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
Ratling [72]
2 years ago
11

(cos2a *cos 4a+ sin 2a*sin 4a)/sin4a

Mathematics
1 answer:
lyudmila [28]2 years ago
4 0

Answer:

Step-by-step explanation:

(cos 4a*cos 2a+sin 4a*sin 2a)/sin 4a

=[cos (4a-2a)]/sin 4a

=(cos 2a)/sin 4a

=(cos 2a) /(2 sin 2a cos 2a)

=1/(2 sin 2a)

=1/2 csc 2a

You might be interested in
If (3a + 3b + 1) (3a + 3b - 1) = 80, then a + b =
seropon [69]

Answer:

a+b = 4\sqrt{3}

Step-by-step explanation:

3(a + b)^2 = 81

(a + b)^2 = 27

a + b = sq rt 27

a + b = \sqrt{9}· \sqrt{3}

a + b = 3\sqrt{3}

8 0
3 years ago
A red balloon starts at 7.3 meters off the ground and rises at 2.6 meters per second. A blue balloon starts at 12.4 meters off t
nexus9112 [7]
This problem is an example of solving equations with variables on both sides. To solve, we must first set up an equation for both the red balloon and the blue balloon. 

Since the red balloon rises at 2.6 meters per second, we can represent this part of the equation as 2.6s. The balloon is already 7.3 meters off of the ground, so we just add the 7.3 to the 2.6s: 

2.6s + 7.3

Since the blue balloon rises at 1.5 meters per second, we can represent this part of the equation as 1.5s. The balloon is already 12.4 meters off of the ground, so we just add the 12.4 to the 1.5:

1.5s + 12.4

To determine when both balloons are at the same height, we set the two equations equal to each other: 

2.6s + 7.3 = 1.5s + 12.4

Then, we solve for s. First, the variables must be on the same side of the equation. We can do this by subtracting 1.5s from both sides of the equation: 

1.1s + 7.3 = 12.4

Next, we must get s by itself. We work towards this by subtracting 7.3 from both sides of the equation: 

1.1s = 5.1

Last, we divide both sides by 1.1. So s = 4.63. 

This means that it will take 4.63 seconds for both balloons to reach the same height. If we want to know what height that is, we simply plug the 4.63 back into each equation: 

2.6s + 7.3
= 2.6 (4.63) + 7.3
= 19.33

1.5s + 12.4
= 1.5 (4.63) + 12.4
= 19.33

After 4.63 seconds, the balloons will have reached the same height: 19.33 meters.
6 0
3 years ago
the circumference of a circle is 11.4mm. find the length of the diameter. give your answer rounded to 3SF.
kvasek [131]

Answer:

3.627 = d

Step-by-step explanation:

C = 11.4mm

d = ?

C = πd

11.4 = 22/7 × d

cross multiply

11.4 ×7 = 22d

79.8 = 22d

Divide both sides of the equation b 22

79.8/22 = 22d/22

3.627 = d

4 0
3 years ago
Suppose the population of a town is 127,000 in 2014. The population increases at a rate of 5.2 percent every year. What will the
Dmitry [639]

Answer:

172,146

Step-by-step explanation:

you can use the exponential growth formula and get y=127000(1.052)^6. after that, you can just solve (make sure you use PEMDAS) and get 172,146.

8 0
3 years ago
The sum of two numbers is 19 and there difference is 7 what are the two numbers
Zielflug [23.3K]

Answer:

The two numbers are 13 and 6.

Step-by-step explanation:

x+y=19

x-y=7

-----------

2x=26

x=26/2

x=13

13+y=19

y=19-13

y=6

x=13, y=6.

5 0
3 years ago
Read 2 more answers
Other questions:
  • The graph of the function f(x) = (x + 2)(x + 6) is shown below. Which statement about the function is true? The function is posi
    10·1 answer
  • If a car factory checks 320 cars and 12 of them have defects, how many out of 560 will have defects? Use proportions
    12·1 answer
  • Find N' after N(2, 3) was reflected over the line y = x + 2.
    13·1 answer
  • Which step could be used to help isolate the variable in the following equation
    15·2 answers
  • Honey's blueberry muffin recipe calls for 3 1/4 pounds of blueberries and 2 1/2 cups of muffin mix. How many cups of muffin mix
    13·1 answer
  • Leo deposited $2494.05 in an account that earned 2.5% interest compounded weekly for 13 years. After 13 years, how much had Leo
    8·1 answer
  • For what period of time during the dive is the diver's center of mass higher than the diving board, which is 6 feet above the wa
    5·1 answer
  • PLEASE HELP BRAINLIEST!!!!
    9·2 answers
  • During the first month on sale, the school store sold 186 shirts for $6.50 each. How much profit did the school make on these sh
    9·1 answer
  • Please help this is for my test
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!