Answer:
Step-by-step explanation:
In this graph, we have the coordinate point (
). Without translations, cos(0) = 0, which means that the graph is shifted to the right by 
. We also know that the graph is shifted down by 1 because we have the point
(
), but accounting for the right shift, this point should really by (
). cos(
) = -1, but on the graph it is -2, meaning that it is shifted down by 1.
Therefore, accounting for the right shift by and the shift down by 1, our equation is 
.
If triangle abc is similar to def
That means all angles are the same and sides will be multiplied by some factor x. So AB(x)= DE
8x=24
Therefore x =3
Now BC=EF/x
BC=42/3
BC= 14
Out of 1,200 students, 700 are boys. Therefore, the fraction would be
.
To convert this into a percentage, divide 700 by 1,200.
= 0.583333 (or just 0.583 if you round)
Multiply 0.583
by 100 to get a percentage.
0.583 · 100 =
58.3So, the percent of boys at the school is
58.3%.
Answer: 30 inches
Step-by-step explanation:
20/8 = x/12
20(12) = 8x
240 = 8x = 30
