March 25th - 2

010

1. 3/2 or 1.52. √50 or 5√2 or 7.073. 134. Yes, Raeti of the areas is 4:15. Radius = 6.795 or 6.806. Total Area of the region = 385.46 in2

7. Ratio (Scale Factor) 3:4 or 4:38. X = 129. X = 12.610.3.511.R = 4.2412.X =4

1) A photo measuring 8 inches by 10 inches was enlarged to be 12 by 15 inches. What scale factor was used to enlarge this photo?

810

12

15

8 10

12 15= =

2

3= 1.5

2) A square has the side measure of 5 cm. What is the length of the diagonal?

5

5

52 + 52 = x2

Pythagorean Theorem

25 + 25 = x2

50 = x2√ √x = 7.07

3) A cube has a surface area of 1014 square inches. What is the length of each side of the cube?

S.A. = 1014

√ 169 = 13

1014 ÷ 6 = 169

How many faces does a cube have??

4) One isosceles triangle has an altitude of 8 in and a base of 12 in. Another isosceles triangle has a leg of 20 inches and a base of 24 inches. Are the triangles similar? What is the ratio of the areas of the triangles?

12

8

4) One isosceles triangle has an altitude of 8 in and a base of 12 in. Another isosceles triangle has a leg of 20 inches and a base of 24 inches. Are the triangles similar? What is the ratio of the areas of the triangles?

Answer is 4 : 1

24

(Scale factor)2

1= Scaled

Original

Area Ratio Area

5) The volume of a cone is 240 cubic centimeters, and its height is 5 centimeters. What is the radius of the cone, to the nearest hundredth? V = 1πr2h

3

240 = 1πr2(5)3

33

720 = 1πr2(5)5 5

πr2 = 145

r2 = 46.178

r

= 6.795

6) A figure is composed of a semicircle and a right triangle. The hypotenuse of the right triangle is the same as the diameter of the semicircle. One leg of the right triangle is 10 inches and the other leg is 24 inches. Find the area of the figure to the nearest square centimeter. Show or explain your work.

Area of Δ + Area of

10 24

½

120 + 265.46385.46 in2

Need to find the diameter of the circle

(b)(h) 2

πr2 2 +

What’s the perimeter of pentagon RSTUV?

7) ……………………………………. Lost in transition

16P = 66 P = ?

9)

4 77.2 x=

4x = 50.4 x = 12.6

9)

from to2 7 = 3.5

10) Find the volume of right cylinder below. If another right cylinder has the same volume but a height of 5 cm, what would its radius measure? (Express in exact value)

V = πr2hV = π32(10)V = 90π

90 π = π(r2)55π = 5π

r = √18 = 4.24

11) In the figure below, < R < V and <S < Q.

a) Explain why Δ RST is similar to ΔVQT. Use at least a couple of geometric theorems or postulates when you state why the triangles are similar.

=~ =~

36.7

6 2

2 x3 6

=

3x = 123 3

x = 42

12)

84

Scaled 4Original

=8

12

=

6

3