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4 years ago

What is the volume of the solid figure below

Mathematics

1 answer:

vichka [17]4 years ago

5 0

This got extremely messy so I apologize but I believe the correct answer is 80 cm³

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A man is distributing his coin collection with 35 coins to his five grandchildren. How many ways are there to distribute the coi

Musya8 [376]

Answer:

a) $82251$

b) $2.91038 \cdot 10^{24}$

c) $1$

d) $3.17746\cdot 10^{21}$

Step-by-step explanation:

a) If the coins are all the same, we have a combination of 35 identical coins in 5 persons.

The amount of combinations is

$\binom{n+r-1}{r-1}=\binom{35+5-1}{5-1}=\binom{39}{4}=\frac{39!}{4!35!} =82251$

being n the number of coins and r the number of grandchildren.

b) If the coins are different, the number of combinations can be calculated as:

$r^n=5^{35}=2.91038 \cdot 10^{24}$

c) If the coins are all the same, and each grandchild gets the same number of coins, there is only one combination for that (everyone gets 35/5=7 coins)

d) If the coins are all distinct, but each of the grandchildren get the same numer of coins, the expression to calculate this is:

$\frac{n!}{(n/r)!^r} =\frac{35!}{(35/5)!^5}=\frac{35!}{7!^5}=\frac{1.03331\cdot 10^{40}}{3.25202\cdot 10^{18}} =3.17746\cdot 10^{21}$

3 0

3 years ago

This is due today!!! Please help!!! C. What number is 40% of 160

Vika [28.1K]

Answer:

Step-by-step explanation:

40% = .4

160*.4 = 64

64 = 40% of 160

6 0

3 years ago

The cost of renting a car is $47 /week plus $0.25 /mile traveled during that week. An equation to represent the cost would be y=

RUDIKE [14]

Answer:

a. 61.25

b. 70

c. 212

Step-by-step explanation:

a. What is your cost if you travel 57 miles?

The cost is $ .

y=47+0.25x

y=47+0.25(57)

y=47+14.25

answer: 61.25

b. If your cost was $64.50, how many miles were you charged for traveling?

You were charged for traveling miles.

64.50-47=0.25x

17.50=1/4x

17.50*4

answer 70=x

c. Suppose you have a maximum of $100 to spend for the car rental. What would be the maximum number of miles you could travel?

The maximum number of miles you could travel is miles.

100-47

53=1/4x

answer : x= 212

5 0

2 years ago

Find the exact length of the third side. 51

Nesterboy [21]

Answer:

Step-by-step explanation:

You can use the Pythagorean Theorem to solve this:

$a^{2} + b^{2} = c^{2}$

The legs of the triangle are put into either a or b and the hypotenuse is put into c. In this case, they've already given you the hypotenuse, but now you need to find the leg:

$45^{2} + b^{2} = 51^{2}$