All categories

3 years ago

Product formula.a) 2sin48° cos12° help me.....(step by step)

Mathematics

1 answer:

Nadya [2.5K]3 years ago

5 0

Answer:

Step-by-step explanation:

2SIn A Cos B = Sin (A + B) + Sin (A - B)

2 Sin 48 Cos 12 = Sin (48 +12) + Sin (48 -12)

= Sin 60 + Sin 36

You might be interested in

Find the missing value so that the line passing through the points has the given slope.

liberstina [14]

Answer:

Step-by-step explanation:

( $x_{1}$ , $y_{1}$ )

( $x_{2}$ , $y_{2}$ )

m = $\frac{y_{2} -y_{1} }{x_{2} -x_{1} }$

~~~~~~~~~

(7, 1)

(x, 4)

m = $\frac{3}{4}$

$\frac{4-1}{x-7}$ = $\frac{3}{4}$

x - 7 = 4

<em>x = 11</em>

7 0

3 years ago

Choose the method to solve the problem below: There are members on a board of directors. If they must form a subcommittee of mem

shepuryov [24]

Answer:

b. 56

Step-by-step explanation:

Please consider the complete question.

There are 8 members on a board of directors. If they must form a subcommittee of 3 members, how many different subcommittees are possible?

We will use combinations for solve our given problem.

$^nC_r=\frac{n!}{r!(n-r)!}$ , where,

n = Number of total items,

r = Items being chosen at a time.

For our given scenario $n=8$ and $r=3$ .

$^8C_3=\frac{8!}{3!(8-3)!}$

$^8C_3=\frac{8!}{3!\cdot 5!}$

$^8C_3=\frac{8\cdot7\cdot6\cdot5!}{3\cdot2\cdot1\cdot 5!}$

$^8C_3=8\cdot7$

$^8C_3=56$

Therefore, 56 different subcommittees are possible and option 'b' is the correct choice.

4 0

3 years ago

The program director at a botanical garden surveyed 75 of their annual members about the number of times they visit the gardens

Tatiana [17]

Answer: C) 165 annual members

Step-by-step explanation:

Those who will visit the garden more than 3 times in the next month will be those who visit 4, 5, and 6 or more times.

Out of the 75 surveyed, the total number of those are:

= 9 + 12 + 3

= 24

That would give a percentage of:

= 24 / 75

= 32%

This means that the best estimate for those who will visit more than 3 times is 32%.

Out of the total number of 516, that is:

= 32% * 516

= 165 members

6 0

3 years ago

Standard 6 sided die is weighted so that the probabilities of rolling 2,3,4,5 or 6 are equal and the probability of rolling 1 is

bulgar [2K]

There are 6 sides of the die, let us say that side 1 is S1, side 2 is S2 and so on.

Assigning a value of 3 to S1, so the probabilities are:

Probability

S1 = 3 3/8

S2 = 1 1/8

S3 = 1 1/8

S4 = 1 1/8

S5 = 1 1/8

S6 = 1 1/8

total = 8

The combinations that the sum of the two rolls will be 4 are:

S1 and S3

S3 and S1

S2 and S2

So the total probability is:

P = (3/8) * (1/8) + (1/8) * (3/8) + (1/8) * (1/8)

P = 0.1094 = 10.94%

So there is about 0.1094 or 10.94% probability that the sum will be 4.

6 0

3 years ago

A diver is 18 feet below sea level. Another diver is 48 feet below sea level. What is the distance between the two divers?

jenyasd209 [6]

30 feet oooooooooooooooooo

6 0

3 years ago

Product formula.a) 2sin48° cos12°​ help me.....(step by step)

Product formula.a) 2sin48° cos12° help me.....(step by step)