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Step-by-step explanation:

In Quadrant II, cosine is negative.

We know that sin²x + cos²x = 1, so:

cosx = sqrt[1 - sin²x]

= sqrt[1 - (5/13)²]

= sqrt(144/169)

= -12/13 (since cosx is negative here)

The answer is -12/13. (B)

Option B is correct.

According to the given question

We have,  sin ∅ = 5/13

From the trigonometric identities we know that

[tex]sin^{2}[/tex]∅ + [tex]cos^{2}[/tex]∅ =1

substitute the value of sin∅ in the above identity

[tex](\frac{5}{13} )^{2} + cos^{2}[/tex]∅  =1

⇒ [tex]\frac{25}{69} +cos^{2}[/tex]∅  =1

⇒ [tex]cos^{2}[/tex]∅ = 1 - [tex]\frac{25}{169}[/tex]

⇒ [tex]cos^{2}[/tex]∅ = [tex]\frac{169-25}{69} =\frac{144}{169}[/tex]

⇒[tex]cos[/tex]∅ = [tex]\sqrt{\frac{144}{169} }[/tex]

⇒cos∅ = ±[tex]\frac{12}{13}[/tex]

Since, ∅ is in quadrant II, then cos<0

⇒ cos∅ = -[tex]\frac{12}{13}[/tex]

Hence, option B is correct.

Learn more about quadrant and cast rule here:

https://brainly.com/question/11099638

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A) [tex]7x(-5)[/tex]

A multiplicação de um numero positivo por um numero negativo resulta em um numero negativo: [tex](+) x (-)=(-)[/tex]

[tex](7x5)[/tex]

Multiplique os valores

[tex]-35[/tex]

resposta para  A: [tex]-35[/tex]

B)[tex](-9)x(-8)[/tex]

A multiplicação dois números negativos resulta em um numero positivo : [tex](-)x(-)=(+)[/tex]

[tex]9 x 8[/tex]

Multiplique os valores

[tex]72[/tex]

Resposta para B :[tex]72[/tex]

C)[tex](-15) : 5[/tex]

A divisão de um numero negativo por um positivo resulta em um numero negativo: [tex](-):(+)=(-)[/tex]

[tex]-(15:5)[/tex]

Divida os números

[tex]-3[/tex]

Resposta para C: [tex]-3[/tex]

D) [tex]125 : 25[/tex]

Divida os números

[tex]5[/tex]

Resposta para D: [tex]5[/tex]

POR FAVOR ME MARCA BRAINLIEST

answer

[tex] {36k}^{2} - 1[/tex]

using identity

[tex](a + b)(a - b) = {a}^{2} - {b}^{2} [/tex]

let a=6k and b=1

we get

[tex](6k + 1)(6k - 1)[/tex]

hope you are satisfied

Answer:

x = 6

Step-by-step explanation:

This means that they are equivalent to each other.

10 = 30 *Multiply by 3

2 = x

Since we multiplied by 3 to get 30, x is just 2 mulitplied by 3.

x = 6

Answer:

Hi

the answer would be:

10/40 = 2/2+x => if you solve the equation, it'll be equal to : x = 6

I hope that it's correct.

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

32/4=8

Answer: 8 minutes

Step-by-step explanation: You can use a proportion to calculate.

[tex]\frac{32}{4} = \frac{x}{1}[/tex]

32 x 1 / 4 = 8

8 minutes = 1 mile

Answer:

22x?

Step-by-step explanation:

is there more to this question? if not its just simple addition and then add "x" at the end

Answer:

D

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos CBA = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{3}{9}[/tex] , thus

∠ CBA = [tex]cos^{-1}[/tex] ([tex]\frac{3}{9}[/tex] ) ≈ 70.53° ( to 2 dec. places )

Answer:

2/3 of 2 is 1.33

Step-by-step explanation:

this because 2/3 times 2 is 1.33

Answer:

4/3

Step-by-step explanation:

2/3 of 2 is basically multiplying 2/3*2/1.

Therefore it's (2*2)/(3*1) which is 4/3.

Answer: Elena would be the correct answer

Step-by-step explanation: since ants have 6 legs and have 1 body we know that there are 6 legs for every 1 ant. hope this helps

Answer:

Transitive property of segment congruence

Step-by-step explanation:

The reflexive, symmetric, and transitive properties are the criterion for an equivalence relation. In terms of congruence,

In terms of general equivalence relations,

That's the transitive property.

The fact that congruence is transitive means exactly what you have written: if A is congruent to B and B is congruent to C, then you can "bridge" from A to C.

Answer:

-3/2

Step-by-step explanation:

Answer:

The price is 212.49

Step-by-step explanation:

sorry if wrong.

Answer:

p x 0.79 = 7.90 or 0.79 x p =7.90

Answer:

x=1

Step-by-step explanation:

-3x=-3

Answer:

16an - 19an + 9an + 8b + 12b

6an + 20b

Answer:

6an+20b I believe

Step-by-step explanation:

Answer:

k = 0.25t^2

Step-by-step explanation:

Given the equation :

b = 0.25t

b = number of inches that has burned away

t = time

From our knowledge of variation;

Since candle length will decrease with time ;

b α 1/ t

b = k/t

Where k is the proportionality constant

Comparing the equation :

b = 0.25t

k/t = 0.25t

k = 0.25t^2

Step-by-step explanation:

2.6% b/c 1820×2.6/100

Answer:i dont know but i think its D.

Step-by-step explanation:

Pls mark meh Brainlessed                  

My friend justen here hes tacken and hes cracked at fornight my guy AHHHH A BREAD DOG

Answer:

43

-161

Step-by-step explanation:

Answer:

y = 1/4x + 0 or just y = 1/4x

Step-by-step explanation:

First I need the slope so I look at the dots and see how much boxes it goes up and then to the side. So it’s up 2 to the side 8. The slope would be 2/8 but you can simply it by 2 and you get 1/4. And the y intercept is given its zero.

Answer:

In the slope-intercept form you use the slope of the line and the y-intercept to express the linear function. ... y=mx+b. Where m is the slope and b is the y-intercept.

Step-by-step explanation: I hope this helps

Answer:

y=mx + b

Step-by-step explanation:

I think it's (3,4) but I am not confident so please be understanding

Answer:

(3, 1 )

Step-by-step explanation:

The centre of the circle is at the midpoint of the diameter.

Given endpoint (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] )

Here (x₁, y₁ ) = (9, 7) and (x₂, y₂ ) = (- 3, - 5 ) , then

midpoint = ( [tex]\frac{9-3}{2}[/tex], [tex]\frac{7-5}{2}[/tex] ) = ( [tex]\frac{6}{2}[/tex], [tex]\frac{2}{2}[/tex] ) = (3, 1 )

Thus centre of circle = (3, 1 )

Answer:

Yes it does

The constant of proportionality is 7.2

Step-by-step explanation:

Here, we are to determine if the expression represents a proportionality relationship

From the question, we can see that this is so

If we placed x beneath y, we will have

y/x = 7.2

So therefore the ratio between the two is 7.2 and thus, the equation represents a proportional relationship

Answer:

(-8;11] is the range of the graph

Answer:

Step-by-step explanation:

Jennifer's bank account is growing at a rate of change 10 as per the given function

William’s bank account is growing at a rate of change 14 as per the table

Jennifer is wrong because 10 < 14

Answer:

sorry bruv wish you the best i will pray for you

Step-by-step explanation:

Step-by-step explanation:

P * h = k, where k is a real constant.