There are a number of radian-degree equivalents that it would be time-saving and otherwise worthwhile to memorize. π/6 = 30 degrees is one of these. For reference, here are a few others:
radians degrees
0 0
2π 360
π 180
π/2 90
π/4 45
and so on. Good luck!
Answer:
- C) (x − 3)2 = 25
- C) Factor out 4 from 4x2 + 40x.
Step-by-step explanation:
1. Adding the square of half the x-coefficient to both sides of the equation will "complete the square." That square is 9, so the result on the right is 16+9 = 25. Only selection C matches.
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2. To complete the square, you want to be able to put the quadratic into the form a(x -h)^2 = -k. For the purpose, it is most convenient to first factor "a" from the given quadratic. Then you can determine "-h" to be half the x-coefficient inside the parentheses.
Here, that looks like ...
4(x² +10x) = 80 . . . . . . . . . . step 1: factor out 4
4(x² +10x +25) = 180 . . . . . add 25 inside parentheses and the same number (4·25) on the right side of the equation
4(x +5)² = 180 . . . . . . . . . . . written as a square
Answer:
I think it is either A or D
Before adding dissimilar fractions (fractions with different denominator), you have to make the fractions similar first. To make the fractions similar, find the Least Common Multiple of the denominator. In this case, the LCM is 10. Then rewrite the fractions using the LCM as the denominator.
9/10 = 9/10; 4/5 = 8/10
You can now proceed with addition -
9/10 + 8/10 = 17/10 or 1 7/10
It is important to do the
calculations very carefully. Otherwise there is nothing complicated about this
problem.
Let us assume the unknown number = x
Then
40x/100 = 55
40x = 55 * 100
40x = 5500
x = 5500/40
= 550/4
= 137.5
So
55 is 40% of 137.50. I hope the procedure is clear to you and in future
you can solve such problems on your own without requiring any help from
outside.This is the simplest way of solving such
problems.
