I think this is how
<span /><span><span><span>you change the - to a +
8/12 + -1/5 then
2/3+-1/5 then
10/15+-3/15
10+-3
---------
15
7/15
</span></span></span>
Explanation:
a)
b) First, we have that
On the other hand,
Therefore, both expressions are equal. This makes sense, because selecting k elements from a group of n is the same than specify which elements you will not select. In order to specify those elements you need to select the n-k elements that will not be selected. Hence, each time you are selecting k from n, you are also selecting n-k from n, and from that reason both combinatorial numbers are equal.
Answer: I think it A
Step-by-step explanation:
Answer:
x = 8
Step-by-step explanation:
If a triangle is equilateral, each vertex has an angle that is equal to 60 degrees
As we can see, we have two sets of similar right triangles
The value x faces the right angle and that makes it the hypotenuse
Also, the side measure 4 is the adjacent side to the angle 60
The trigonometric identity that relates the hypotenuse and the adjacent is the cosine
it is the ratio of the adjacent to the hypotenuse
Mathematically;
cos 60 = 4/x
x = 4/cos 60
x = 8
Answer:
easy peasy lemon squeasy
Step-by-step explanation:
1. base of triangle: it is an equilateral triangle, so any side of the triangle you take is the base, (usually the largest side of the triangle is the base)
so that would be => 10 inches,
2. a property of an equilateral triangle is that , the median of the triangle coincides with the height of the triangle,
therefore, the height bisects the base and makes a right triangle with another side, therefore by using the Pythagoras theorem, we find it to be 8.66(approx)
now,
area of the triangle would be (putting the values we just found in the formula given)
=> [(10)(8.66)]/ 2
=>43.3 square inches