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taurus [48]
3 years ago
5

What is the probability of landing on a multiple of 3 in a twenty-sided die?

Mathematics
1 answer:
scoray [572]3 years ago
5 0

Answer:

1by 20

Step-by-step explanation:

no of digit by no of sides

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Mhanifa please help I will mark brainliest
MAXImum [283]

Answer:

  • 36°
  • 90°

Step-by-step explanation:

Question 1

  • x = 180° - 2*72° = 180° - 144° = 36°

Question 2

  • x + 2(x/2) = 180°
  • 2x = 180°
  • x = 90°
7 0
3 years ago
Use the identity tan(theta) = sin(theta) / cos(theta) to show that tan(???? + ????) = tan(????)+tan(????) / 1−tan(????) tan(????
VMariaS [17]

Answer:

See the proof below.

Step-by-step explanation:

For this case we need to proof the following indentity:

tan(x+y) = \frac{tan (x) + tan(y)}{1- tan(x) tan(y)}

So we need to begin with the definition of tangent, we know that tan (x) =\frac{sin(x)}{cos(x)} and we can do this:

tan (x+y) = \frac{sin (x+y)}{cos(x+y)}   (1)

We also have the following identities:

sin (a+b) = sin (a) cos(b) + sin (b) cos(a)

cos(a+b)= cos(a) cos(b) - sin(a) sin(b)

Now we can apply those identities into equation (1) like this:

tan (x+y) =\frac{sin (x) cos(y) + sin (y) cos(x)}{cos(x) cos(y) - sin(x) sin(y)}   (2)

We can divide numerator and denominator from expression (2) by \frac{1}{cos(x) cos(y)} we got this:

tan (x+y) = \frac{\frac{sin (x) cos(y)}{cos (x) cos(y)} + \frac{sin(y) cos(x)}{cos(x) cos(y)}}{\frac{cos(x) cos(y)}{cos(x) cos(y)} -\frac{sin(x)sin(y)}{cos(x) cos(y)}}

And simplifying we got:

tan (x+y) = \frac{tan(x) + tan(y)}{1-tan(x) tan(y)}

And that complete the proof.

8 0
3 years ago
Ming took a cab across town. His fare was \$22$22, and he leaves an 18\%18% tip. What is the total amount Ming pays the cab driv
Lilit [14]

Answer:

$25.96

Step-by-step explanation:

First, you turn the percent into a decimal, which gives you .18.  Then, you multiply $22 by .18.  Finally, you add the $3.96 that you get by multiplying $22 by .18, and you get the answer that is above.  Plz mark brainliest if correct.

6 0
3 years ago
Read 2 more answers
Calculate the trade discount for 3030 boxes of computer paper if the unit price is ​$14.9314.93 and a single trade discount rate
zhannawk [14.2K]

Answer:

Total trade discount on 30 boxes = $201.555

Step-by-step explanation:

1 box = $14.93

And a trade discount of 45% is allowed on a single box,

Therefore, the discount on one $14.93 box will be

45% × $14.93 = $6.7185

So, if there are now 30 boxes, the trade discount on all 30 boxes will be

30 × (trade discount on one box) = 30 × ($6.7185) = $201.555

Hope this helps!

5 0
3 years ago
For questions 1 and 2, use factoring to find the x-intercepts of these quadratic equations.
Marysya12 [62]
1.x^2 +6x - 4 = 6x
X^2 + 6x -4 - 6x = 0
X^2 - 4 = 0
By difference of two squares :
X^2 - 4 = 0 can be written as (x-2) (x+2) = 0
(X-2)=0 therefore x= 2

(X+2)=0 therefore x= -2

2. X^2 - 8x = -6x
X^2 -8x + 6x = 0
X^2 - 2x = 0
X(X-2) = 0
X= 0, X= 2
6 0
3 years ago
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