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vodomira [7]
3 years ago
8

A person who is 6 feet tall casts a shadow that is 3.5 feet long. A nearby tree casts a shadow that is 22.75 feet long. What is

the height of the tree? Show your work.
Mathematics
1 answer:
nata0808 [166]3 years ago
4 0

Answer:

The height of the tree is 39 ft

Step-by-step explanation:

Ht= Height of tree

St= Shadow of tree

Hp= Height of person

Sp= Shadow of person

<u>Ht=Hp</u>

St  Sp

<u>?ft     =     6 ft</u>

22.75 ft   3.5 ft

Multiply 22.75 ft by 22.75 ft and also divide 22.75 ft by 3.5 to get

6 ft* 6.5

? ft = 39 ft

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18/2=9
9 is ur radius
Formula for circle:
\pi times radius squared
pi*9^2
pi*81
pi~3.14
3.14*81=
254.34
8 0
3 years ago
A circular pond has a radius of 3 feet. What is the approximate distance around the edge of the pond?
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Answer:

C=6π=18.84 ( if π=3.14)

Step-by-step explanation:

distance around the edge of the pond means the circumference of the circle=

C=2πr

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3 0
3 years ago
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A circle has an area of 25pi Find the radius of the circle.<br> A. 5<br> B. 10<br> C. 25
EastWind [94]

Answer:

A. 5

Step-by-step explanation:

Given the area of the circle is 25pi. We will divide by pi. Then, the radius of the circle is r= 5.

4 0
3 years ago
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What does 3x^3 equal when x=2
victus00 [196]

Answer:

24

Step-by-step explanation:

Given

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8 0
3 years ago
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A company must select 4 candidates to interview from a list of 12, which consist of 8 men and 4 women.
Radda [10]
Part A

If 4 candidates were to be selected regardless of gender, that means that 4 candidates is to be selected from 12.

The number of possible selections of 4 candidates from 12 is given by

^{12}C_4= \frac{12!}{4!(12-4)!}= \frac{12!}{4!\times8!} =11\times5\times9=495

Therefore, the number of <span>selections of 4 candidates regardless of gender is 495.



Part B:

</span>
<span>If 4 candidates were to be selected such that 2 women must be selected, that means that 2 men candidates is to be selected from 8 and 2 women candidates is to be selected from 4.

The number of possible selections of </span><span>2 men candidates from 8 and 2 women candidates from 4 is given by

</span><span>^{8}C_2\times ^{4}C_2= \frac{8!}{2!(8-2)!}\times &#10;\frac{4!}{2!(4-2)!} \\  \\ = &#10;\frac{8!}{2!\times6!}\times\frac{4!}{2!\times2!} &#10;=4\times7\times2\times3=168

Therefore, the number of selections of 4 candidates </span><span>such that 2 women must be selected is 168.</span>



Part 3:

If 4 candidates were to be selected such that at least 2 women must be selected, that means that 2 men candidates is to be selected from 8 and 2 women candidates is to be selected from 4 or 1 man candidates is to be selected from 8 and 3 women candidates is to be selected from 4 of <span>no man candidates is to be selected from 8 and 4 women candidates is to be selected from 4.

The number of possible selections of </span>2 men candidates from 8 and 2 women candidates from 4 of <span>1 man candidates from 8 and 3 women candidates from 4 of no man candidates from 8 and 4 women candidates from 4 is given by
</span><span>
^{8}C_2\times ^{4}C_2+ ^{8}C_1\times ^{4}C_3+ ^{8}C_0\times ^{4}C_4 \\  \\ = \frac{8!}{2!(8-2)!}\times \frac{4!}{2!(4-2)!}+\frac{8!}{1!(8-1)!}\times \frac{4!}{3!(4-3)!}+\frac{8!}{0!(8-0)!}\times \frac{4!}{4!(4-4)!} \\ \\ = \frac{8!}{2!\times6!}\times\frac{4!}{2!\times2!}+\frac{8!}{1!\times7!}\times\frac{4!}{3!\times1!}+\frac{8!}{0!\times8!}\times\frac{4!}{4!\times0!} \\  \\  =4\times7\times2\times3+8\times4+1\times1=168+32+1=201

Therefore, the number of selections of 4 candidates </span><span>such that at least 2 women must be selected is 201.</span>

7 0
3 years ago
Read 2 more answers
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