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3 years ago

Which trigonometric function would be used to find the length of this triangle's hypotenuse?

Mathematics

1 answer:

drek231 [11]3 years ago

3 0

You could use sin(25)=12/H
solve for H.
use pythagorean thm to doubke check answer

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Tim must read 2 books from a list of 7 recommended books for his summer reading program. In how many different ways can Tim choo

Marianna [84]

There are 21 ways Tim choose 2 books from the 7 recommended book

Solution:

Given that Tim must read 2 books from a list of 7 recommended books for his summer reading program

To find: different ways can Tim choose 2 books from the 7 recommended books

This is a combination problem

A combination is a selection of all or part of a set of objects, without regard to the order in which objects are selected

The formula for combinations is:

$n C_{r}=\frac{n !}{r !(n-r) !}$

where n represents the number of items, and r represents the number of items being chosen at a time

Here we have to choose 2 books from 7 books

Therefore, n = 7 and r = 2

Substituting values in above formula, we get

$\begin{aligned}&7 C_{2}=\frac{7 !}{2 !(7-2) !}\\\\&7 C_{2}=\frac{7 !}{2 ! \times 5 !}\end{aligned}$

For a number n, the factorial of n can be written as,

$n !=n \times(n-1) \times(n-2) \dots \dots \times 2 \times 1$

Therefore, we get

$7 C_{2}=\frac{7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1}{2 \times 1 \times 5 \times 4 \times 3 \times 2 \times 1}\\\\7C_2 = 7 \times 3 = 21$

Thus there are 21 ways Tim choose 2 books from the 7 recommended book

7 0

3 years ago

What is the distance between -36 and -4 on a number line?

Amanda [17]

-4 - (-36) = -4 + 36 = 32 units

4 0

3 years ago

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Which of the following is the correct name for the compound HF

kumpel [21]

Answer:

Los pasajeros pasan por el ____.

equipaje

maletero

control de seguridad

mostrador

Step-by-step explanation:

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3 years ago

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20 points 3 math questions please help with these math questions

JulsSmile [24]

Answer:

B, False,

Step-by-step explanation:

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Why is the point (12, 780) significant on the graph of the functions representing these three salesmen? Use complete sentences t

patriot [66]

Answer:

Hope this helps 0>0

Step-by-step explanation:

Let x represent the number of sales each man had.

For Salesman A, he earns $65 per sale; this is 65x.

For Salesman B, he earns $40 per sale; this is 40x. We also add to this his weekly salary of $300; this gives us 40x+300.

Since their pay was equal, set the two expressions equal:

65x = 40x+300

Subtract 40x from each side:

65x-40x = 40x+300-40x

25x = 300

Divide both sides by 25:

25x/25 = 300/25

x = 12

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3 years ago

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