Review important identitie
cosx cosy = 1/2 [cos(x+y) + cos(x−y)]

Answers

Answer 1
Answer: cos(x+y) = cosxcosy - sinxsiny;
cos(x-y) = cosxcosy + sinxsiny;
..................................................
=> cos(x+y) + cos(x-y) = 2cosxcosy =>cosx cosy = 1/2 [cos(x+y) + cos(x−y)];
Answer 2
Answer: cosxcosy=(1)/(2)\left[cos(x+y)+cos(x-y)\right]\n\nR=(1)/(2)\left(cosxcosy-sinxsiny+cosxcosy-sinxsiny\right)\n\n=(1)/(2)\cdot2cosxcosy=cosxcosy=L\n\nR=L

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How do you work out 77 divided by 1.54

Answers

77 divided by 1.54

77 ÷ 1.54

1.54 I 77

Get rid of the decimals (to make it easier to divide)

1.54 × 100 = 154
77 × 100 = 7700
         0050
154 I 7700
        -0
         77
        -00
         770       ( 154 × 5 = 770, there are five 154's in 770)
        -770
         0000

1.54 × 50 = 77

(answer with "sometimes, always, or never true")
A negative integer is a whole number.

Answers

Answer:

A negative integer is a whole number

NEVER TRUE

Integers run from 0 on up

No decimals

No fractions

Step-by-step explanation:

Always an integer is a whole number :)

What is the sum of the exterior angle measures for a regular pentagon?

Answers

360 that would be I think

Answer:

360

Step-by-step explanation:

deltamath

What’s the explicit equation for 100, 80, 60, 40

Answers

Answer:

20

Step-by-step explanation:

To find the explicit equation for an arithmetic sequence, we can use the formula:

a_n = a_1 + d(n - 1)

where a_n is the n-th term of the sequence, a_1 is the first term of the sequence, and d is the common difference. Plugging in the values for this sequence, we get:

a_n = 100 + (-20)(n - 1)

Simplifying, we get:

a_n = 120 - 20n

This is the explicit equation for the sequence 100, 80, 60, 40, … You can use this equation to find any term of the sequence by plugging in the value of n. For example, to find the fifth term of the sequence, you can plug in n = 5 and get:

a_5 = 120 - 20(5) = 120 - 100 = 20

A map uses a scale of 2 cm = 50 kilometers. On the map, two cities are 9 cm apart, how far apart are they in real life?

Answers

Answer:

they are in 225kilometers apart.

hope it helps.

He table shows how the random number range is assigned to each event. If the following random numbers were assigned, predict the number of Chocolate Chip cookies purchased.

Random numbers: 3, 27, 43, 85, 83

Answers

Answer:

option 2nd is correct that is 2.

Step-by-step explanation:

We have been given the random number range assigned to each event  

And from the given table we can see that the assigned number range of chocolate chip  cookies  is 0-40

So, we will  consider numbers in this range 0-40 from the given random numbers which are 3,27,43,85,83.

So, 3 and 27 will come under the range 0-40

Therefore, only 2 chocolate chip cookies purchased

Therefore, option 2nd is correct that is 2.

Answer:

2

Step-by-step explanation: