Answer:
m = -6
Step-by-step explanation:
3m= 5(m + 3)-3
Distribute
3m = 5m +15 -3
Combine like terms
3m = 5m +12
Subtract 5m
3m-5m = 5m+12-5m
-2m = 12
Divide by -2
-2m/-2 = 12/-2
m = -6
Answer:
e < 2
Step-by-step explanation:
Given
e - 2 < 0 ( ad 2 to both sides )
e < 2
Answer:
187.06 units²
Step-by-step explanation:
Area of kite:
½ × d1 × d2
½d1 = 18sin(30)
½d1 = 9
d1 = 18
d2 = 9/tan(60) + 18cos(30)
= 12sqrt(3)
Area = ½ × 18 × 12sqrt(3)
108sqrt(3) units²
187.0614872 units²
Answer:
91.4 meters
Step-by-step explanation:
From the question:
1 yard = 0.914 meter
100 yards = x meters
x meter = 100 × 0.914 meters
x = 91.4 meters
Therefore, Nicholas sprinted 91.4 meters
Answer:
3 inches
Step-by-step explanation:
We can use proportions to solve. Put the map on top and the real life size on bottom.
1 inch x inches
------------- = -------------
4 ft 12 ft
Using cross products
1 * 12 = 4 * x
Divide each side by 4
12/4 = 4x/4
3 =x
3 inches
