Question

can someone check my work :)

Answer 1

Question 1 (Multiple Choice Worth 5 points)

(03.01 LC)

What is the length, in units, of the hypotenuse of a right triangle if each of the two legs is 2 units?

4 units
2 units
Square root of 6 units
Square root of 8 units

Question 2 (Multiple Choice Worth 5 points)

(03.02 LC)

The legs of a right triangle are 3 units and 6 units. What is the length of the hypotenuse? Round your answer to the nearest hundredth.

5.20 units
6.71 units
9.00 units
18.00 units

Question 3 (Multiple Choice Worth 5 points)

(03.02 LC)

Sylvia calculated the missing side length of one of these triangles using the Pythagorean Theorem. Which triangle is it?

Four triangles A, B, C, D are shown from left to right. Triangle A has two sides labeled 2 each, and the included acute angle is shown. Triangle B has one side labeled as 2 and the other as 3, and the included obtuse angle is shown. Triangle C has one side labeled as 4 and the other as 2, and the included right angle is shown. Triangle D has one side labeled as 6 and the other as 7, and the included acute angle is shown.

A
B
C
D

Question 4 (Multiple Choice Worth 5 points)

(03.02 MC)

The figure shows the location of three points around a lake. The length of the lake, BC, is also shown.

(The figure is not drawn to scale.)

A picture of a right triangle ABC with right angle at B is shown. The length of the side AC is labeled as 6 miles. The length BC of the triangle is labeled as 4 miles. This length BC is also the length of an irregular gray shaded shape.

Which of the following choices is closest to the distance (in miles) between points A and B?

3.16 miles
3.46 miles
4.47 miles
4.90 miles

Question 5 (Multiple Choice Worth 5 points)

(03.01 LC)

The leg of a right triangle is 2 units and the hypotenuse is 3 units. What is the length, in units, of the other leg of the triangle?

Square root of 5 units
Square root of 13 units
5 units
13 units

Question 6 (Multiple Choice Worth 5 points)

(03.05 MC)

Gary used candle molds, as shown, to make candles that were perfect cylinders and spheres:

A cylindrical mold is shown, the radius of the top circular section of the cylinder is labeled 2 inches and the height of the cylinder is labeled as 4 inches. On the right side of this mold is a spherical mold. The radius of this spherical mold is labeled as 2 inches.

What is the approximate difference in the amount of wax needed to make a candle from each of these molds? Use π = 3.14.

16.75 cubic inches
20.93 cubic inches
24.25 cubic inches
33.49 cubic inches

Question 7 (Multiple Choice Worth 5 points)

(03.05 LC)

What is the volume of a cone (in cubic inches) with a radius of 2 inches and a height of 3 inches?

Use 3.14 for π. Round your answer to the nearest hundredth.

12.56 cubic inches
25.12 cubic inches
37.68 cubic inches
56.52 cubic inches

Question 8 (Multiple Choice Worth 5 points)

(03.06 LC)

The volume of a cone is 62.8 cubic inches. The height of the cone is 15 inches. What is the radius of the cone, rounded to the nearest inch? Use π = 3.14.

2 inches
4 inches
8 inches
9 inches

Question 9 (Multiple Choice Worth 5 points)

(03.01 HC)

Triangle STU is formed by the three squares D, E, and F:

A right triangle STU is shown. On the side ST of this triangle is a square. Inside the square is written Square D, Area equal to 36 square units. On the side TU of this triangle is another square. Inside the square is written Square E, Area equal to 64 square units. On the side SU of this triangle is another square. Inside the square is written Square F, Area equal to 100 square units.

Which statement best explains the relationship between the sides of triangle STU?

ST + TU = SU, because 36 + 64 = 100
(ST)2 + (TU)2 = (SU)2, because 102 + 62 = 82
ST + TU = SU, because 102 + 62 = 82
(ST)2 + (TU)2 = (SU)2, because 36 + 64 = 100

Question 10 (Multiple Choice Worth 5 points)

(03.03 LC)

Look at points C and D on the graph:

Coordinate grid shown from negative 6 to positive 6 in increments of 1 on both the axes. A line is drawn by connecting point C at negative 2, 0 and point D at 2, 4.

What is the distance (in units) between points C and D? Round your answer to the nearest hundredth.

2.83 units
4.00 units
5.66 units
8.00 units

Question 11 (Multiple Choice Worth 5 points)

(03.03 MC)

The map shows the location of the airport and a warehouse in a city. Though not displayed on the map, there is also a factory 72 miles due north of the warehouse.

Coordinate grid shown from negative 54 to positive 54 on x axis at intervals of 9 and negative 54 to positive 54 on y axis at intervals of 9. A straight line is shown between the points labeled Airport and Warehouse. Airport is the ordered pair negative 27, 36, and Warehouse is the ordered pair 27 and negative 36. A signage showing directions North, South, East, and West is shown in the empty quadrant on the graph.

A truck traveled from the warehouse to the airport and then to the factory. What is the total number of miles the truck traveled?

54 miles
72 miles
144 miles
162 miles

Question 12 (Multiple Choice Worth 5 points)

(03.02 MC)

What is the length of the third side of the window frame below?

(Figure is not drawn to scale.)

A picture of a right triangular window frame is shown. The longest side has length labeled as 58 inches. The height of the frame is labeled as 42 inches.

16 inches
20 inches
40 inches
50 inches

Answer 2

my answers:
1: B
2. B
3. C
4. C
5. C
6. D
7. A
8. B
9. D
10. C
11. D
12. B

Answer 3

@steve816