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Ilia_Sergeevich [38]
3 years ago
7

Explain how the sum and difference formula cos(A+/- B) = cosA cosB -/+ sinA sinB could be useful?

Mathematics
2 answers:
Nadya [2.5K]3 years ago
7 0
You could find the exact value of cos of 15 degrees   by  using cos(45 - 30):-

cos(45 - 30) = cos 45cos30 + sin45 sin30  = 1 /sqrt2 * sqrt3/2 +  1/sqrt2* 1/2 
serg [7]3 years ago
6 0
One way it's useful is in the application of phasors in physics. Phasors require you to add up vectors of two different angles, so the cosine angle addition formula can be used if you already know the cosine and sine of the original vector angles.
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Emily needs to buy 2.5 pounds of pecans for a pie.If pecans cost 1.50 per pound how much will Emily pay for pecans?
AleksandrR [38]

Answer:

3.50

Step-by-step explanation:

1.50 x 2 = 3 And their is .50 left so half of 1 pound is .50 which is 3+50=3.50

If this helped please make me brainliest :)

7 0
3 years ago
A person invested $6,000, some at 7% and the rest at 5%. The income from the 7% investment is equal to the income from the 5% in
8090 [49]

Answer:

The person invested $3500 at 7% and $2500 at 5%

Step-by-step explanation:

We can say that 0,07x+0,05x=6000 because the investment is equal both in one as in another, where x is the income from the investment.

Solving the equation we have:

0,12x=6000\\x=50000

Then to get the incomes:

At 7%: I=0.07*50000\\I=$3500

And at 5%: I=0.05*50000\\I=$2500

Finally we can demonstrate the answer because the  income at 7% + income at 5% are 3500+2500=$6000

6 0
3 years ago
4. A bag contains five red marbles, two orange marbles, one yellow marble, and two green marbles. Two marbles are drawn from the
Vitek1552 [10]

Answer:

  • C. 0.08889

Step-by-step explanation:

<u>Total number of marbles:</u>

  • 5 + 2 + 1 + 2 = 10

<u>There are two possibilities</u>

  • Orange then green or green the orange

<u>The probabilities are:</u>

  • P(o&g) = 2/10*2/9 = 2/45
  • P(g&o) =2/10*2/9 = 2/45

<u>Required probability is:</u>

  • P = 2/45*2 = 4/45 =  0.08889

Correct choice is C

4 0
2 years ago
ella drew a rectangle that was 3 units wide and 4 units long. Draw a different rectangle that has the same perimeter but a diffe
RUDIKE [14]
First we can find the perimeter of the given rectangle

P=2L+2W (L=length and W=width)
P=2*3+2*4
P=6+8
P=14

So now we want to come up with a different combination of numbers that would give up a perimeter of 14. We know that 14 is divisible by 2 so let's make out width 2. If we plug in 2 as the width and 14 as the perimeters, we can solve for length

14=2L+2*2
14=2L+4 
10=2L (subtract 4 from both sides)
L=5

So the dimensions are 5 units and 2 units

Hope this helps!
5 0
3 years ago
What is the input value for the following function if the output value is 5?
Minchanka [31]
The answer is 25, leave a like (:
4 0
3 years ago
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