given that sin(x+4)=cos(3x)find tan(x+40)to 4 s.f.​

Answers

Answer 1

Answer:

[tex]\tan(x + 40) = 1.842[/tex]

Step-by-step explanation:

Given

[tex]\sin(x + 4) = \cos(3x)[/tex]

Required

Find [tex]\tan(x + 40)[/tex]

In trigonometry

If [tex]\sin(A) = \cos(B)[/tex]

Then: [tex]A + B = 90[/tex]

So, we have:

[tex]\sin(x + 4) = \cos(3x)[/tex]

[tex]3x + x + 4 = 90[/tex]

[tex]4x + 4 = 90[/tex]

Collect like terms

[tex]4x =- 4 + 90[/tex]

[tex]4x =86[/tex]

Solve for x

[tex]x = 86/4[/tex]

[tex]x = 21.5[/tex]

So:

[tex]\tan(x + 40) = \tan(21.5+40)[/tex]

[tex]\tan(x + 40) = \tan(61.5)[/tex]

Using a calculator:

[tex]\tan(x + 40) = 1.842[/tex]


Related Questions

Doug is going on a 340-mile trip. If he drives for 5 hours at an average speed of 55 miles per hour, how many miles will he still have left to go on his trip?

Answers

65 mi


5•55=275
340-275=65

Four aliens were born in two year intervals. The sum of
their ages is 36. How old is each alien?
Show work

Answers

Answer:

6, 8, 10, and 12

Step-by-step explanation:

x + (x + 2) = (x + 4) + (x + 6) = 36

4x + 12 = 36

subtract 12 rom each side of the equation:

4x = 24

divide both sides by 4:

x = 6

x + 2 = 8

x + 4 + 10

x + 6 = 12

Pelaseee help me I’m stuck on thisss

Answers

Answer:

[tex]d = \sqrt{122} \: in[/tex]

Step-by-step explanation:

D^2 = x^2 + y^2 + z^2

= (9 in)^2 + (5 in)^2 + (4 in)^2

= 122 in^2

or

[tex]d = \sqrt{122} [/tex]

HELP ASAP!!!!!! please show work too! tysm!

Answers

Answer:

9/50

Step-by-step explanation:

18/100 they will both be divided by two 18 divided by two is 9 and 100 divided by two is 50.2 is the only number both can be divided by.

Answer:

Option A  9/25 is correct.

Step-by-step explanation:

so his data shows that the yellow balloon was chosen 18 times out of 50 so it is a 18/50.

now if we simplify that we get 9/25.

Have a nice day!

Lateena solved the equation below. Is her solution correct? Explain why or why not?

Answers

Answer:

No

Step-by-step explanation:

she should have just factored x² - 6x - 7 = 0

(x + 1)(x - 7) = 0

x = -1, x = 7

please help ASAP! i need this done!

Answers

Answer:

∠2   (∴ ∠3 is also correct)∠1∠1    (∴ ∠4 is also correct)

Step-by-step explanation:

1) Both the angles ∠2 & ∠3 form a linear pair with ∠1. Also, angles of a linear pair are supplementary to each other. So, both ∠2 & ∠3 are supplementary to ∠1. (Write any one)

2) ∠1 is located vertically opposite to ∠4. So, ∠1 & ∠4 are vertical angles.

3) Both the angles ∠1 & ∠4 share a common vertex & common side with ∠3. So, both ∠1 & ∠4 are adjacent to ∠3. (Write any one)

Alguien sabe este trabajo es para hoy :’(

Answers

I would be able to help but I need it to be in English

no psss ya valio madres

12 m Fence 17 m 20 m one can of weedkiller can cover 100 square metres. eachh can costs $19.75 work out the total cost of the cans of weedkiller needed to cover the lawn.

Answers

Answer:

Total amount needed is: $59.25

Step-by-step explanation:

Given

See attachment for fence

Required

Cost of weedkiller needed

First, we need to calculate the height of the fence.

Considering the triangular end of the fence, we have:

[tex]17 ^ 2 = h ^ 2 + 8 ^ 2[/tex] --- Pythagoras theorem

[tex]289 = h^2 + 64[/tex]

Collect like terms

[tex]h ^ 2 = 289 - 64[/tex]

[tex]h ^ 2 = 225[/tex]

Take positive square root of both sides

[tex]h = \sqrt{225[/tex]

[tex]h = 15[/tex]

Next, calculate the area of the fence (trapezium).

This is calculated as:

[tex]Area = \frac{1}{2}(a + b) * h[/tex]

Where:

[tex]a = 12[/tex]

[tex]b = 20 + 8 = 28[/tex]

So, we have:

[tex]Area = \frac{1}{2}(12 + 28) * 15[/tex]

[tex]Area = \frac{1}{2}(40) * 15[/tex]

[tex]Area = 20 * 15[/tex]

[tex]Area = 300m^2[/tex]

From the question, we have:

[tex]\$19.75 = 100m^2[/tex]

Let x = the cost required for the complete area

i.e.

[tex]x = 300m^2[/tex]

So, we have:

[tex]\$19.75 = 100m^2[/tex]

[tex]x = 300m^2[/tex]

Cross multiply

[tex]x * 100m^2 = \$19.75 * 300m^2[/tex]

Divide both sides by [tex]100m^2[/tex]

[tex]\frac{x * 100m^2}{100m^2} = \frac{\$19.75 * 300m^2}{100m^2}[/tex]

[tex]x = \frac{\$19.75 * 300m^2}{100m^2}[/tex]

[tex]x = \$19.75 * 3[/tex]

[tex]x = \$59.25[/tex]

A red, green, and blue book are on a shelf. You randomly pick one of the books. Without replacing the first book, you choose another book. What is the probability that you picked the red and blue book?

Answers

Answer: The probablity is 1/3 I think :)

Step-by-step explanation:

Write an expression for the perimeter of each regtangle in terms of its width?​

Answers

Answer:

a (the length is twice the width)

Step-by-step explanation:

a(the length is twice the width)

can you guys help me?? I’m still learning this topic and I can’t do it

Answers

Answer:

15

Step-by-step explanation:

Because the first house is 5 toothpicks and the rest are all 4 toothpicks

14*4=56 (the amount of the houses that are 4 toothpicks)

56+5=61 (The house that is 5 toothpicks)

I need to solve these two equations using either substitution or elimination
1/4x - 1/2 = 5
3x + 2/3y = -40

Answers

Answer:

y = -15

x = -10

Step-by-step explanation:

1/4x - 1/2 = 5 (1)

3x + 2/3y = -40 (2)

Multiply (1) by 4

1/4x - 1/2 = 5

1/4x * 4 - 1/2y * 4 = 5 * 4

4/4x - 4/2y = 20

x - 2y = 20 (3)

Multiply (2) by 3

3x + 2/3y = -40 (2)

3x * 3 + 2/3y * 3 = -40 * 3

9x + 6/3y = -120

9x + 2y = -120 (4)

x - 2y = 20 (3)

9x + 2y = -120 (4)

Using elimination method, Add (3) and (4)

9x + x = -120 + 20

10x = -100

x = -100/10

x = -10

Substitute x = -10 into (3)

x - 2y = 20 (3)

-10 - 2y = 20

-2y = 20 + 10

-2y = 30

y = 30/-2

y = -15

y = -15

x = -10

7th grade math unit 5 class review#1 equations and inequalities

Answers

What’s the question??

24 hours in a day
60 seconds in a min
60 mins in a hour
7 days in a week

Question: How many seconds in 3 days?

Answers

Answer:

259200 seconds

How: 60×60×24 = 86400

That is for one full day, so multiply that by 3

Answer: 259200

Stephan has a piece of wood that measures 18 inches long and 12 inches wide. He wants to make a tray with sides 2 inches high. Maurice says that he can make a tray that has a base measuring 10 1/2 inches by 10 1/2 inches. Is he correct?

Answers

Answer:

he isn't

Step-by-step explanation:

The wood has dimensions of 18 x 12

If He wants the tray to have a height of 2, subtract 2 x 2 from both the length and the width

18 - 4 = 14

12 - 4 = 8

the highest possible dimensions of the tray can be 14 x 8

10 1/2 x 10 1/2 is greater than 14 x 8. so he is not correct

HELP ASAAAPPPPPPP PLEASEEEEE

Answers

Answer:

I say it is A.

Step-by-step explanation:

It is the one that makes the most sense.

Hope this helps.

Sean bought a laptop and a printer. He sold both items for £1,500 getting £1,350 just for the laptop. Sean made a 24% profit on the cost of the printer. What was the cost of the printer? Give your answer to 2 decimal places.

Answers

Answer:

36

Step-by-step explanation:

Sean purchased a printer and laptop

He sold both for 1,500

He sold the laptop at 1,350

Therefore the cost of the printer can be calculated as follows

1500-1350

= 150

24/100×150

= 0.24×150

= 36

Henve the cost of the printer is £36

Find the surface area of the figure.
11.1 m
3.5 m
4 m
4 m
4 m

Answers

Answer and Step-by-step explanation:

Work is in picture.

#teamtrees #PAW (Plant And Water)

If x and y vary inversely and x = 5 when y = -3.5, what is the value of x when y = 10?

Answers

Answer:

Step-by-step explanation:

k = xy

Putting values of x and y in the equation

k = (5)(-3.5)

= - 17.5

Finding value of x when y = 10

k = xy

- 17.5 = x10

Bringing like terms on one side

- 17.5 - 10 = x

-27.5 = x

Please help. I literally don't even know what this is!!

Answers

Answer:

try dividing or multiplying the information their giving you?

PLZ HELP URGENT PLEASE
If f(x)=2x+5 and g(x)= 2x-3, find (f+g)(x). Please don't add any space between characters in your answer. For example: -6x+5

Answers

Answer should be 4x+2

How does theoretical probability of the event flip heads change when a coin is flipped more times in a experiment

Answers

Answer:

The theoretical probability will not change.

Step-by-step explanation:

The theoretical probability will always be based on logic. If a fair coin has a head and tail, then it’s an even 50/50 chance of the coin landing on either side. If the coin is flipped more than once, the theoretical probability will stay the same.

The theoretical probability of the event flip heads does not change when a coin is flipped more times in a experiment.

What is theoretical probability?

Theoretical probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.

As the probability of an event can not be more than the number 1. Thus he probability of failure of a event is equal to the difference of the 1 to the success of the event.

The binomial experiment is the experiment in which the total number of output values is 2, therefore it is known as binomial experiments.

The number of independence variable in case of binomial experiments is fixed. Both the two output has the 1/2 chances to occur.

The theoretical probability, of an event is always remain same. It does not depends on the number of experiments or trial.

For the experiment of flipping a coin, there would only be two outcomes either a head or a tail. The theoretical probability to occur head will be 1/2 or 50 percent. This will be similar for the tail face.

Hence, the theoretical probability of the event flip heads does not change when a coin is flipped more times in a experiment.

Learn more about the probability here;

https://brainly.com/question/24756209

Abigail and Grace collected clovers. Abigail collected clovers with
4 leafs and Grace collected clovers with 5 leafs. They counted the
number of leafs in both collections and realized that it is the
same. What is the least number of leafs that each collection must
have?

Answers

Answer:

20

Step-by-step explanation:

To find the least number of leafs that each collection must have, we find the L.C.M of both numbers. So L.C.M of 4 and 5.

The prime factors of 4 = 2²

The prime factors of 5 = 5

So L.C.M of 4 and 5 = 2² × 5 = 20

So, the least number of leafs that each collection can have is 20 leafs.

Which expression is equivalent to 3\tfrac{1}{3}-8\tfrac{2}{3}3
3
1

−8
3
2

?

Answers

Answer:

and yeah ikr I don't understand why

The ratio of boys to girls in a volleyball club was 6: 8. There were 36 boys.

How many girls were there in the club?

Answers

Answer:

Might be wrong but 27. Hope this helps

Answer:

48 girls!

Step-by-step explanation:

boys = 6x

girls = 8x

6x = 36

x = 36/6 = 6

girls = 8x = 8 x 6 =  48

I hope im right!

10 points. . .. this is for my brother they have changed stuff so much from when i was in 6th

Answers

Answer: 1.885 miles

Step-by-step explanation:

Given: One lap around a park = 0.58 mile

The number of laps walked by Jessica= 3.25

Then, in miles , the distance walked around the park by Jessica will be (Multiply the number of laps to the value of one lap in miles) :

Hence,  Jessica walked 1.885 miles around the park.

Answer:

im a dad, and i have the best woman in the world, best wife and mother to are boy

Step-by-step explanation:

Solve the equation!bhurrypls

Answers

multiply sides by 4

k = 24

Answer:

k = 24

Step-by-step explanation:

k/4 = 6

k is being divided by 4, so multiply both sides by 4.

k/4 * 4 = 6 * 4

k = 24

A lawn sprinkler is set in the corner of the backyard. Thomas has the sprinkler set to rotate at 90 degrees. He knows that the sprinkler will spray 30 feet. If his backyard is 850 square feet, does Thomas have the sprinkler set to reach most of his yard? Explain your reasoning and any suggestions you might have for Thomas if you find he does not have the sprinkler set properly.

Answers

Answer:

yes I think he does because of the distance of the sprinklers reach.

Find the Volume of a cylinder with a diameter of 16 inches and a height of 9 inches

Answers

Answer:

d = 16 in    then   r = 8 in

V = h * π * r²

V= 9in * π * (8 in)²

V = 1809.55 in³

Answer:

It's D

Step-by-step explanation:

Hello, I need help! The question is "Today you will look over the following problem that Nancy worked and explain what she did incorrectly and why it does not work. Then tell me what information Nancy would need to know in order to use this theorem correctly"

Answers

Answer:

Step-by-step explanation:

Remark

The ratios are certainly correct but that doesn't mean that they show similarity. SSA is a very dangerous proposition to use. Redraw triangle DEF of that DF is going to upwards to your right hand side. Make E as it was before. Why isn't this right?

It isn't right because E has gone from being an acute angle to an obtuse angle (an angle larger than 90 but less than 180).

The ratios are still true, but the angles do not match. So the whole answer is incorrect.

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