Spinning the first and second spinner will give 5 and 7 outcomes, respectively. To determine the total combinations or total outcome if these two are spun, use the <em>Fundamental Principles of Counting</em>. The total outcome is the product of the two outcomes. Thus, the answer is 35.
The answer is 60... Draw a rectangle. Now draw a line that splits the bottom left corner in two but also cuts the long side on the top in half. A rectangle has 4 right angles right? So the bisector, or a line that splits something in half, splits the right angle, a 90 degree angle, in half making it a 45 degree angle. Did you notice the bisector made a triangle?
A triangle has angle measures that always add up to 180 degrees. So you know that triangle has two angles: a 45 and 90 degree angle... Add those up and you get 135. 180-135 gives you the other angle: 45 degrees...
So you know that the triangle is a 45-45-90 triangle... The two legs or side lengths that I marked on the triangle with a small line are congruent in a 45-45-90 triangle and since the short leg of the rectangle is equal to 10cm and the split in half long side of the rectangle is also 10 which you double to 20. 20+20+10+10=60.
Answers:
- 1) 7.35
- 2) 1.13
- 3) 2.82
- 4) 8.98
- 5) 9.37
- 6) 7.80
- 7) 4.78
- 8) 9.25
- 9) 4.73
- 10) 6.78
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Explanation:
The hundredth decimal place is two spots to the right of the decimal
For instance, the digit 5 is in the hundredths place for 7.3547
Since the next digit over is not 5 or larger, this means we just keep 7.35 and ignore everything else. We don't round up.
Something like 1.1295 becomes 1.12 after we drop everything after the '2', but we round up to 1.13 because of that 9 being five or larger.
The other 8 problems are handled in a similar fashion.
