First find the area of the triangle (on top) and then subtract the area of the circle (on bottom) since the triangle is Equilateral, you can assume that the height can be found by using the 30 60 90 angle relationship. To find the radius of the circle, divide the height by 2.
Answer:
=0.3 per km²
Step-by-step explanation:
Population density is the population per uni area.
Area=πr² Where A is area and r is the radius of the circle.
A=3.14×34
=106.76km²
Population density = Population/Area
=32 antelopes/106.76 km²
=0.3 per km²
The population of antelopes within the given radius is 0.3 per km²
Answer:
We have that y = 21 when x = 11.
Step-by-step explanation:
We solve this question by proportions, using a rule of three.
Since they vary inversely, we apply the inverse rule of three, that is, with lateral multiplication instead of diagonal.
33 - 7
y - 11
So
11y = 33 -7
y - 11
Dividing both sides by 11
Y = 3 * 7 = 21
We have that y = 21 when x = 11.
ceiling(700/40) = ceiling(17.5) = 18 . . . . ceiling(x) is the smallest integer ≥ x.
The smallest integer multiple of 40 that is larger than 700 is 18.
The number of packages of buns will be 18*5 = 90.
The number of packages of hotdogs will be 18*4 = 72.
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These numbers will ensure that you have 20 bun/hotdog combinations left over. If you want to minimize leftovers, you would use 88 packages of buns and 70 packages of hotdogs. That would give you 4 buns and no hotdogs left over.
