Answer:
In the given circle, segments OA, OB, OC and OD are radius of the circle.
In other words, all those segments are congruent.
From that we can deduct that triangles OAB and OCD are isosceles triangles, because all segments are equal. That makes those triangles congruent, because they have the same sides.
From the congruence we can deduct that all corresponding internal angles inside those triangles are actually congruent, that's why angle OAB and ODC must be congruent.
Also, angles DOC and BOA are also congruent, which means their subtended arcs are also congruent, because they have the same radius, so mAB = mCD.
Answer;
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Step-by-step explanation:
divide each term by y then simplify
Using the given information find the length and width of the base:
Perimeter = 2L + 2W
L = 3W
Replace L in the first equation:
Perimeter = 2(3W) + 2w
96 = 2(3W) +2W
Simplify:
96 = 6W +2W
96 = 8w
Divide both sides by 8:
w = 96 / 8
w = 12
The width is 12 inches.
The length = 3 x 12 = 36 inches.
Volume = L x W X H
Volume = 36 x 12 x 14
Volume = 6,048 cubic inches.
Answer:
The minimum cost per unit is obtained for an order of 8 units.
Step-by-step explanation:
Since the total cost is modeled by;
C(x)=5x²+320
Then;
1 unit costs; C(x)=5(1)²+320 = 325
cost per unit 325/1 = 325
8 units costs; C(x)=5(8)²+320 = 640
cost per unit = 640/8 = 80
80 units costs; C(x)=5(80)²+320 = 32320
Cost per unit = 32320/80 = 404
The minimum cost per unit is obtained for an order of 8 units.
Answer:
Step-by-step explanation:
The 3 angles must add up to 180. So
6x + 4x + 2x = 180
12x = 180
x = 15
Plug this into all the angles and you have your answers
