Is it more to this question like numbers or something I don’t really understand
Rounding a number means to change its value slightly so it is not as exact as the original number. Numbers are rounded to a certain place value - tens, hundreds, thousands. etc..
Numbers are rounded to make it easier to do various math processes such as estimating costs in one's head or dividing larger numbers.
RULE: To round a two digit number or higher number to the nearest tens place:
If the number in the ones place of a two digit number is less than five, round the number down to the nearest tens place. If the number in the ones place is greater than five, round it up to the nearest tens plac.
Example 1: Round 23 to the nearest tens place
The number 3 in the ones place is less than five. Therefore the number 23 is rounded down to 20.
23 rounded to the nearest tens place is 20.
Example 2: Round 28 to the nearest tens place.
The number 8 in the ones place is greater than five. Therefore the number 28 is rounded up to 30.
28 rounded to the nearest tens place is 30.
Example 3: Round 94 to the nearest tens place.
The number 4 in ones place is less than five. Therefore the number 94 is rounded down to 90.
94 rounded to the nearest tens place is 90.
Example 4: Round the number 97 to the nearest tens place.
This one is tricky. The number 7 in the ones place is greater than five. Therefore the number 97 is rounded up to 100.
97 rounded to the nearest tens place is 100.
This game isn't too bad.
We have a proportion which represents another number.
Basically the problem states that the ratio:
22/40 is applicable to the ratio of:
# Wins / # Games
I'll represent the # Wins with the letter W.
and I'll represent the # of Games with the letter G.
So we simply set them equal to each other.
22/44 = W / G
They gave us G = 162 games
22 / 44 = W / 162
Cross multiply. So, the denominator on the left side of the equation will multiply with the numerator on the right. While the denominator on the right multiplies with the numerator on the left.
44*W = 22*162
You'll probably need a calculator for 22*162, but you can use long multiplication if it isn't allowed.
44W = 3564
Divide 44 on both sides.
W = 3564 / 44
W = 81
C. 81 is our answer!
Answer:
A. 13.31' to the nearest hundredth.
B. 86.52' to the nearest hundredth.
Step-by-step explanation:
Part A>
The apotherm of a regular polygon is the distance of the line segment from the centre of the polygon to the midpoint of a side.
2 radii of this decagon joined to the endpoints of a side form an isosceles triangle with equal sides = 14 cm.
The apotherm is the altitude of this triangle. The vertex of the triangle has an angle of 360 / 10 = 36 degrees and the apotherm bisects this angle.
So using trigonometry on the right triangle formed:
cos 18 = x / 14 where x is the apotherm.
x = 14 cos 18
= 13.31' (answer).
Part B.
Using trigonometry on the right triangle again:
sin 18 = x/2 / 14 (where x is the length of a side of the hexagon)
x/2 = 14 sin 18
x = 2 * 14 sin 18
= 8.652'.
As a decagon has 10 sides the perimeter = 8.652 * 10
= 86.52' to the nearest hundredth.
