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vlabodo [156]
3 years ago
15

Questlon 9 of 10

Mathematics
1 answer:
slavikrds [6]3 years ago
7 0

Answer:

a) tan = 15/8

b) csc = 17/15

d) sec = 17/8

Step-by-step explanation:

Let me know if this is right Please :(

hope this helps :)

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Which equation does the graph represent (see picture)
egoroff_w [7]
Y=Mx +b

B is 0 because that’s where the graph intercepts the y axis.

M is found by picking any two points and finding the rise and run because m is equal rise/run

Points of choice: (-2,4) and (2,-4)

=2−1/2−1 = -8/4

m is equal -2

Y= -2X

Look at the picture below to differentiate between positive and negative slopes.

8 0
3 years ago
A club consisting of 6 juniors and 8 seniors is to be formed from a group of 13 juniors and 16 seniors. How many different clubs
Vilka [71]

Answer: 22,084,920 different clubs

Step-by-step explanation:

The club must have 6 juniors and 8 seniors

We have a total of 13 juniors and 16 seniors.

Now, we know that the possible combinations of N objects into a group of K is equal to:

C = \frac{N!}{(N-K)!*K!}

For the juniors we have N = 13 and K = 6

Cj = \frac{13!}{7!*6!} = \frac{13*12*11*10*9*8}{6*5*4*3*2*1} = 1716

For the seniors we have N = 16 and K = 8

Cs = \frac{16!}{8!8!}  = \frac{16*15*14*13*12*11*10*9}{8*7*6*5*4*3*2*1} = 12870

Now, as the group consist on both combinations togheter, the number of different clubs that can be formed are:

C = Cj*Cs = 1,716*12,870 = 22,084,920

5 0
3 years ago
Un rollo de cable mide más de 150 metros y menos de 200 metros. ¿Cuál es su longitud exacta, sabiendo que se puede dividir en tr
lapo4ka [179]

Answer:

<h2>The cable measures 180 meters.</h2>

Step-by-step explanation:

To solve this problem, we need to find the Least Common Factor between 15 and 9.

15    9   | 3

5      3  |  3

5      1   |  5

1

So, the Least Common Factor would be 3x3x5 = 45. But, we need a multiple of this number which must be between 150 and 200. So,

45 x 4 = 180.

Therefore, the cable measures 180 meters.

5 0
3 years ago
In 1995, a public library had 16,000 books on its shelves. In 1999 the library had 19,000 books. Find the average rate of change
marusya05 [52]

Answer:

<u><em>750 Books Per Year</em></u>

Step-by-step explanation:

For this problem, we will be using the standard Rate Of Change formula that we use for graphs:

<em>RoC = (y2 - y1) / (x2 - x1)</em>

y = books

x = year

By plugging in the given values:

RoC = (19000 - 16000) / (1999 -1995)

RoC = 3000 / 4

<u>RoC = 750</u>

6 0
3 years ago
(Image)---------- (in link)
inna [77]

Answer:

You could solve this by taking the y value and adding it to the multiplied rate.

For example: For Jill's 6 year mark, the equation would be 11(6) + 15.

Hope this makes sense, don't hesitate to ask for clarification on a certain part of the answer.

8 0
3 years ago
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