What is the value of x?

Answer:

We want to prove the relation:

cosec(a)^2 - cot(a)^2 = 1

where:

cosec(a) = 1/sin(a)

cot(a) = 1/tg(a) = cos(a)/sin(a)

We can start with the relationship:

cos(a)^2 + sin(a)^2 = 1

Now, let's divide by sin(a)^2 in both sides:

(cos(a)^2 + sin(a)^2)/sin(a)^2 = 1/sin(a)^2

cos(a)^2/sin(a)^2 + sin(a)^2/sin(a)^2 = (1/sin(a))^2

(cos(a)/sin(a))^2 + 1 = (1/sin(a))^2

and remember that:

cosec(a) = 1/sin(a)

cot(a) = 1/tg(a) = cos(a)/sin(a)

Then we can write:

(cos(a)/sin(a))^2 + 1 = (1/sin(a))^2

as:

cot(a)^2 + 1 = cosec(a)^2

1 = cosec(a)^2 - cot(a)^2

And this is the relation we wanted to prove.

Step-by-step explanation:

Subtracting (3x -n -1) and (2-2x -n)

= 3x - n - 1 - 2 + 2x + n

= 5x - 3

Hope it will help :)

Answer:

5x - 3

Step-by-step explanation:

Answer:

23 29/66

Step-by-step explanation:

If Malik and Erin harvest about 2 1/3 acres' worth of corn each day and they have 10 1/22 days to harvest the field, the total acres that can be harvested would be the product of 2 1/3 and 10 1/22

2[tex]\frac{1}{3}[/tex] x 10[tex]\frac{1}{22}[/tex]

Convert the mixed fractions to an improper fraction

[tex]\frac{7}{3}[/tex] x [tex]\frac{221}{22}[/tex] = [tex]\frac{1547}{66}[/tex]

Convert the improper fraction back to mixed fraction To do this, divide the numerator by the denominator, the number got would be the whole number of the mixed fraction. The remainder would be the numerator

23[tex]\frac{29}{66}[/tex]

Answer:

The first swing is 64m

Step-by-step explanation:

The complete question asks for how long the first swing is.

The monkey is swinging from the tree with each swing being along an arc, where each arc is 75% of the previous arc. Also, given that its first four swings is 175cm, we can denote her first swing as y.

This means the second swing would be = 0.75y

The third would be = 0.75(0.75y) = 0.5625y

The fourth would be = 0.75(0.5625y) = 0.421875y

Since the total is 175, we have

y + 0.75y + 0.5625y + 0.421875y = 175

2.734375y = 175

y = 175/2.734375

y = 64m

Answer:

3/4 bucket

Step-by-step explanation:

Given that:

1/2 bucket of nut fills 2/3 of barrel ;

Letbthe number of bucket if nut which fills entire barrel = x

Fraction of entire barrel = 1 /1 = 1

1/2 bucket = 2/3 barrel

x buckets = 1 barrel

Cross multiply ;

(2/3)x = 1/2

2x / 3 = 1/2

2x * 2 = 3 * 1

4x = 3

x = 3/4

Hence, 3/4 bucket of nut will fill entire barrel

Answer:

0.125

Step-by-step explanation:

hope this helps :).

Answer

the.answer is 0.125

Answer:

-3

Step-by-step explanation:

yw

Answer:

(3, 2)

Step-by-step explanation:

Just negate the x & y coordinates.

Answer:

$1,006.25

Step-by-step explanation:

If you sell 70 adult tickets at $12.50 each, use the equation

12.5*70=875

By using the same equation for kids tickets,

8.75*15=131.25

Then add the sums

875+131.25=1006.25

Hope this helps!

9514 1404 393

Answer:

  Q4: 7.5

  Q5: 3

Step-by-step explanation:

Q4. The picture is a bit fuzzy, but it looks like '+' means '+' and the expression is ...

  [tex]18\div4+3\times2\div2=4.5+6\div2=4.5+3=\boxed{7.5}[/tex]

__

Q5. There are 3 instances of "..., 7, 5, x", where x is not 9. They are circled below.

Answer:

14 ( i may be wrong)

Step-by-step explanation:

5:3

3+2=5

?:12

12+2=?

14  

Answer:

4 C3 H6 ........................

Answer:

n > 36

Step-by-step explanation:

Adding 22 to both sides gives n > 36.

Rate 5 stars, thank, and give brainliest if helpful!

Answer:

24

Step-by-step explanation:

30/100 * 80/1 = your equation

30/10 * 8/1 = simplified equation

30/10 * 8/1 = 24. your answer is 24

The number of well-done burgers the restaurant served will be 24.

The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates to one hundred percent. It is symbolized by the character '%'.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

John's burgers cook its burgers either well done or medium. The restaurant served 80 burgers last night, 30% of which were well done.

Then the number of well-done burgers the restaurant served will be given as,

⇒ 30% of 80

⇒ 0.30 x 80

⇒ 24

The number of well-done burgers the restaurant served will be 24.

More about the percentage link is given below.

https://brainly.com/question/8011401

#SPJ5

9514 1404 393

Answer:

  x = 5

Step-by-step explanation:

Assuming the given expressions are supposed to be angle measures, their sum must be 180°.

  (14x +5) +(5 +20x) = 180

  34x = 170 . . . . . . . . . . . . . . subtract 10, collect terms

  x = 5 . . . . . . . . . divide by 34

Answer: U=9

Step-by-step explanation:

Answer:

m<1 51°

m<2 34°

m<3 95°

m<4 38°

m<5 47°

m<6 74°

m<7 59°

m<1 there are 180° on a straight line. 180-129= 51°

m<2 there are 180° in a triangle. we have been given 95° and have just established that m<1 is 51° 180- 95- 51 = 34°

m<3 is a vertically opposite angle to the 95° given. therefore must = 95°

m<4 180° in a triangle. have just established m<3 as 95° have been given 47°. 180 - 95 - 47 = 38°

m<5 is vertically opposite to the 47° given so therefore = 47°

m<7 180° on a straight line 180 - 121 = 59°

m<6 180° in a triangle have previously established that m<5 = 47° and m<7 = 59°

180 - 47 - 59 = 74°

hope that helps xx

Answer:

13 1/3 mph

Step-by-step explanation:

If running 1 1/3 miles takes him 1/10 hour, 1 1/3 * 10 will be his mph

Answer : A) 15

138+132=270

270÷18=15

That’s why the correct answer is 15.

*Hopefully this helps!

Answer: A. 15

Step-by-step explanation: add the amount of female and boy together and then divide that by 18

Answer:1/4

Step-by-step explanation:

Answer:  19.5 GB

To find this answer, we multiply the number of daughters (3) by the amount of data each uses per month (6.5)

So, 6.5*3 = 19.5 is the total amount of gigabytes used per month.

Answer:

6+2

Step-by-step explanation:

[tex]6 - ( - 2)[/tex]

Distribute the negative in.

Negative Multiply Negative must equal Positive.

[tex]6 + 2[/tex]

Answer:

Step-1 : Multiply the coefficient of the first term by the constant

Step-by-step explanation:

Answer:

step 1 = Subtract 3 from both sides

step 2=  Use quadratic formula with a=1, b=14, c=-46

Answer to the equation = x=−7+√95 or x=−7−√95

Answer:

105 degrees

Step-by-step explanation:

The angle of a straight line is 180 degrees. Since we need to find the angle for 3, it is 180-75 which is 105 degrees.

Step-by-step explanation:

Number of combinations

= 5C2 * 7C3

= 10 * 35

= 350.

Hence there are 350 possible ways.

P.S.

5C2 = 5! / (2!3!) = 120 / (2 * 6) = 10.

7C3 = 7! / (3!4!) = 5040 / (6 * 24) = 35.

Answer:

alright hers your brainliest and thank you very much i  really appreciate it

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

To simplify the expression you first would need to multiple each part of it by -2 in order to remove the parenthesis

Answer:

45

Step-by-step explanation:

2x+45+x = 180

Answer:

x=45 degrees

Step-by-step explanation:

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