Set the number of chickens as x and number of cows as <span>y
</span>so the farmer has total 28 animals
so x+y=28
you know that since the animals are healthy
chickens will have 2 legs and
cows will have 4 legs
the total number of legs are 64
so 2x+4y=64
since you want to find the number of cows
so from the first equation <span>x+y=28
</span>we will get another equation <span>x=28-y
</span>then plug into <span>2x+4y=64
2(28-y)+4y=64
56-2y+4y=64
56+2y=64
-56 -56
2y=8
y=4
</span>
Answer:
See below in bold.
Step-by-step explanation:
If we draw a line from the point of intersection to the longest side of the rectangle it will meet it at the midpoint.
The same thing will happen when the line is draw to the shortest side.
So the point of intersection is 1/2 * 7 = 3.5 cm from the longest side and 15/2 = 7.5 cm from the shortest side.
Answer:
Step-by-step explanation:
8.7% of 5300 is 461.1
Rounding up to the nearest hundredth gives your answer as
500
Answer:
(c) 13.2
Step-by-step explanation:
The sum of angles in a triangle is 180°, so angle C is ...
C = 180° -A -B
C = 180° -16° -49° = 115°
The measure of side c can be found from the Law of Sines:
c/sin(C) = a/sin(A)
c = a·sin(C)/sin(A) = 4·sin(115°)/sin(16°)
c ≈ 13.2