866*40} = 244.17g

So, after 40 days, 244.17 grams of Iodine will remain.

If you want to learn more about half-life and decays, you can read:

brainly.com/question/11152793

3 0
2 years ago
What is the greatest common factor of these number 12x^3, 16x^2, 20x?​
Mrac [35]

Answer:

Step-by-step explanation:gsgsbwbw

Hshsh

7 0
3 years ago
Read 2 more answers
$30,000 is invested for 15 years with an APR of 4.5% and daily compounding.
Alex73 [517]

Answer:

202500

Step-by-step explanation:

15x0.45=6.75

30000x6.75=202500

6 0
2 years ago
Radha purchased a cosmetic item at 5 % discount. If she got the discount amount of
Fiesta28 [93]

Answer:

She purchased the item at a price of Rs 1,406.

Step-by-step explanation:

5% of discount:

This means that she paid 100% - 5% = 95% = 0.95 of the original price of x, that is, 0.95x, and 0.05x was the discount.

Original price:

She got the discount amount of Rs 74.

74 is 5% of the original price, that is:

0.05x = 74

x = \frac{74}{0.05}

x = 1480

What price she purchased:

74 subtracted from the original price, that is, x - 74. So 1480 - 74 = 1406.

She purchased the item at a price of Rs 1,406.

4 0
3 years ago
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