Question

7.riley is placing the game board shown on his bedroom wall. What area of the wall will the game board cover? Use 3.14 for π and round to the nearest whole square foot. A) 2 ft2 B) 3 ft2 C) 5 ft2 D) 6 ft2

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8.jennifer has a map of Yellowstone National Park. The scale on this map is 1 cm = 9.8 miles. Jennifer measured some distances on the map. What is the actual distance from Old Faithful to West Thumb? A) 22.54 miles B) 24.5 miles C) 27.44 mile
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10.angles b and c are called ____________ angles. A) complementary B) linear C) supplementary D) vertical

Answer 1

Explanation:

7). Since, game board is circular in shape,

Area of the game board = πr²

Here r = radius of the circle

And Radius of a circle =
`(1)/(2)(\text{Diameter})`

Therefore, radius of the circle =
`(2.5)/(2)` = 1.25 ft

Area of the game board = π(1.25)²

= 3.14(1.25)²

= 4.91

≈ 5 ft²

Option C is the answer.

8). Scale on he map is,

1 cm = 9.8 miles

Distance between Old faithful and West Thumb = 2.5 cm

By using scale,

2.5 cm = 2.5 × 9.8 miles

= 24.5 miles

Therefore, actual distance between Old faithful and West Thumb = 24.5 miles.

9). From the given picture angles b and c are Vertically opposite angles.

Therefore, these angles are vertical angles.

Option D is the answer.