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Vitek1552 [10]
3 years ago
15

In a game, players roll a 6-sided dice. Each side has dots ranging from 1 dot to 6 dots. For the player to win the prize, a dice

must show a side containing multiples of 3 dots. What is the probability of winning the prize?
1/6
1/2
5/6
1/3
Mathematics
1 answer:
EleoNora [17]3 years ago
7 0

Answer:

1/6 cause there is a 1 in 6 chance each time you roll the die

Step-by-step explanation:

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Michael, whose eyes are five feet off the ground, is standing 26 feet away from the base of a building, and he looks up at a 65°
yawa3891 [41]

Answer:

Dear user,

Answer to your query is provided below

The building is 60.77 ft tall.

Step-by-step explanation:

Explanation is provided below in the image attached

3 0
3 years ago
you correctly answered 2/3 of the questions on your history exam there were 75 questions on the exam how many questions did you
GaryK [48]
2/3 of 75 is 2/3 times 75, which is 50. Hope this helps. :D
8 0
3 years ago
Rewrite the function f(x)=-4(x-3)^2+16 in the form f(x)=ax^2+bx+c
elena55 [62]

Answer:

f(x) = - 4x² + 24x - 20

Step-by-step explanation:

Given

f(x) = - 4(x - 3)² + 16 ← expand the factor using FOIL

     = - 4(x² - 6x + 9) + 16 ← distribute parenthesis by - 4

    = - 4x² + 24x - 36 + 16 ← collect like terms

    = - 4x² + 24x - 20

4 0
2 years ago
What would 4(2+x)=18-x equal
matrenka [14]

Answer:

x=2

Step-by-step explanation:

4( 2+x) = 18-x

8 + 4x = 18 - x

4x+x = 18-8

5x= 10

x=2

8 0
3 years ago
I'm having a hard time with this question so someone help please
bulgar [2K]

Answer:

  7.7 km

Step-by-step explanation:

This question is asking you to find the third side of a triangle in which two sides and an angle not between them are given. The law of sines provides the necessary relationships.

<h3>Law of Sines</h3>

The Law of Sines tells you that triangle side lengths are proportional to the sine of the opposite angle. For this triangle TPJ, the relation is ...

  t/sin(T) = p/sin(P) = j/sin(J)

We are given T=68°, p=5.2 km, t=7.5 km, and we are asked to find the length of j, the TP distance.

<h3>Setup</h3>

We know the sum of angles in a triangle is 180°, and the sine of an angle is equal to the sine of its supplement. This lets us fill in the Law of Sines equation like this:

  7.5/sin(68°) = 5.2/sin(P) = j/sin(68°+P) . . . . . solve for j

<h3>Solution</h3>

This can be solved in two steps. First, we find angle P, then we use that to find length j.

  sin(P) = 5.2/7.5 × sin(68°) ≈ 0.642847

  P = arcsin(0.642847) ≈ 40.0045°

Now, we can find j:

  j = 7.5 × sin(68° +40.0045°)/sin(68°) ≈ 7.693 . . . km

The distance from the tower to the plane is about 7.7 km.

__

<em>Additional comment</em>

We have used T, P, and J to refer to the vertices at the tower, plane, and jet.

The triangle can also be solved using the Law of Cosines. In that case, the missing side will be the solution to a quadratic equation with irrational coefficients.

3 0
2 years ago
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