Answer:
the answer is 71/12 or 5 and 11/12
Step-by-step explanation:
8x12= 96
96+8= 104
104/12= 8 8/12
2x4=8
8+3=11
11/4= 2 3/4
11/4 x 3/3= 33/12
104/12-33/12= 71/12 or 5 11/12
Subtract the sum of the known sides from the perimeter to find the length of the missing side.
Answer:
6 Chickens
Step-by-step explanation:
Let H represent the number of horses and C represent the number of chickens. Since there are 32 legs altogether this means that on equation to use would be given by:
2C + 4 H = 32 (Eq. 1)
Another equation can be made from the fact that there are 11 heads or 11 animals altogether which can be written as:
C + H = 11 (Eq. 2)
From Eq. 2, solve for the number of chickens:
C + H = 11
C = 11 - H (Eq. 3)
Substituting Eq. 3 in Eq. 1, the number of horses can be determined:
2 C + 4 H = 32
2 ( 11 − H ) + 4 H = 32
22 − 2 H + 4 H = 32
2H = 32 − 22
2 H = 10
H = 5 Eq.4
Putting Eq.4 in Eq.1
2C + 4*5 = 32
2C = 32 - 20
2C = 12
C = 12/2
C = 6
In the figure below
1) Using the theorem of similar triangles (ΔBXY and ΔBAC),
Where
Thus,
thus, BC = 7.5
2) BX = 9, BA = 15, BY = 15, YC = y
In the above diagram,
Thus, from the theorem of similar triangles,
solving for y, we have
thus, YC = 10.
Answer: Choice D
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Explanation:
The formula for the surface area of a cylinder is
We then replace r with 10 and h with 25. Keep in mind that the diameter is 20 mm, so the radius is half that at 10 mm.
So that's how we get to
