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
If anyone can answer these, i will love you forever ​
babunello [35]

Answer:

1. x+4, x+3, x+1 - all 3 sides

x+4 + x+3 + x+1 = 17

3x + 8 = 17

3x = 17 - 8

3x = 9

x = 3

Side BC = x + 3 = 3 + 3 = 6 in

Side CD = x + 4 = 3 + 4 = 7 in

Side AB = x + 1 = 3 + 1 = 4 in

2. Side BS = x, side SY = 4 + x,side BY=x+2

BS + SY + BY = 21ft

x + 4 + x + x + 2 = 21

3x +6 = 21

3x = 21- 6

3x = 15

x = 5

Side bs = 5ft

Side sy = 9ft

Side by = 7ft

3. x +5+x - 1 + x +8 = 36 yd

3x + 12 = 36 yd

3x = 36-12

3x = 24yd

x = 8 yd

PQ = 16yd

Qr = 7 yd

Pr = 13 yd

4. This also should be done in the same method as above

I hope I helped u

4 0
3 years ago
Read 2 more answers
Which is the better buy
9966 [12]
6 with 2 refills seems like a better buy to me
6 0
3 years ago
Solve the inequalities <br>1. t-7&lt;-15<br>2. b+12&lt;18
iren2701 [21]
Inequalities are just like equations it's just that the sign flips anytime you multipliy or divide by a negative number

1.
t - 7 <  - 15
First Add 7 to both sides
t +  (-7 + 7)<  ( - 15 + 7) \\ t <  - 8
2.
b + 12 < 18
First Subtract 12 From Both Sides
b + (12 - 12) < (18 - 12) \\ b  < 6

6 0
3 years ago
In a recent international sport competition, the top 3 countries— Country A, Country B, and Country C— won a total of 134 medals
vlada-n [284]

Answer:

Country A = 85, Country B = 29, Country C = 20

Step-by-step explanation:

A+B+C=134 ----- eq(1)

B=C+9 ------------ eq(2)

A=36+B+C ------ eq(3)

By substituting eq(2) in eq(3), we get:

A=36+C+9+C

A=2C+45 ------- eq(4)

Now substituting eq(2) & eq(4) in eq(1), we get

2C+45+C+9+C=134

4C+54=134

4C=134-54

4C=80

C=20

Now putting the value of C in eq(2),

B=20+9

B=29

Substituting the value of B & C in eq(1), we get:

A+29+20=134

A+49=134

A=134-49

A=85

6 0
3 years ago
Researchers conducted an experiment to test the effects of alcohol. Errors were recorded in a test of visual and motor skills fo
Jobisdone [24]

Answer:

H0: σ1=σ2

Ha : σ1 >σ2

B. Upper H 0H0​:

sigma Subscript 1 Superscript 2σ21equals=sigma Subscript 2 Superscript 2σ22

Upper H 1H1​:

sigma Subscript 1 Superscript 2σ21greater than>sigma Subscript 2 Superscript 2σ22

Step-by-step explanation:

The claim is  that the treatment group has errors that <em><u>vary significantly</u></em> more than the errors of the placebo group.

The claim is the alternative hypothesis and the opposite of claim is the null hypothesis.

Vary significantly means that it is greater than so we choose the alternate hypothesis of greater than and the null hypothesis will be equal to errors of the placebo group.

So the correct choice is B.

B. Upper H 0H0​:

sigma Subscript 1 Superscript 2σ21equals=sigma Subscript 2 Superscript 2σ22

Upper H 1H1​:

sigma Subscript 1 Superscript 2σ21greater than>sigma Subscript 2 Superscript 2σ22

Choice A,C and D all are incorrect.

This can be written as

H0: σ1=σ2

Ha : σ1 >σ2

5 0
3 years ago
Other questions:
  • Are these triangles congruent?
    15·1 answer
  • On a number line, a number, b, is located the same distance from 0 as another number, a, but in the opposite direction. The numb
    15·1 answer
  • Please Help With This Question 3 x 3
    7·2 answers
  • Find the unknown side length, x. Write your answer in simplest radical form.
    14·2 answers
  • How do I do this one and what are the answers, please and thank youu!
    5·1 answer
  • Solve for x<br><br> X-8 = -10<br><br> A) X = 2<br> B) X = -2<br> C) X = 18<br> D) X = -18
    15·2 answers
  • JUST READ THE ATTACHMENT
    10·2 answers
  • PLz Help <br> dddddddddddddddddddddddddddddddddddddddddddddddddddddd
    10·1 answer
  • Mike's Bakery makes brownies that cost $.80 each. 15 percent of the crownies will spoil and thus are not salable. Mike wants a 3
    6·2 answers
  • Solve the following....<br> <img src="https://tex.z-dn.net/?f=5x%2B3y%3D7%5C%5C3x-5y%3D-23" id="TexFormula1" title="5x+3y=7\\3x-
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!