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3 years ago

please help :( please help :( please help :( please help :( please help :( please help :( please help :( please help :(

Mathematics

1 answer:

Virty [35]3 years ago

8 0

Answer:

(1) 23.55mm³

(2) 340.17in³

Step-by-step explanation:

Volume of a cone is: $V=\frac{1}{3} \pi r^2h$

'r' - radius

'h' - height

The height of Cone 1 is 10 mm. The Diameter of Cone 1 is 3mm.

Radius is half the Diameter.

$3/2=1.5$

The radius is 1.5 mm.

$\text {Using 3.14 as pi: }\\V=(1/3)3.14*1.5^2*10\\V=(1/3)3.14*2.25*10\\V=(1/3)70.65\\\boxed{V=23.55}$

The volume of Cone 1 should be about 23.55mm³.

The height of Cone 2 is 13 in. The Radius of Cone 2 is 5 in.

Using 3.14 as pi:

$V=(1/3)3.14*5^2*13\\V=(1/3)3.14*25*13\\V=(1/3)1020.5\\\boxed {V=340.166666667}$

340.166666667 ≈ 340.17

The volume of Cone 2 should be about 340.17in³.

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Alexeev081 [22]

Answer:

There are 2,480,721,300,000,00 ways to paint this set.

Step-by-step explanation:

We have that:

A set of 27 elements, of which:

7 are painted white

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2 are painted blue

7 are painted yellow

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A single change in the set, for example, element 0 exchanged with element 1, means we have a new way. So we use the permutations formula to solve this problem:

Permutations

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The number of ways is:

$P{x}_{w,y,z} = \frac{x!}{w!y!z!}$

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A set of 27 divided into sets of 7,6,2,7,5. So

$P{27}_{7,6,2,7,5} = \frac{27!}{7!6!2!7!5!} = 2,480,721,300,000,00$

There are 2,480,721,300,000,00 ways to paint this set.

3 0

3 years ago

What values of x is log (2x-5) valid

sergiy2304 [10]

Answer:

To solve this you must first know how Log works.

When we say log1000 of base 10

log1000=3

What we actually say is for the power 3(value on RHS) of 10(the base of log) we get 1000(the value on which log is performed).

So log2x=−5 (i am assuming base 10 since it is simple algebra) means that

2x=10−5

x=10−5/2

Do this simple calculation and you have it. If anything is unclear/incorrect feel free to comment.

The question is not written properly, so I will give the answer(s) I think would be suitable.

If you were trying to solve this

log2x=−5

⟹x=2−5

⟹x=132

But if you were trying to solve this

log2x=−5

⟹log102x=−5

⟹2x=10−5

⟹x=12×105=1200000

Step-by-step explanation:

Hope it is helpful...

4 0

3 years ago

Which data set has a wider spread? Why? Set A: {9, 11, 24, 11, 4, 20, 16, 7, 18, 15, 28, 6} Set B: {9, 12, 15, 3, 21, 24, 5, 9,

olchik [2.2K]

Data Set A:
Lowest Value is 4
Highest Value is 28
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Data Set B:
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Highest Value is 24
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Data Set A has bigger range than Data Set B, hence it has a wider range

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7 0

3 years ago

What is another way to express 42 +24?

-BARSIC- [3]

Answer:

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Step-by-step explanation:

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8 0

3 years ago

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X equals 10, Y equals -2, and Z equals -5 what is x divided by y