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2 years ago

Can someone please help

Mathematics

1 answer:

irina1246 [14]2 years ago

3 0

Answer:

134.04 cm³ (rounded to tenths)

Step-by-step explanation:

The radius(r) is 4 cm

The height(h) is 8 cm

Using the equation and plugging in the values, you get

$\frac{\pi *4^{2}*8 }{3} = 134.0412866$

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Answer: (21,12)

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2 years ago

What is 30% of 70?<br><br> I am confused

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2 years ago

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The radioactive element carbon-14 has a half-life of 5750 years. A scientist determined that the bones from a mastodon had los

Gnesinka [82]

The bones at the time they were discovered when the radioactive element carbon-14 has a half-life of total 5750 years are 10062.5-year-old.

<h3>What is half-lives?</h3>

Half lives is the time interval which is need to decay the atomic nuclei of a radioactive sample.

There is a scientist who determined that the bones from a mastodon had lost 70.3% of their carbon-14. Thus, the fraction remaining is,

f=1-(70.3/100)=1-0.703

f=1-(70.3/100)=0.297

Now the fraction remaining can be given as,

f=(1/2)ⁿ

Here, n is the half life elapsed. Put the value of fraction remaining.

0.297=(1/2)ⁿ

n=1.75

The radioactive element carbon-14 has a half-life of total 5750 years. Thus,

Years=1.75*5750

Years=10062.5

Thus, the bones at the time they were discovered when the radioactive element carbon-14 has a half-life of total 5750 years are 10062.5-year-old.

Learn more about the half lives here;

brainly.com/question/2320811

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6 0

1 year ago

A) There are 100 students who play at least one of volleyball, soccer and hockey, of these 50 play au three games, 84 play socce

Scilla [17]

Answer:

Step-by-step explanation:

Let H be the set of students who play Hokey

V be the set of students who play Volleyball

S be the set of students who play Soccer

======================================

card(volleyball only) = card(V) - [card(V∩H∩S) + card(V∩H only) + card(V∩S only)]

= 73 - [50 + (58-50) + (62-50)]

= 73 - [50 + 8 + 12]

= 73 - 70

= 3

………………………………………………

Card(Hokey only) = 100 - [3 + 8 + 50 + 10 + 12 + 12]

= 100 - 95

= 5

…………………

<u><em>Note</em></u> :

A Venn diagram might be helpful in such case.

5 0

1 year ago

10 points!!! please help :(

daser333 [38]

To complete the identity, we need these fundamental identities:

$1)\displaystyle{sec(x)=\frac{1}{cos(x)}$

$2) cos(x-y)=cos(x)cos(y)+sin(x)sin(y)$

$\displaystyle{csc(x)= \frac{1}{sin(x)}$

Thus, by identity 1 we have:

$\displaystyle{ sec( \frac{ \pi }{2}-\theta )= \frac{1}{cos(\frac{ \pi }{2}-\theta)}$

by identity :

$\displaystyle{cos(\frac{ \pi }{2}-\theta)=cos(\frac{ \pi }{2})cos(\theta)+sin(\frac{ \pi }{2})sin(\theta)$

recall the values :

$\displaystyle{ sin(\frac{ \pi }{2})^R=sin(90^o)=1\\\\$

$\displaystyle{ cos(\frac{ \pi }{2})^R=cos(90^o)=0$ ,

so:

$cos(\frac{ \pi }{2})cos(\theta)+sin(\frac{ \pi }{2})sin(\theta)=0+sin(\theta)=sin(\theta)$

Putting all these together, we have:

$\displaystyle{ sec( \frac{ \pi }{2}-\theta )= \frac{1}{cos(\frac{ \pi }{2}-\theta)}= \frac{1}{cos(\frac{ \pi }{2})cos(\theta)+sin(\frac{ \pi }{2})sin(\theta)}= \frac{1}{sin(\theta)}}$

which is equal to $csc(\theta)$ , by identity 3

Answer: D

7 0

3 years ago