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3 years ago

The hidden question the sum of three different numbers is 18. If every number is a prime number, what are the three numbers

Mathematics

2 answers:

sashaice [31]3 years ago

3 0

5, 11 and 2 are all prime numbers which add together to create 18.
5+11=16+2=18

Sveta_85 [38]3 years ago

3 0

For these types of questions you have to think it out. List the prime source lower than 18. 2,3,5,7,11,13,17. Then take a look and test some pairs.

Eventually you'll find that 11, 5, 2 is a solution.

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The figure is made up of a cylinder and a cone. What is the volume of the composite figure? Use 3.14 for Pi. Round to the neares

Delvig [45]

Answer:

The volume of figure is 310.86 cm³

Step-by-step explanation:

First, you have to calculate the volume of cone and cylinder seperately by applying the formulas :

Cone,

$v = \frac{1}{3} \times \pi \times {r}^{2} \times h$

$let \: \pi = 3.14 \\ let \: r = 3 \\ let \: h = 9$

$v = \frac{1}{3} \times 3.14 \times {3}^{2} \times 9$

$v = 84.78 \: {cm}^{3}$

Cylinder,

$v = \pi \times {r}^{2} \times h$

$let \: \pi = 3.14 \\ let \: r = 3 \\ let \: h = 8$

$v = 3.14 \times {3}^{2} \times 8$

$v = 226.08 \: {cm}^{3}$

Next, you have to add up both volumes as the figure are made from cone and cylinder :

$v = 84.78 + 226.08$

$v = 310.86 \: {cm}^{3}$

3 0

3 years ago

Please please please please just answer quickly i have short time left

Nastasia [14]

9514 1404 393

Answer:

(x, y) = (10, 4)

Step-by-step explanation:

Opposite sides are the same length, so ...

ON = LM

6x -3 = 4x +17

2x = 20 . . . . . . . . add 3-4x

x = 10

OL = NM

x -5 = 3y -7

10 -5 + 7 = 3y . . . . . substitute x, add 7

12/3 = y = 4 . . . . . . simplify, divide by 3

The values of x and y are 10 and 4, respectively.

5 0

3 years ago

Seema deposited $800 in a saving account earning 2.88% compounded annually. To the nearest cent, how much will she have in 16 ye

ehidna [41]

Answer:

1260.04

Step-by-step explanation:

The formula for compound interest is:

A = P(1+ $\frac{r}{n}$ $)^{nt}$ where A is the final amount, P is the initial principal balance, r is the interest rate, n is the number of times interest applied per time period and t is the number of time periods elapsed. Since the deposit was compounded annually, just like the interest, we can omit the n in the equation.