Answer:
A. 7√3 in
Step-by-step explanation:
We first have to draw out the altitude on the triangle. When we do so, we should see that we will get 2 congruent 30-60-90 triangles. From there, our <em>h</em> height is <em>x</em> and we use tan∅ to solve:
tan60° = x/7
x = 7tan60°
x = 7√3
Total gallons needed
1 gallon / 30 miles * 200 miles = 20/3 gallons = 6.67 gallons
<span>gallons used so far : </span>
1 gallon / 30 miles * 50 miles = 5/3 gallons = 1.67 gallons
<span>remainder : </span>
<span>20/3 - 5/3 = 15/3 = 5 gallo</span>
Answer:
Step-by-step explanation:
It is 191 remainder 3
Answer:
m = 
Step-by-step explanation:
g = 10(
)
simplify:
g = 
multiply both sides by s²:
gs² = 10m
divide both sides by 10:
m =
Step-by-step explanation:
since in a triangle each side must be shorter than the sum of the other 2 sides (otherwise the end points cannot connect, and there is no triangle), the necessary inequality condition must be
side < 1 + 2 = 3
so,
side < 3
for a lower limit let's go through the cases
1 < 2 + side (is always true)
2 < 1 + side
1 < side (side must be larger than 1)
and again
side < 1 + 2 = 3
side < 3
so the full restriction for the third side is
1 < side < 3
