Each coin can have the outcomes heads (H) or tails (T).
The spinner can have the outcomes 1, 2, 3.
The total number of outcomes is the product of the individual numbers of outcomes.
2 * 2 * 3 = 12
Here's a way of thinking about it:
The coins can have these four outcomes:
HH
HT
TH
TT
For each of the 4 outcomes of the two coins, there are 3 different outcomes of the spinner, so the total number of possible outcomes is 4 * 3 = 12.
First find the area of the sector of 150 degrees:
150/360 x PI * 27.8^2 = 1011.6452 in^2
Now find the area of the triangle formed by the 150 degrees and the radius 27.8
first find the length of the chord ( the base of the triangle)
c^2 = 27.8^2 + 27.8^2 - 2 * 27.8 * cos(150) = 53.71
now find the height by using half the chord length as the base and using the Pythagorean theorem:
26.855^2 - 27.8^2 = height^2
height = 7.19
The area of the triangle is 1/2 x base x height = 1/2 x 26.855 x 7.1952 = 96.605
multiply by 2 because we made 2 right triangles: 96.54 x 2 = 193.21 square inches.
Now the area of the shaded region is the area of the sector minus the area of the triangle:
1011.6452 - 193.21 = 818.4352
Rounded to nearest tenth = 818.4 in^2
Answer:
552,299
500,000
50,000
500,000 is 10 times greater than 50,000
50,000 is 10 times less than 500,000
Step-by-step explanation:
This requires 2 pints of oil.
Using a proportion to solve this, we have:
Cross multiplying, we have
1/2*10 = (2 1/2)*x
5 = (2 1/2)x
Divide both sides by 2 1/2:
5÷(2 1/2) = (2 1/2)x÷(2 1/2)
2 = x
If the equation is -2y=0, you have to add the the -2y to the other side, so it turns out to be 0=+2y.
