given that cosec A= -2, sec B= -2, A and B lie in the same quadrant. Find sin (2A+2B)

help me please,​

Answers

Answer 1

Answer:

sin (2A+2B) = 0

Step-by-step explanation:

Given that,

cosec A= -2 and sec B= -2, A and B lie in the same quadrant.

We need to find the value of sin (2A+2B).

[tex]A=cosec^{-1}(-2)\\\\=-30[/tex]

And

[tex]B=\sec^{-1}(-2)\\\\=120^{\circ}[/tex]

To find the value of sin (2A+2B) as follows :

sin [2(-30)+2(120)] = sin (-60+240)

=sin (180)

= 0

So, the value of sin (2A+2B) is qual to 0.


Related Questions

A 115​-inch is cut into two pieces. One piece is four times the length of the other. Find the lengths of the two pieces.

Answers

Answer:

Shorter piece: 23 inches

Longer piece: 92 inches.

Step-by-step explanation:

Since the longer piece is four times the length of the other, we multiply 23*4 and we get 92 inches.

Is (2, 10) a solution to this system of inequalities? y 7 X 1 y > 4x + 2​

Answers

yes it is, 700 is greater than 10.

What is the answer to 5256÷52

Answers

Answer: 5256 / 52 =  101 R4

Write the function as a sum of partial fractions. Do not determine the numerical values of the coefficients.(a) x/x^2+xâ2(b) 6âx/x^2â3xâ54

Answers

The correct equations in the question are:

(a) [tex]\dfrac{x}{x^2+x-2}[/tex]   (b) [tex]\dfrac{6-x}{x^2-3x-54}[/tex]

Answer:

Step-by-step explanation:

From above:

a) [tex]\dfrac{x}{x^2+x-2}[/tex]  

We are to find the roots of the quadratic equation at the denominator.

i.e.

x²+x-2 =  x² + 2x - x - 2

= x(x+2) - 1(x+2)

= (x -1 ) (x + 2)

Thus;

[tex]\mathbf{\dfrac{x}{x^2+x-2} = \dfrac{A}{x-1} + \dfrac{B}{x+2}}[/tex]

b) [tex]\dfrac{6-x}{x^2-3x-54}[/tex]

The quadratic equation roots can be calculated by finding two numbers that if we multiply then, we will get -54 and if we add or subtract them, we will get -3

x²-3x -54 =  x² - 9x +6x - 54

=  x(x-9) + 6(x-9)

= (x + 6) (x - 9)

[tex]\mathbf{\dfrac{6-x}{x^2-3x-54} = \dfrac{A}{x+6} + \dfrac{B}{x-9}}[/tex]

PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE ANSWERRRRRRRRRRRRRRRRRRRR FASTTTTTTTTTTTTTTTTTT WILL GIVE BRAINLIST. PLEASEEEEEEEEEEEE

Answers

A)
The difference between these two is that one is miles and one is min. And if you look closely you can see as every mile goes its equal to 7 so the equation would be 7min=1 mi

B)
The rate of change would be 7 so as you see 1x7 is 7, 3x7 is 21, and 5x7 is 35 so each mile equals 7 minutes.

C)
If Mario ran for 70 minutes he would’ve ran for 7 miles because 7x10 is 70

I really hope this helps and have a good one. By any chance do you think you could give me BRAINLIEST


Which of the following could be the perimeters of the three squares below?
A 12ft, 16 ft and 20 ft
B 20 ft, 16 ft and 24 ft
C) 40 ft, 80 ft and 120 ft
D 16 ft, 24 ft and 28 ft

Answers

Answer:

Option (A)

Step-by-step explanation:

Option (A).

Since, perimeter of a square = 4×(side)

Perimeters of 3 squares = 12 ft, 16 ft and 20 ft

Side lengths of three squares will be = [tex]\frac{12}{4}, \frac{16}{4},\frac{20}{4}[/tex]

                                                             = 3 ft, 4 ft and 5 ft

If these sides are the measures of the sides of the given right triangle,

(Hypotenuse)² = (leg 1)² + (leg 2)²

5² = 4² + 3²

25 = 16 + 9

25 = 25

True.

Therefore, these are the sides of the given right triangle.

Option (B).

Perimeters of three squares are 20 ft, 16 ft and 24 ft.

Sides lengths of three squares = [tex]\frac{20}{4},\frac{16}{4}, \frac{24}{4}[/tex]

                                                    = 5 ft, 4 ft and 6 ft

By Pythagoras theorem,

6² = 4² + 5²

36 = 61

False.

Therefore, these sides are not of the given right triangle.

Option (C)

Perimeters of the squares = 40 ft, 80 ft and 120 ft

Side lengths of the squares = 10 ft, 20 ft and 30 ft

If these sides are the sides of the given right triangle, they will follow the Pythagoras theorem.

By Pythagoras theorem,

(30)² = (10)² + (20)²

900 = 500

False.

Option (D)

Perimeters of the given squares are 16 ft, 24 ft and 28 ft.

Side lengths of these squares will be 4 ft, 6 ft and 7 ft.

If these sides form a right triangle they will follow the Pythagoras theorem.

By Pythagoras theorem,

7² = 4² + 6²

49 = 16 + 36

49 = 52

False.

Therefore, these are not the sides of a right triangle.

Option (A) will be the answer.

juanito has a rope 1.75 meters long. He needs to cut it into shorter ropes each 0.1 meter long​

Answers

Answer:

17.5

Step-by-step explanation:

[tex]1.75 \div 0.1 = 17.5[/tex]

As the standard deviation of outcomes for Martin Products increases, investing in Martin Products becomes riskier because:__________a. the range of outcomes having some probability becomes widerb. an outcome at or near the expected return of 10% becomes less likelyc. although the chances of some big gains increase, the chances for some big losses also increase.d. all of the above reasonse. none of the above reasons

Answers

Answer:

c. although the chances of some big gains increase, the chances for some big losses also increase.

Step-by-step explanation:

In the Martin Products, there is a probability that the investment could either succeed or fail. The standard deviation of the outcome carried out to determine the risks involved in investing in his products helps in trying to offer the investors the clearer picture of the risks involved.

Answer:

d. all the reasons above

WILL GIVE BRAINLIEST TO WHOEVER IS RIGHT ​

Answers

Answer:

lies  you wont give brainliest

Step-by-step explanation:

25) (1,-5) parallel to y = - 10x - 3

Answers

Hope it helps :))
Here is the working

ILL GIVE BRAINLIEST!!! The average of x+6, 6x+2, and 2x+7 is 4x-7. What is x?

Answers

Answer:

yStep-by-step explanation:

Pls solve 30 points math

Answers

Answer:

(6,0)

Step-by-step explanation:

 

An internet site sells 75 feature type cell phones. The ratio of the number of smartphones to the number of feature phones is 3:5. How many cell phones are smart phones?

Answers

There are 45 smart phones

(3x+5)+(2x+3)
Please show steps

Answers

Answer:

first you do the mutpiton in the first perentes then you do addition

Step-by-step explanation:

3x + (5+3) + 2x
3x + 8 + 2x

(3x+2x) + 8
5x + 8

Your answer is 5x + 8

Combine like terms: 4 - 3m - 1 + 2m

Answers

Answer:

-m+3

Step-by-step explanation:

4 - 3m - 1 + 2m

4-1-m

-m+3

2. Melissa estimated that she would read 250 pages
last week. She read 290 pages. What is the
percent error of Melissa's estimate? Round to
the nearest whole percent.
I will give brainliest!!!

Answers

Answer:

Is it 11.6%?

Step-by-step explanation:

I divided 290/250

Birth weights at a local hospital have a Normal distribution, with a mean of 110 oz and a standard deviation of 15 oz. The proportion of infants with birth weights below 125 oz is:

A. .500

B. .159

C. .341

D. .841

Answers

Answer:

125 is 1 dev above, so it's  13.5 + 2.35,so it's B. 0.159And i think the proportion of infants with birthweights between 125 oz and 140 oz is :D. 0.136

how many 1/4 cup servings are there in 3/8 cup peanut butter?

Answers

Answer:

1.5

Step-by-step explanation:

Answer:

1.5 i think

Step-by-step explanation:

1/4:2/8 so it would be 1/4 and 1/8 or 1.5

DUE IN 10 MINUTES!!!!!!!!!!!!!!!!!!!!!!!!!!

What is the slope?

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answers

Should be 1/4 I think

Answer:

1/4

Step-by-step explanation:

Write the Point Slope Form of the line of slope 5 and passing through the point (1, -1)​

Answers

Answer: y+1 = 5(x-1)

Step-by-step explanation:

Does the graph represent a function? Why or why not?
10-
-10
10
-10-
O A. No, because it fails the vertical line test.
B. No, because it fails the horizontal line test.
O C. Yes, because it passes the vertical line test.
O D. Yes, because it passes the horizontal line test.

Answers

Answer:

no because it fails the vertical line test

Yes because it passes the vertical line test

Please help me solve this! If you could solve my other questions that haven't been solved that would be great!

Answers

Answer:

The simplest form of the complex fraction [tex]\frac{\frac{8}{9}}{8}[/tex] is  [tex]\frac{1}{9}[/tex]

Step-by-step explanation:

In the complex fractions [tex]\frac{\frac{a}{b}}{c}[/tex] = [tex]\frac{a}{b}[/tex] ÷ c

To simplify it change ÷ to × and reciprocal c

[tex]\frac{\frac{a}{b}}{c}[/tex] = [tex]\frac{a}{b}[/tex] ÷ c = [tex]\frac{a}{b}[/tex] × [tex]\frac{1}{c}[/tex] = [tex]\frac{a}{bc}[/tex]

In the complex fractions [tex]\frac{a}{\frac{b}{c}}[/tex] = a ÷ [tex]\frac{b}{c}[/tex]

To simplify it change ÷ to × and reciprocal [tex]\frac{b}{c}[/tex]

[tex]\frac{a}{\frac{b}{c}}[/tex] = a ÷ [tex]\frac{b}{c}[/tex] = a × [tex]\frac{c}{b}[/tex] = [tex]\frac{ac}{b}[/tex]

Let us solve the question

∵ The complex fraction is [tex]\frac{\frac{8}{9}}{8}[/tex]

∵  [tex]\frac{\frac{8}{9}}{8}[/tex] = [tex]\frac{8}{9}[/tex] ÷ 8

→ Change ÷ to × and reciprocal 8

∴  [tex]\frac{8}{9}[/tex] ÷ 8 =  [tex]\frac{8}{9}[/tex] × [tex]\frac{1}{8}[/tex]

→ Cancel 8 up with 8 down

∴  [tex]\frac{8}{9}[/tex] × [tex]\frac{1}{8}[/tex] = [tex]\frac{1}{9}[/tex]

The simplest form of the complex fraction [tex]\frac{\frac{8}{9}}{8}[/tex] is  [tex]\frac{1}{9}[/tex]

Answer:

1

Step-by-step explanation:

In the fraction 8/9, 8 is the numerator and 9 is the denominator. When you ask "What is 8/9 simplified?", we assume you want to know how to simplify the numerator and denominator to their smallest values, while still keeping the same value of the fraction. We do this by first finding the greatest common factor of 8 and 9, which is 1.

Finding the area, any help?​

Answers

Answer:

Volume: x^6

Area: 6x^4

Step-by-step explanation:

volume: length x width x height

area: 6 sides of x^4 so 6x^4

24 is the answer because you multiply areas

Which algebraic expression represents “Sarah has fives times as much homework today as yesterday”?
5 + h
5 h
h minus 5
StartFraction h Over 5 EndFraction

Answers

The answer is 5h


This is because the phrase “times” represents multiplication, therefore your answer would be 5 x h but you can represent that as just 5h.!

Answer:5h

Step-by-step explanation: i just did the quiz

help please with #3

Answers

Answer: x = 2a over b + c

Step-by-step explanation:

1. Multiply both sides by two. This cancels out 2 and turns a into 2a. It should look like 2a = bx + cx

2) Since both b and c have x’s, we turn it into (b + c)x

3. Then divide both sides by b+c to get 2a over b + c = x

HOPEFULLY MY LAST ONE!!!!

What is the slope?

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answers

Answer:

1/3

Step-by-step explanation:

Rise/run

10/30

I hope this is right and that it helps.

Use these points to find out the slope: (10,60) , (40,70)
Slope: 1/3

Could anyone give a hand?

Answers

Answer: 73.5

first you work out the total area of this shape.

area: 105

this mean you can start working out the non-shaded area to do this you need to multiply 7cm with 6cm which is 42cm then you divide by 2 to get 21cm.

then to work ou the other non-shaded area in the left you multiply 3cm and 7cm together getting 21cm you then divide it and you get 10.5.

you then add 10.5cm and 21cm together to get 31.5cm, subtract that answer with the total area which gets the answer 73.5!

a rectangle has a length of x3y4 inches and a width of xy7 inches . Which expression represents the ratio of the length of the rectangle to do width of the rectangle?

Answers

Given:

Length of the rectangle = [tex]x^3y^4[/tex] inches

Width of the rectangle = [tex]xy^7[/tex] inches

To find:

The ratio of the length of the rectangle to width of the rectangle.

Solution:

We have,

Length = [tex]x^3y^4[/tex] inches

Width = [tex]xy^7[/tex] inches

So, the ratio of the length of the rectangle to width of the rectangle is

[tex]Ratio=\dfrac{Length}{width}[/tex]

[tex]Ratio=\dfrac{x^3y^4}{xy^7}[/tex]

[tex]Ratio=\dfrac{x\times x^2\times y^4}{x\times y^4\times y^3}[/tex]

Cancel out the common factors.

[tex]Ratio=\dfrac{x^2}{y^3}[/tex]

[tex]Ratio=x^2:y^3[/tex]

Therefore, the required ratio is [tex]x^2:y^3[/tex].

Slope is known as the run over the rise. True or False

Answers

Answer:

false. slope is calculated by rise over run

Answer:

FALSE

Step-by-step explanation:

Slope is known as the RISE OVER RUN.

Can I get brainliest? Plz!!!

40% as fraction and decimal

Answers

Answer:

40% as a decimal is 0.4

40% as a fraction is 2/5

Step-by-step explanation:

Let's go over each of these step by step.

First, let's see 40% as a fraction.

Since 40% is out of 100%, we can rewrite that as 40/100.

If you want to simplify it, let's do the following.

40/100

Divide both sides by 20, and you'll end up with:

2/5.

Now, let's do 40% as a decimal.

This is pretty simple.

40% is 40/100 as said before, and to find it as a decimal,

let's divide 40 and 100.

40 divided by 20 = 0.4

Therefore, we can conclude the following:

40% as a fraction is 40/100, or 2/5.

40% as a decimal is 0.4

Hope this helped! :)

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