Answer:
x= 12.5
So
2x = 25
4x = 50
6x = 75
Step-by-step explanation:
line CG is 180 degrees, so 12x + 30 = 180
x = 12.5
Using the permutation formula, it is found that there are 600 ways to fill the pitcher and catcher positions.
The order is important, as one player is the pitcher and the other is the catcher, hence the <em>permutation formula </em>is used to solve this question.
<h3>What is the permutation formula?</h3>
The number of possible permutations of x elements from a set of n elements is given by:
2 players are taken from a set of 25, hence the number of ways is given by:
.
More can be learned about the permutation formula at brainly.com/question/25925367
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49–2ax –a^2–x^2
Extract the negative sign
= 49 - (a^2 +2ax +x^2)
Factor using a^2 + 2ab + b^2 = (a+b)^2
= 49 - (a+x)^2
Factor using a^2 - b^2 = (a-b)(a+b)
= ( 7- (a + x)) * (7 + (a + x))
= ( 7- a - x) * (7 + a + x)
How many 3 wires can be cut from a spool of wire that is 100 inches long?
How many inches will be left over?
Number of pieces of wires = length of spool of wire ÷ length of each piece of wire.
Number of pieces = 100 ÷ 3 = 100 ÷
That gives
Simplifying gives =
This is equivalent to 26 pieces
So 26 pieces of wires can be cut from a spool and of a piece will be left over.
Volume of prism = area of base * height
as both prism are similar so,
if in smaller prism Length is 5 then in Larger it is 15 that is multiple of 3
similarly , breath and height will be also multiple of 3
so, V1 = 60
then V2 = 60 *3*3*3 = 1620 cubic cm
hope it helped