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1 answer:
Answer:
x = 12.6
Step-by-step explanation:
Sum of measure of all the arcs of a circle = 360°
m(arc CD) + m(arc CED) = 360°
Since, m(arc CED) = (20x)°
And m(arc CD) = (8x + 6)°
By substituting these measures in teh expression,
(20x)° + (8x + 6)° = 360°
(20x + 8x) + 6 = 360
28x = 360 - 6
28x = 354
x =
x = 12.64
x = 12.6
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Answer:
r=6
Step-by-step explanation:
The area of a circle is given by πr². Note that this uses the radius, not the diameter.
Now, one quarter of this area (ABC) is given to be 9π.
So apparently:
If you solve this:
(divide both sides by π)
(multiply both sides by 4)
so
r = √36 = 6
so the radius is 6.
Answer:
- 880 lbs of all-beef hot dogs
- 2000 lbs of regular hot dogs
- maximum profit is $3320
Step-by-step explanation:
We can let x and y represent the number of pounds of all-beef and regular hot dogs produced, respectively. Then the problem constraints are ...
- .75x + 0.18y ≤ 1020 . . . . . . limit on beef supply
- .30y ≤ 600 . . . . . . . . . . . . . limit on pork supply
- .2x + .2y ≥ 500 . . . . . . . . . . limit on spice supply
And the objective is to maximize
p = 1.50x + 1.00y
The graph shows the constraints, and that the profit is maximized at the point (x, y) = (880, 2000).
2000 pounds of regular and 880 pounds of all-beef hot dogs should be produced. The associated maximum profit is $3320.
