Answer is 2-2/3 dozen apples, or 2.66 dozen as a repeating fraction.
Step by step
we know 2 dozen apples is 24 apples
We know 24 apples per 3 pies
To get the rate per pie, divide 24 apples per 3 pies
24/3 = 8 apples per pie
Now multiply 8 apples x 4 pies = 32 apples
Now we need to answer in how many dozen apples. Divide 32 by 12 (1 dozen)
Answer is 2.66 dozen apples or 2-2/3 dozen apples
Is there a picture for this?
Answer:
See below
Step-by-step explanation:
<u>Given a polygon with vertices</u>
- A(-6, 5), B(-6, 2), C(-2, 2), D(-2, 6)
<u>Translation rule is</u>
<u>New coordinates are</u>
- A' = (-6 + 5, 5 - 4) = (-1, 1)
- B' = (-6 + 5, 2 - 4) = (-1, -2)
- C' = (-2 + 5, 2 - 4) = (3, -2)
- D' = (-2 + 5, 6 - 4) = (3, 2)
Answer:
-1/3
Step-by-step explanation:
First, slope is change in y over change in x, or rise over run. Plugging these points in, (y2-y1)/(x2-x1)=(6-4)/(2-8), or 2/-6, simplifying, the slope= -1/3.
Recall the angle sum identities:
cos(a + b) = cos(a) cos(b) - sin(a) sin(b)
cos(a - b) = cos(a) cos(b) + sin(a) sin(b)
sin(a + b) = sin(a) cos(b) + sin(b) cos(a)
sin(a - b) = sin(a) cos(b) - sin(b) cos(a)
Notice that adding the first two together, and subtract the last from the third, we get two more identities:
cos(a + b) + cos(a - b) = 2 cos(a) cos(b)
sin(a + b) + sin(a - b) = 2 sin(b) cos(a)
Let a = 4x and b = x. Then
cos(5x) + cos(3x) = 2 cos(4x) cos(x)
sin(5x) - sin(3x) = 2 sin(x) cos(4x)
Now,
as required.
