1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
irina [24]
4 years ago
5

Rewrite the product as a sum or difference. 20cos(36t) cos(6t)

Mathematics
1 answer:
tiny-mole [99]4 years ago
8 0

The applicable identity is ...

... cos(a)cos(b) = (1/2)(cos(a+b) +cos(a-b))

Let a=36t, b=6t and substitute this into your expression. Then you have ...

... 20cos(36t)cos(6t) = 20·(1/2)(cos(36t+6t) + cos(36t-6t))

... = 10(cos(42t) + cos(30t))

... = 10cos(42t) +10cos(30t)

You might be interested in
All the constants of the expression 2+6a
olya-2409 [2.1K]
What do you mean? you need to add more
4 0
3 years ago
5. increase £101 by 16%
Svetlanka [38]
There is a very simple way of dealing with percentages.
"increase" means add
"decrease/discount/reduce" means subtract
Now, we know that the original price is 100%. 
100% = 1 (like 50% = 0.5)
So if an object's price is x and it is 20% off, we get:
100%x - 20%x
Taking x common,
x(100% - 20%)
= 0.8x
Therefore, if we fist add/subtract the percentages we can multiply directly with the original to get the answer. This is as follows:
5] Increase 101 by 16%
1 + 0.16 = 1.16
So the answer is:
101 * 1.16
= 117.16
6] Decrease 36 by 21%
1 - 0.21 = 0.79
The answer is:
36 * 0.79
= 28.44
7] Let original price be x, we know it is 35% off
1 - 0.35
= 0.65
0.65x = 13
x = 20
7 0
3 years ago
Akio buys scissors for $3.79, tape for $2.57, and pens for $5.80. The sales tax is 6.25%.
Ganezh [65]

Answer:

$0.76

Step-by-step explanation:

3.79+2.57+5.8=12.16

12.16 x 0.0625=0.76

To solve this, you have to add all the prices together and then convert the percentage into a number so that you can multiply it by the total sales. You end up with 0.76 cents as the taxes for Akio's Purchase.You convert the percentage by moving it backward 2 decimal places.

6 0
3 years ago
Read 2 more answers
The candles turn out great! So, the candle maker raises her normal price and sells 5 candles for $ 27 . She usually charges $14.
weqwewe [10]
She raised the price by $0.65

14.25 divided by 3 =
$4.75 ( normal price per candle)

27 divided by 5 =
$5.40 (new price per candle)

$5.40 - $4.75 = $0.65
7 0
3 years ago
A squere is a perimeter of 16.4 inches. what is the area
Stels [109]

Answer:

16.81

Step-by-step explanation:

P = 4a.

then the length of a side is 16.4 /4 = 4.1.

A = a * a = 4.1 * 4.1 = 16.81

6 0
2 years ago
Read 2 more answers
Other questions:
  • The height in meters of a football that is kicked from the ground is approximated by f(x)=-5x^2 +20x, where x is the time in sec
    11·2 answers
  • Ursula is buying markers in packs of 1010.
    6·1 answer
  • Which statement is true
    12·1 answer
  • What is 2. 84 repeating as a mixed number in simplest form
    6·1 answer
  • Which equation has only one solution?
    15·2 answers
  • one teacher want to give each student 4/5 of a slice of pizza, if the teacher has 4 slices of pizza, then how many students will
    8·1 answer
  • Is this correct on how to graphing the inequalities???
    8·2 answers
  • serenity wants to bake cookies each batch of cookies tajes 2 and 1/4 cuos flour if she wants to bake 5 batches of cookies hiw ma
    10·1 answer
  • A quarter is tossed. How many total number of outcomes are there? total number of outcomes
    7·2 answers
  • PLEASE HELP IM STUCK PLS
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!