Answer:
(0,0)
(2,2)
(0,1)
Step-by-step explanation:
All of these points lie inside
36/20 or simplified and as a mixed number would be:
1 and16/20
Given:
Scale of the map 1 1/4cm : 8 yards
Rectangular Park: width : 2 1/2 cm ; length : 6 1/4 cm
Circular Pond: pi = 3.14 ; diameter 1 1/4 cm
Convert mixed factions into fractions.
Scale 1 1/4 = (4*1+1)/4 = 5/4
Width: 2 1/2 = (2*2+1)/2 = 5/2
Length: 6 1/4 = (4*6+1)/4 = 25/4
Diameter: 1 1/4 = (4*1+1)/4 = 5/4
width / scale * 8 yds = width in yards
5/2 ÷ 5/4 = 5/2 * 4/5 = 20/10 = 2 * 8 yds = 16 yds
length / scale * 8 yds = length in yards
25/4 ÷ 5/4 = 25/4 * 4/5 = 100/20 = 5 * 8 yds = 40 yds
Area of a rectangular park = l * w = 40 yds * 16 yds = 640 yds²
diameter / scale * 8 yds = diameter in yards
5/4 ÷ 5/4 = 5/4 * 4/5 = 20/20 = 1 * 8 yds = 8 yds.
radius = d/2 = 8/2 = 4
Area of a circular pond = πr² = 3.14 * 4² = 3.14 * 16yds² = 50.24 yds²
Answer:
27 15/28 degrees
Step-by-step explanation:
Since we are adding 21 1/4 to 6 2/7, we need to find the LCD, or, least common denominator, so that we can add 1/4 and 2/7 together.
1*4=4 1*7=7
2*4=8 2*7=14
3*4=12 3*7=21
4*4=16 <u>4*7=28</u>
5*4=20
6*4=24
<u>7*4=28</u>
Since we had to multiply 7 four times to get it equal to 28, we need to take 2/7 * 4/4. This will give you 8/28. Then, since we multiplied 4 seven times to get it equal to 28, we need to take 1/4 *7/7. This will give you 7/28. Finally, you need to add 8/28 and 7/28 since they now share the same denominator.
8/28 + 7/28=15/28
For our last step, we need to add the whole numbers together so the answer is complete.
21+6=27
27+15/28= 27 15/28 degrees
