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AveGali [126]
3 years ago
12

Find the tan A and sin B exactly.

Mathematics
1 answer:
Rudik [331]3 years ago
5 0

Answer:

  • B - tan A = 4/3, sin B = 3/5

Step-by-step explanation:

<u>First, lets find the length of the third side</u>

  • b = √15² - 12² = √225 - 144 = √81 = 9

<u>Now, lets get Tan A and Sin B</u>

  • Tan A = 12/9 = 4/3
  • Sin B = 9/15= 3/5

Correct option is B

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The general manager, marketing director, and 3 other employees of Company A are hosting a visit by the vice president and 2 othe
yawa3891 [41]

Solution :

Let the three places be 1, 2, 3, 4, 5, 6, 7, 8

a). Number of the cases when a general manager is the next to a vice president is equal to 7 and the these 2 can be arranged in 21 ways. So the total number of ways = 7 x 2

                  = 14

[(1,2)(2,1) (2,3)(3,2) (3,4)(4,3) (4,5)(5,4) (5,6)(6,5) (6,7)(7,8) (8,7)(7,6)]

Therefore the required probability is

  $=\frac{14}{8!}$

 = $\frac{14}{40320} = 0.000347$

b). The probability that the marketing director to be placed in the leftmost position is

   $=\frac{7!}{8!}$

  $=\frac{1}{8} = 0.125$

c). The two events are not independent because

   $P(A \cap B) \neq P(A) \times P(B)$

  $\frac{12}{8!} \neq \frac{14}{8!} \times \frac{1}{8}$

where A is the case a and B is the case b.

8 0
2 years ago
PLEASE SOMEONE HELP ASAP AND SHOW THE WORK
julsineya [31]
The sum of two sides of a triangle must be greater than the third side
1) 5+9>14
14>14 It is incorrect so you can’t have these lengths

2)7+7>15
14>15 X

3)1+2>4
3>4 X

4)3+6>8
9>8

6+8>3
14>3

8+3>6
11>6

So the fourth choice is correct
8 0
3 years ago
10 men working for 6 days can complete 5 copies of a book if there are 8 men working to complete 4 copies of the book how many d
Musya8 [376]

Answer:

6 Days

Step-by-step explanation:

Practically:

It takes,

10 Men ( complete ) 5 Copies --> 6 Days

So, 2 Men can complete 1 copy in 6 days.

Question asks us :

8 Men ( complete ) 4 Copies --> X Days

It will take 6 days because the proportion of men to copies is same as the first equation.

Theoretically:

10 Men 5 Copies 6 Days

8 Men   4 Copies  X Days

> 6/X = 8/10 ( If men decrease the number of days increase. So, it is an indirect proportion. ) . 5/4 ( If copies decrease the number of days decrease as well. So, it is a direct proportion. )

> 6/X = 8/10 . 5/4

> 6/X = 40/40

> 6/X = 1

<h2>> X=6</h2><h2></h2><h2><em>I hope it will be understood.</em></h2><h2><em>If I have any inaccuracies please let me know.</em></h2><h2><em>Have a nice day and never stop questioning!</em></h2><h3><em></em></h3>

6 0
2 years ago
Read 2 more answers
6) Which expressions are equivalent? Choose ALL that apply.
vagabundo [1.1K]

Answer

7^4

7 to the fourth power

7∙7∙7∙7

Step-by-step explanation

♡ ∩_∩

(„• ֊ •„)♡

┏━∪∪━━━━┓

♡ good luck 。 ♡

┗━━━━━━━┛

5 0
2 years ago
jessie worked four more hours than Ben. They worked a total of 25 hours. How many hours did each boy workz?
Mandarinka [93]

Answer:

jessie: 14.5

ben: 10.5

3 0
3 years ago
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