Tom and Sophie travel from home to school and back once a day. How many kilometres more does Sophie travel in 5days than Tom?

If the terminal side of θ is in quadrant || and sin θ = 5/13, then the value of cos θ = -12/13.

Given that,

Terminal side of θ is in quadrant ||.

Sin θ = 5/13

We have the trigonometric identity,

sin² θ + cos² θ = 1

Substituting the value of Sin θ = 5/13, we get,

(5/13)² + cos² θ = 1

cos² θ = 1 - (5/13)²

          = 1 - 25/169

          = 144/169

cos θ = √ (144/169)

         = ± 12/13

We have the terminal side of θ is in second quadrant. In the second quadrant, all the trigonometric values except sin are negative.

So, cos θ = -12/13

Learn more about Cosine Value here :

https://brainly.com/question/29162608

#SPJ7

Answer:

∠A = 30

Step-by-step explanation:

Look at attachment:

Hope this helps! :)

Answer:

360cm

Step-by-step explanation:

Volume=mass

volume

Answer:

5^13

Step-by-step explanation:

when multiplying numbers with the same base, you add the exponents

Answer:

5^13

Step-by-step explanation:

5^8 = 390625

5^5= 3125

Since you have to write you answer as a power you would do 5^8+5^5= 5^13

Answer:

237 seats are empty

Step-by-step explanation:

Answer:

there are 237 seats that are empty

Step-by-step explanation:

Answer:

Hope u got your answer

Step-by-step explanation:

U r brilliant

Answer:

No it's not compulsory.

Step-by-step explanation:

If the ratio of sides are given then that can also help you find angle. Not only that if the relationship between the perpendicular and base are given then you can find angle

E.g.

if the ratios of the sides is 5:4:3 then you can find the angle

hello

Step-by-step explanation:

[tex]90.[/tex]

90 is the answer:)

Answer:

B) 40

Step-by-step explanation:

Angle X and the missing angle inside the triangle are equal as the are opposite angles.

Therefore,

180 - 65 - 75 = 40

true true true true true true true

Answer:

false

Step-by-step explanation:

3(3+2)(3-1) is not =0

The factor of n(n+2)(n-1) = 1

Answer:

B (8,031)

Step-by-step explanation:

None of these could be 24,093 + 3 so I'm gonna assume you meant ÷ instead of +

Answer:

D

Step-by-step explanation:

There you go mate, just writing this to be 20 words long so I can answer it

Answer:

[tex]\theta = 0, \frac{\pi}{2}, \pi,...[/tex]

Step-by-step explanation:

[tex]sin\theta + cos \theta = 1 \\\\squaring both the sides\\\\sin^{2}\theta + cos^{2}\theta+2 sin\theta cos\theta = 1 \\\\2sin\theta cos\theta = 0 \\\\sin2\theta = 0\\\\2\theta = 0, \pi, 2 \pi,....\\\\\theta = 0, \frac{\pi}{2}, \pi,...[/tex]

This is the correct solution.

Answer:

180

Step-by-step explanation:

90 + 4x + 7x - 20 equals to 180

Answer:

B. 50

Step-by-step explanation:

Answer:

D) y= -1/2x+9

Step-by-step explanation:

if u substitute y with 8 u will get 2

if u substitute y with 5 u will get 8

Answer:

D

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}=xy_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (2, 8) and (x₂, y₂ ) = (8, 5)

m = [tex]\frac{5-8}{8-2}[/tex] = [tex]\frac{-3}{6}[/tex] = - [tex]\frac{1}{2}[/tex]

The line crosses the y- axis at (0, 9) ⇒ c = 9

y = - [tex]\frac{1}{2}[/tex] x + 9 → D

Answer: he needs to sell 28 more bags to sell 120 dollars of popcorn

Step-by-step explanation: I need one more brainliest for the next rank I’d appreciate it

Answer:

A = $70753

Step-by-step explanation:

[tex]A = P(1 + \frac{r}{n})^{nt}[/tex]

P = $41000

r = 6.25% = 0.0625

n = 1

t = 9

[tex]A = 41000(1 + 0.0625)^9 = 70752.91[/tex]

[tex]A = \$70753[/tex]

Answer:  E. square root of 2

We can write that in shorthand as sqrt(2)

sqrt(2) = 1.41421 approximately

======================================================

Explanation:

Step 1)

Add up the values to get 18+19+20+21+22 = 100

Divide by n = 5, since there are 5 items in the list. So 100/n = 100/5 = 20

The sample mean is xbar = 20

--------------

Step 2)

Subtract the mean from each data value

The results we get are: -2, -1, 0, 1, 2

---------------

Step 3)

Square the results from the previous step

The results here are: 4, 1, 0, 1, 4

---------------

Step 4)

Add up those squares from the previous step: 4+1+0+1+4 = 10

Now divide by n = 5 to get 10/n = 10/5 = 2

The result 2 represents the population variance. Applying the square root to the population variance leads to the population standard deviation. So we end up with the final answer of sqrt(2). The answer is choice E.

sqrt(2) = 1.41421 approximately

---------------

Note: if you want the sample standard deviation, then you divide by n-1 = 5-1 = 4, but the other steps are the same as before.

Answer:

6. (0, 7)

7. (-3, -10)

8. (-3, 9)

9. (2, 0)

Step-by-step explanation:

Answer:

6. (0,7)

7.(-3,-10)

8. (-3,2)

9. (2,0)

Answer:

= x^2-3x-4/x(x+1)(x-2)

Step-by-step explanation:

x+2/x2+x - 3/x2-x-2

=x+2/x(x+1) - 3/x^2-x-2

=x+2/x(x+1) - 3/x^2-2x+x-2

= x+2/x(x+1) - 3/x(x-2)+1(x-2)

= x+2/x(x+1) - 3/(x+1)(x-2)

Find the LCM

= (x+2)(x-2)- (3x)/x(x+1)(x-2)

=  (x+2)(x-2)- (3x)/x(x+1)(x-2)

= x^2-4-3x/x(x+1)(x-2)

= x^2-3x-4/x(x+1)(x-2)

Answer:

Solution given:

In right angled triangle

ABC.

with respect to <C=40°

opposite side=AB

adjacent=BC=DE=30ft

now

relationship between opposite side and adjacent

is given by tan angle

tan 40°=oppo/adjacent

tan40°=AB/30

AB=tan40*30

AB=25.2

Now

height of flagpole =AB+BE=25.2+5=30.2ft

option 4th is a required answer

Answer:

CORRECT STATEMENTS:

Step-by-step explanation:

Answer:

complementary

Step-by-step explanation:

complementary angles are are angles that add up to 90 degrees

Answer:

2.8km

Step-by-step explanation:

a = sqrt(c^2-b^2)

a = sqrt(9.9^2 - 9.5^2)

a = sqrt(7.76)

a = 2.78567765544

Round that to 2.8 and there's your answer

Answer:

2nd is correct

Step-by-step explanation:

ok now mark me brainlist

Answer:

41

Step-by-step explanation:

360-(104+104+111)=41