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Harman [31]
3 years ago
5

The picture shows a feeding trough that is shaped like a right prism. (Picture is shown at the bottom!!)

Mathematics
1 answer:
AlexFokin [52]3 years ago
4 0
Height of the trapezoids = sqrt (17^2 - 8^2) = 15cms
base = 19 cms

(b) area of each trapezoid =  15/2 (35 + 19) =  405 cm^2

Total area painted blue = 2*405 = 810 cm^2

(c)  length of the edges of one trapezoid = 35 + 19 + 2(17) = 88 cms
So one piece of  sandpaper ( can sand up to 80 cm) will not be enough to sand all of the edges.
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Find the measure of the missing angles in the regular polygon below.
Andrews [41]

Step-by-step explanation:

First, we can see that the angles inside the polygon form a full circle, as it goes fully around. Therefore, the sum of the angles around the center of the circle (such as m < 7) is 360 degrees. Since it is a regular polygon, and the lines are going from the center to its corners, the 6 angles directly surrounding the center are equal.

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For m<8, we can see that a line bisects one of the 6 angles surrounding the center. Therefore, m<8 is 1/2 of the angle it bisects, which is equal to 360/6 = 60 degrees, and m<8 = 60/2 = 30 degrees

Finally, we can see that there are 6 sides of the polygon. For a polygon with n number of sides, the sum of its interior angles is equal to (n-2) * 180. Here, there are 6 sides, so the sum of this polygon's interior angles is (6-2) * 180 = 4 * 180 = 720. Because this is a regular polygon, each interior angle is the same, and because there are 6 of them, each one is 720/6 = 120 degrees. As shown in the picture, m < 9 is seemingly one-half of an interior angle, as it is bisected by a line from the center to a corner.

Therefore, m <9  = 120 /2 = 60 degrees

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3 years ago
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