Austin keeps a right conical basin for the birds in his garden as represented in the diagram. the basin is 40 centimeters deep, and the angle between the sloping sides is 77°. what is the shortest distance between the tip of the cone and its rim?

42.4 cm

Step-by-step explanation:

The attached diagram is the cut-section of the right conical basin.

The basin is 40 centimeters deep i.e the height of the conical basin is 40 cm.

The angle between the sloping sides is 77° i.e m∠A = 77°

As ΔABC is an isosceles triangle, so

As sum of measurements of all the angles in any triangle is 180°, so

In right angle triangle ABD,

cm

This is the slant height or the shortest distance between the tip of the cone and its rim.

the slope of the line is 60

one point on the line is (40,10)

step-by-step explanation:

in the equation outside the parenthesis the equation always tells you the slope. in this case it is 60.

in the parenthesis is also says 40 which is x because it is near the x and 10 is y because it is near y.

first, we define the variables:

x: number of years after 1950

f (x): amount of vinyl sold.

then, with the variables defined, we have:

68594 vinyl records were sold in 1958 > f (8) = 68594

91299 vinyl records were sold in 1961 > f (11) = 91299

38720 vinyl records were sold in 1952 > f (2) = 38720

161743 vinyl records were sold in 1967 > f (17) = 161743

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step-by-step explanation: