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Complete Question
Major arc CBD measures 300°. Which is the radian measure of its corresponding central angle?
a)4pi/3 radians
b) 5pi/6 radians
c) 5pi/3 radians
d) 11pi/6 radians
Answer:
c) 5pi/3 radians = 5π/3 radians
Step-by-step explanation:
The corresponding central angle can be defined as the angle that is formed when there is a joining together of two radii at the center of the circle.
The circumference of a circle is given as
360° = 2πr
The major arc CBD is 300°
Therefore,
360° = 2πr , radius is not given hence , 360° = 2π
300° = Y (Unknown)
Cross multiply
360Y= (300× 2π)
Y = 600π ÷ 360
Y = (5π÷ 3) radians
Y = 5π/3 radians
Hence the radian measure for the corresponding angle is = 5π/3 radians
Given that t<span>he x-axis represented the number of small tanks and the y-axis represented the number of large tanks.
Given that </span>h<span>is small tanks would require 2 oz of conditioner and his large tanks would require 6 oz of conditioner and there are a total of 72 oz of water conditioners available.
The line representing the various combinations of </span>tanks he could put the water conditioner into is given by 2x + 6y = 72.
Since, t<span>he manager labeled only the intercepts.
The x-intercept is the value of x when y = 0 and is given by
2x + 6(0) = 72
x = 72 / 2 = 36
Thus, the x-intercept is (36, 0)
</span>
<span>The y-intercept is the value of y when x = 0 and is given by
2(0) + 6y = 72
y = 72 / 6 = 12
Thus, the x-intercept is (0, 12)
Therefore, the points labeled by the manager are: (0, 12) and (36, 0)
</span>
<span>D. Let x represent the number of trays of dog bone treats made and y represent number of trays of oatmeal dog treats made.</span>
Lets split the box in pieces and then add:
top = 20*15 = 300
sidesA = 2*20*9 = 360, is multiplied by 2 cause there are 2 sides like this
sidesB = 2*9*15 = 270, is multiplied by 2 cause there are 2 sides like this
so in total we have:
total = 300 + 360 + 270 = 930 cm^2
if we express this quantity in mm^2 we have:
<span>1cm² = 100 mm²</span>total = 930*100 = 93000 mm^2
so if the tiles are 5 mm^2 we need:
total tiles = <span>93000/5 = 18600
we need 18600 tiles of 5 mm^2</span>
