Chapter 11 - Ratios and Rates

Question 1

What is Simplifying equivalent fractions?

Answer 1

Large ratios converted to smaller ones like:
18:12 to 6:4.

Question 2

What is the unitary method?

Answer 2

Finding one unit.
Boys:Girls
2:3
10 boys so 10 ÷ 2 = 5
5x3 = 15
15 girls.

Question 3

What is does the map scale 1:200 mean?

Answer 3

1 unit on map to 200 units in real life.

Question 4

What is the rule for maps?

Answer 4

distance -> multiply -> actual distance
actual distance -> divide -> distance

Question 5

What is the rule for converting cubed and squared units?

Answer 5

Do normal conversions and square them so when doing
10 cubed metres to _ cm cubed. So you do m -> cm and it is 100, cube that and you get it.
100m cubed equals 10,000,000cm cubed

Question 6

1cm cubed to mL

Answer 6

1mL

Question 7

1m cubed to L and kL

Answer 7

1000L and 1kL

Question 8

What is Pythagoras’s theorem?

Answer 8

a² + b² = c²

Question 9

What is Heron’s formula?

Answer 9

___________________________________________
A = ✓ S x (S - a) x (S - b) x (S - c)

S = ½ x (a + b + c)

Question 10

What is Heron’s formula used for?

Answer 10

Heron’s formula helps calculate the area of a triangle when the lengths of all three sides are known.

Question 11

What is exact form?

Answer 11

When the radius is 3, 3² = 9. =9π

so doing the rest of the formula and leaving the answer next to pie.