Answer:
cos W = 7/15
Step-by-step explanation:
Mathematically the cosine of an angle is the ratio of the adjacent to the hypotenuse side
From the diagram given, 14 is adjacent to vertex w and 30 faces the right angle which makes it the hypotenuse
So, we have it that;
cos W = 14/30
cos W = 7/15
Answer:
Step-by-step explanation:
Given the volume of the cylindrical soup expressed as V = πr³+ 7πr²
From V = πr³ + 7πr²;
factor out the common variable
V = πr³ + 7πr²
V = πr²(r+7) ... 1
The original volume of a cylinder V = πr²h .... 2 where;
r is the radius of the cylinder
h is the height of the cylinder
Equating equation 1 and 2, we will have;
πr²(r+7) = πr²h
Divide both sides by πr²
πr²(r+7)/ πr² = πr²h/ πr²
r+7 = h
h = r+7
<em>Hence the factor in the context given is equivalent to the height of the cylinder written as a function of its radius r</em>.<em> The statement means that the height of the cylindrical soup is 7 more than its radius.</em>
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Answer:
B) $697.87
Step-by-step explanation:
The domain is the value of x, the range is the value of y.
A parabola opens infinitely to the right and left, so x can be any number, the domain is all real numbers
Vertically, however, a parabola opens only one way, either upward or downward. when it opens upward from a a certain level, say, the lower point (the vertex) has a y coordinate of 2, we say the range is all real numbers larger than or equal to 2, or y≥2. When it opens downward, we say the range is all real numbers smaller or equal to 2, y≤2
The game that is used for the scenario above in terms of fair play is using a balloon. Here, the player will hit the balloon.
<h3>What is the scenario under the balloon game?</h3>
The rule of play are:
This is a classic game with simple rules which are:
- Each player to hit the balloon up and it bonce into the air but when one should not allow it to touch the ground.,
- Players would be tied together in twos and they will juggle a lot of balloon and it have to be more than 1 balloon with one of their hands tied to their back.
A scenario of the worksheet game whose expected value is 0 is given below:
Assume that it costs about $1 for a player to play the billon game and as such, if the player hits a balloon, they will be given $3. what can you say. Can you say that it this game is fair or not? and who has the biggest advantage.
Solution
Note that a game is ”fair” if the expected value is said to be 0. When a player is said to hits a balloon, their net profit often increase by $4. So when the player do not hit a balloon, it drops to $1.
(4)(0.313) + (-1)(0.313)
= 0.939 approximately
Thus, the expected value is $0.939 which tells that the game is fair.
Learn more about fair play from
brainly.com/question/24855677
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