Look at triangle LEM. Write an expression that can be used to find the measure of angle M?

Klio2033 [76]

You'd want to simplify that by dividing both terms by the greatest common factor which is the product of the shared primes of both numbers prime factorization...

364=2*2*7*13, 78=2*3*13, so the GCF is 2*13=26, now divide both terms by 26

14:3

8 0

3 years ago

A special type of door lock has a panel with five buttons labeled with the digits 1 through 5. This lock is opened by a sequence

belka [17]

There are several ways the door can be locked, these ways illustrate combination.

There are 3375 possible combinations

From the question, we have:

$\mathbf{n = 5}$ --- the number of digits

$\mathbf{r = 3}$ ---- the number of actions

Each of the three actions can either be:

Pressing one button
Pressing a pair of buttons

The number of ways of pressing a button is:

$\mathbf{n_1 = ^5C_1}$

Apply combination formula

$\mathbf{n_1 = \frac{5!}{(5-1)!1!}}$

$\mathbf{n_1 = \frac{5!}{4!1!}}$

$\mathbf{n_1 = \frac{5 \times 4!}{4! \times 1}}$

$\mathbf{n_1 = 5}$

The number of ways of pressing a pair is:

$\mathbf{n_2 = ^5C_2}$

Apply combination formula

$\mathbf{n_2 = \frac{5!}{(5-2)!2!}}$

$\mathbf{n_2 = \frac{5!}{3!2!}}$

$\mathbf{n_2 = \frac{5 \times 4 \times 3!}{3! \times 2 \times 1}}$

$\mathbf{n_2 = 10}$

So, the number of ways of performing one action is:

$\mathbf{n =n_1 + n_2}$

$\mathbf{n =5 + 10}$

$\mathbf{n =15}$

For the three actions, the number of ways is:

$\mathbf{Action = n^3}$

$\mathbf{Action = 15^3}$

$\mathbf{Action = 3375}$

Hence, there are 3375 possible combinations

Read more about permutation and combination at:

brainly.com/question/4546043

4 0

3 years ago

Pleaseeeee helpp me question 2 .

OLga [1]

Answer: If you are supposed to graph a line, it will be a horizontal line (parallel to the x-axis) passing through +3 on the y-axis. The slope is 0.

it is a function.

If you are doing range and domain, the range is [3] and the domain is [1,2,3,4,5]

Step-by-step explanation: If there are directions above question 1 that apply to question 2, please add them to the comments.

Maybe someone else will be able to help if it is too late for me to edit this answer.

8 0

3 years ago

Can somebody HELP me as soon as possible.

Butoxors [25]

Answer:

A: Linear

B: Nonlinear

C: Linear

4 0

3 years ago

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I’m too lazy to do all of this and I’m also a little confused on it, and I also have more hw besides this one, so ima need all t

Oliga [24]

Answer:

14. 70% of 20000 is 14000. 25% of 14000 is 3500. 3500 students applied.

15. The percentage of 4000 that 2600 equates to would be 65%.

16. 4% of 33000 is 1320.

16b. Double of 1320 is 2640.

17. 3% of 110 + 275 + 200 + 145 is 21.9. 97% of that is 711.1. Total is 730.

18. There are 1656 men working. Total of 1380 + 1656 is 3036. Two ways to solve this are:

Honestly I can't think of two. Sorry, my brain is completely fried today.

19. 760 in sales commissions to meet the wage amount.

20. The agency gets 21010. 30% of that is 6303. This is explained by owning a calculator or simple value elimination.

6 0

2 years ago

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