Answers: See each part below.
1) The scale factor on Map 1 is 1cm = 2 km. It is given in the key in the bottom right corner.
2) The length of the trail would be 16 km. Since each cm is 2 km, we multiply the 8 by 2 to get a total of 16.
3) The scale factor from the first map to the second map is 0.75. To find this we can write and solve the following equation to determine the change from Map 1 to Map 2.
8k = 6
k = 0.75
4) To find the lengths of the sides of the landmark, just change the mm into cm and use the scale factor for each.
5 mm is 0.5 cm. 0.5 x 2 = 1 km
3 mm is 0.3 cm. 0.3 x 2 = 0.6 km
4 mm is 0.4 cm. 0.4 x 2 = 0.8 km
Answer:
0.33
Step-by-step explanation:
Answer:
True False True
Step-by-step explanation:
1. A circle has 360 degrees in its interior. 360 - 130 (this is given) degrees = 230 degrees. This means it's TRUE
2. The area of the shaded sector is the degrees in the central angle that contains the sector, multiplied by the area of the circle. This means that the area is pi*r^2*angle. The radius is 10, and the angle is 230 degrees, so the answer is 100*230/360 pi = 23000/360 pi, which simplifies to 575/9 pi. This is FALSE.
3. The area of the shaded sector is area of the circle - area of the shaded sector. The area of the circle is pi r^2, which is 100 pi. 100 pi - 575/9 pi = 325pi/9, so this is TRUE
You save $52 because a pair of tires is 2 tires. If $216 is for 2 tires, it is $432 for 4 tires. The managers special is $380 for 4 tires so, do $432-$380 and you get $52.
7y + 2x - 10y + 3x² - 10x
3x² - 10x + 2x + 7y - 10y
3x² - 8x - 3y