RSM can send 4 of its 18 teachers into a conference in 3060 ways.
Combinations are the various ways in which objects from a given set may be selected. Normally it is done without replacement, to form the subsets. Combinations are a way to find out the total outcomes of an event where the order of the outcomes does not matter.
Thus the Combination is the different selections of a given number of objects taken some or all at a time. For example, if we have two alphabets A and B, then there is only one way to select two items, we select both of them. For Combinations, k elements are selected from a set of n objects to produce subsets without bothering about ordering. Here Combinations BA and AB will be no longer distinct selections. Thus by eliminating such cases we get only 10 different possible groups, which are AB, AC, AD, AE, BC, BD, BE, CD, CE, and DE.
Thus RSM can send 4 of its 18 teachers into a conference = 18C
18C = 3060 ways
Thus RSM can send 4 of its 18 teachers into a conference in 3060 ways
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It is 28.8 because if you do 48% * 60 you get 28.8 =)
Answer:
41.04 meters
Step-by-step explanation:
The questions which involve calculating the angles and the sides of a triangle either require the sine rule or the cosine rule. In this question, the two sides that are given are adjacent to each other the given angle is the included angle. The initial position is given by A. The tree is denoted as C and the fence post is denoted as B. Since the use of sine rule will complicate the question, it will be easier to solve this question using the cosine rule. Therefore, cosine rule will be used to calculate the length of BC. The cosine rule is:
BC^2 = AB^2 + AC^2 - 2*AB*AC*cos(BAC).
The question specifies that AC = 70 meters, BAC = 25°, and AB = 35 meters. Plugging in the values:
BC^2 = 35^2 + 70^2 - 2(35)(70)*cos(25°).
Simplifying gives:
BC^2 = 1684.091844.
Taking square root on the both sides gives BC = 41.04 meters (rounded to two decimal places).
Therefore, the distance between the point on the tree to the point on the fence post is 41.04 meters!!!
X= 22.5 get the x by itself by dividing by 2
4/5 = 28/x
You need to multiply 4 by how many times to get 28?
4.y = 28
y = 28/4
y = 7
So, you need to multiply 5 by 7 to know x.
x = 5.7
x = 35
4/5 = 28/35