Answer:
4.6 or if you rounded it would be 5
Answer:
Step-by-step explanation:
Given function: 
To find 
, simply input 
into the function:
If you take the amount of green markers and divide them by the total, you come up with 0.21
If you do likewise with the others, you respectively come up with 0.47 and 0.32.
Answer:
Trudy will have 4 pieces of the fabric.
Step-by-step explanation:
Since, 1 foot of the fabric = 12 inches
If Trudy cuts the fabric into pieces of 3 inch.
Number of pieces she will have = 
= 
= 4 pieces
Therefore, she will have 4 pieces of the fabric.
If you learned about the 45-45-90 triangle (which is isosceles), then the faster way is to know that the hypotenuse (side opposite of right angle) is √2 times either one of the sides.
3√2 = (√2)x
x = 3
But if you didn't learn the 45-45-90 triangle yet, that's ok.
Recall the trigonometric ratios for right triangles: sine (sin), cosine (cos), tangent (tan).
If your angle is x, then
sin(x) = opposite side / hypotenuse
cos(x) = adjacent side / hypotenuse
tan(x) = opposite side / adjacent side
Remember the hypotenuse is the side opposite and across from the right angle (3√2 in this case).
An acronym to remember this is SohCahToa.
In this problem, the angle given is 45°, and you need to find the length of the adjacent side x. The hypotenuse is also given as 3√2.
Because we have the adjacent side and the hypotenuse, we use cosine to relate those two sides
cos(45°) = x / (3√2)
x = (3√2)cos45°
If you plug this into your calculator (in degree mode), then
x = 3
