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3 years ago

A 20 feet tree casts a shadow that is 32 feet long. What is the distance from the top of the tree to the tip of the shadow?

Mathematics

1 answer:

tester [92]3 years ago

5 0

Answer:

37.7359

Step-by-step explanation:

first you visualize the shape created

if you visualize it... it will look like a right angled triangle

and we are looking for the longest side

remember the pythagoras theorem c^2= a^2 + b^2

in this case we are looking for c

a^2= 20^2

b^2= 32^2

400+ 1024= 1424

therefore c^2= 1424

then you square root 1424

to get 37.7359

note- the answer is solely based on the information given

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The experimental probability of a coin landing on heads is 7/12. If the coin landed on tails 30 times, find the number of tosses

nordsb [41]

Answer: 72 tosses

Explanation: If the probability of landing heads is 7/12, the probability of landing tails is 5/12. So then you do cross multiplication, where you multiply the 12 and the 30, equalling 360. Then divide that by 5, equalling 72.

4 0

4 years ago

PLEASE HELP ME!!!

Andrew [12]

Given:

A fraction is greater than $\dfrac{3}{12}$ , is less than $\dfrac{75}{100}$ .

The fraction has 6 as a denominator.

To find:

The fraction value.

Solution:

Let x be the required fraction.

According to the given information, we get

$\dfrac{3}{12}$

$\dfrac{1}{4}$

We know that, $\dfrac{1}{4}$ . So,

$x=\dfrac{2}{4}$

$x=\dfrac{1}{2}$

We need 6 as the denominator.

Multiply the numerator and denominator by 3.

$x=\dfrac{1\times 3}{2\times 3}$

$x=\dfrac{3}{6}$

Therefore, the required fraction is $\dfrac{3}{6}$ .

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3 years ago

Suppose you are managing 17 employees, and you need to form three teams to work on different projects. Assume that all employees

Mkey [24]

Answer:

24414 combinations

Step-by-step explanation:

Solution:-

- We have 17 employees that needs to be managed for a project.

- We will choose all of our employees equally likely for 3 projects.

Project 1 = 8 spacings

- So we have 17 available employees to choose from. So we choose (combinations):

Project 1 = 17C8 = 24310 combinations

- We are left with 17 - 8 = 9 employees, for the next project:

Project 2 = 3 spacings

- So out of the available 9 employees project 2 would have:

Project 2 = 9C3 = 84 combinations

- We are left with 9 - 3 = 6 employees, for the next project:

Project 3 = 3 spacings

- So out of the available 6 employees project 3 would have:

Project 3 = 6C3 = 20 combinations

- The total number of combinations fro selecting 17 employees for each project would be:

24310 + 84 + 20 = 24414 combinations

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3 years ago

Given the functions f(n) = 25 and g(n) = 3(n − 1), combine them to create an arithmetic sequence, an, and solve for the 12th ter

lidiya [134]

F(n) = 25
g(n) = 3(n - 1)
g(n) = 3(n) - 3(1)
g(n) = 3n - 3

4 0

3 years ago

Read 2 more answers

Solve : X^2 - 3x = -8 And Solve : -2x^2 - 16x - 44 = 0

Aleonysh [2.5K]

Answer:

X = 8/3 + X^2/3

X = -4 ± i $\sqrt{6}$

Step-by-step explanation:

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4 years ago

A 20 feet tree casts a shadow that is 32 feet long. What is the distance from the top of the tree to the tip of the shadow? ​

A 20 feet tree casts a shadow that is 32 feet long. What is the distance from the top of the tree to the tip of the shadow?