Type the correct answer in each box. The value of x is °, and the value of y is °.
1 answer:
Answer:
<h2>x = 60°, y = 50°</h2>Step-by-step explanation:
We know: the angles measures in a triangle add up to 180°.
<em>(look at the picture)</em>
z + 50 + 60 = 180
z + 110 = 180 <em>subtract 110 from both sides</em>
z = 70°
x + 50 + 70 = 180
x + 120 = 180 <em>subtract 120 from both sides</em>
x = 60°
Angles x, y and z are on one side of a straight line. Therefore they add to 180°.
x + y + z = 180
60 + y + 70 = 180
y + 130 = 180 <em>subtract 130 from both sides</em>
y = 50°
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Answer:
The dimensions of the can that will minimize the cost are a Radius of 3.17cm and a Height of 12.67cm.
Step-by-step explanation:
Volume of the Cylinder=400 cm³
Volume of a Cylinder=πr²h
Therefore: πr²h=400
Total Surface Area of a Cylinder=2πr²+2πrh
Cost of the materials for the Top and Bottom=0.06 cents per square centimeter
Cost of the materials for the sides=0.03 cents per square centimeter
Cost of the Cylinder=0.06(2πr²)+0.03(2πrh)
C=0.12πr²+0.06πrh
Recall:
Therefore:
The minimum cost occurs when the derivative of the Cost =0.
r=3.17 cm
Recall that:
h=12.67cm
The dimensions of the can that will minimize the cost are a Radius of 3.17cm and a Height of 12.67cm.