Question 12: There are only red, black and green pens in a box.
There are three times as many red pens as green pens.
There are four as many black pens than red pens.
Work out the probability of a black pen being selected

working pls !! :D​

Using trigonometric identities, it is found that the value of the tangent of the angle is given by:

B. [tex]-\frac{\sqrt{15}}{7}[/tex]

The tangent of an angle is given by it's sine divided by it's cosine, that is:

[tex]\tan{\theta} = \frac{\sin{\theta}}{\cos{\theta}}[/tex]

In this problem, we have that:

[tex]\cos{\theta} = -\frac{7}{8}[/tex]

The following identity is applied:

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

Then:

[tex]\sin^2{\theta} + \left(-\frac{7}{8}\right)^2 = 1[/tex]

[tex]\sin^2{\theta} + \frac{49}{64} = 1[/tex]

[tex]\sin^2{\theta} = \frac{15}{64}[/tex]

[tex]\sin{\theta} = \pm \frac{\sqrt{15}}{8}[/tex]

Since it is on the second quadrant, it is positive, hence:

[tex]\sin{\theta} = \frac{\sqrt{15}}{8}[/tex]

Applying the tangent equation:

[tex]\tan{\theta} = \frac{\sin{\theta}}{\cos{\theta}}[/tex]

[tex]\tan{\theta} = \frac{\frac{\sqrt{15}}{8}}{-\frac{7}{8}}[/tex]

[tex]\tan{\theta} = -\frac{\sqrt{15}}{7}[/tex]

More can be learned about trigonometric identities at https://brainly.com/question/22591162

Answer: $12,000

Step-by-step explanation:

Miguel makes 6% on every sale he makes and wants to make $600 in commissions.

The amount he needs to sell is therefore the amount that has $600 as 5% of it.

Assume the amount of insurance needed is x.

x * 5% = 600

x = 600 / 5%

x = $12,000

Answer: -8

Step-by-step explanation:

Put -8 in place of all of the x variables when I solved the top was equal to 40 and the denominator was equal to -5 and 40/-5 is equal to -8

Answer:

-8

Step-by-step explanation:

(-8) ^2+3(-8)

= ------------------------

4(-8)+27

64-24

=-----------------

-32+27

40

=------------

-5

= -8

Answer:

Step-by-step explanation:

32.16 / 4 = 8.04

$8.04

Answer:

226.19

Step-by-step explanation:

Answer:

yvcwඨ්‍ය්වුය්tubcccccccccccccuuuuuu,,,v ttttttttrhhhhhhhhh

9514 1404 393

Answer:

   yes

Step-by-step explanation:

The tower is about 50.1 meters tall. The guidebook is correct.

__

The distance from the base of the tower to the angle vertex is ...

  d1 = h/tan(46°)

  d2 = d1 +50 = h/tan(27°)

Then the height of the tower is ...

  h/tan(46°) +50 = h/tan(27°)

  50 = h(cot(27°) - cot(46°))

  h = 50/(cot(27°) -cot(46°)) ≈ 50/(1.96261 -0.96569) ≈ 50/0.99692

  h ≈ 50.1544 . . . meters

The tower is more than 50 meters high.

Answer:

6 answers

Step-by-step explanation:

46,48,68,64,86,84

Answer:

Scale factor is 2/5 or 0.4

Step-by-step explanation:

Divide radius of smaller circle (2) by radius of large circle (5)

Answer:

Scale factor is 2/5

Step-by-step explanation:

Answer:

Step-by-step explanation:

4 x 6 1/4

4 x 25/4

= 25

Answer:

1/13 is the smallest fraction

Step-by-step explanation:

1/13 = 0.0769

1/11 = 0.0909

1/12 = 0.0833

1/13 is the smallest fraction

Answer:

Step-by-step explanation:

Ok so first, we must figure out what 1 once costs. This can be done by divideing 4.48(cost) by 14(weight).

You should get 0.32.

Now just multiply by 8 and you should get your answer. This answer is 2.56.

Answer:

2.56

Another way this can be done is dividing 8(second weight) by 14(first weight) which will get you the difference. This is 0.5714 blah blah blah goes on for a long time. Now, take this number and multiply it by the 4.48(first cost). This should get you 2.56.

Answer:

2.56

Ti⊂k∫∈s ω∅∅p

Answer:

I think it does not have zeros if it doesn't cross the x-axis .

Step-by-step explanation:

Good luck ^_^

Answer:

2500 m long

Step-by-step explanation:

Answer:

2,500 meters

Step-by-step explanation:

There are 1000 meters in a kilo meter so just multiply 2.5 x 1000

Answer:

[tex]2,000lb < 1 t[/tex]

Step-by-step explanation:

1 Ton = 2,240 lb

Answer:it y

Step-by-step explanation: it y =2/2x-3

Answer:

2 miles

Step-by-step explanation:

12 mph would be 6 miles in a half hour

8 - 6 = 2 miles

Answer:

x=22

Step-by-step explanation:

The answer is x=22.

I had put the answer on comment sorry.

Answer:

a

Step-by-step explanation:

Given

u = (x₁, y₁, z₁ ) and v = (x₂, y₂, z₂ ) then the dot product is

u • v = (x₁ x₂ ) + (y₁ y₂ ) + (z₁ z₂ )

Then

v • w

= (5 × 9) + (- 4 × - 2) + (4 × 7)

= 45 + 8 + 28

= 81 → a

Answer:

B

Step-by-step explanation:

Answer:

Triangle:

- triangle-sticky notes yung triangle shape

- toblerone candy

Quadrilateral:

-quadrilateral-book

-box

-frame

Step-by-step explanation:

hope it helps u and may I get brainliest

Answer:

Sandwich.

A Slice of Pizza.

Road sign.

An Arrow.

Triangular Ruler.

Zelda Triforce Symbol.

Triangular Ruler.

Step-by-step explanation:

Answer:

5 x 30 + 5 x 7 is the correct option.

Answer:

5*30+5*7

Step-by-step explanation:

mexico simpre gana vamooos mexico alv todos los estadunidence s

Answer:

1c

2c

3b

Step-by-step explanation:

Answer:

None.

All the four given measurements can form a triangle.

Step-by-step explanation:

Given;

first measurement, = 2m , 5m, 6m

second measurement, = 8m, 10m, 17m

third measurement, = 5m, 20m, 22m

fourth measurement, = 4m, 15m, 20m

For any of the three lengths to form a triangle, the sum of any two sides must be greater than the third side.

First measurement: 2m + 5m = 7m and 7m > 6m (can form a triangle)

Second measurement: 8m + 10m = 18m and 18m > 17m (can form a triangle)

Third measurement: 5m + 20m = 25m and 25m > 22m (can form a triangle)

Fourth measurement: 4m + 15m = 19m and 19m < 20m  BUT

                                  20 m + 15m = 35 m and 35 m > 4m (can form a triangle)

Therefore, all the four given measurements can form a triangle.

Answer:

The area of whole square is 396 sq mm

the area of triangle  = 99

396 - 99 = 297 sq mm

Answer - 297