Please help me with #13 and #14! Please explain how you did it! Thanks!
2 answers:
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Answer:
Step-by-step explanation:
1) Tangent makes 90 degrees with the radius. Hence
a) Angle ABD = 90-angle BDC = 90-61.3 = 28.7
b) Triangle BCD is isosceles since tangents have equal length.
Hence angle BCD = 180-(61.3+61.3) = 57.4
c) Angle BDC = 57.4 (since triangle BCD is isosceles)
d) Angle BAC and Angle BCD are supplementary. Hence angle BAC = 122,6
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2) Arc length of minor arc BC =
b) ARc length of minor arc = circumference -minor arc
= 18.713
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3) circumference = pi d =
To get the perimeter of the trapezoid, we will add the lengths of the 4 sides together.
So, first we will need to get the length of each side.
Base of trapezoid = 8 - 2 = 4 units
The upper edge of the trapezoid = 6 - 4 = 2 units
Now, for the two side edges, we can note that they are both equal. So, we need to get only one length (as the other would be the same). I will get the length of the left side.
Coordinates of the start point are (2,4) which represent (x1,y1)
Coordinates of the end point are (4,9) which represent (x2,y2)
To get the distance between the two points, we will use the rule attached in the image below as follows:
distance = sqrt ((4-2)^2+(9-4)^2)
distance = √29
Therefore, each of the side edges equal √29 units
From the above, we can now easily get the perimeter as follows:
perimeter = 6 + 2 + √29 + √29
perimeter = 8 + 2√29 units
Based on the above calculations, the best choice would be:
D. 8 + 2√29 units
So, first we will need to get the length of each side.
Base of trapezoid = 8 - 2 = 4 units
The upper edge of the trapezoid = 6 - 4 = 2 units
Now, for the two side edges, we can note that they are both equal. So, we need to get only one length (as the other would be the same). I will get the length of the left side.
Coordinates of the start point are (2,4) which represent (x1,y1)
Coordinates of the end point are (4,9) which represent (x2,y2)
To get the distance between the two points, we will use the rule attached in the image below as follows:
distance = sqrt ((4-2)^2+(9-4)^2)
distance = √29
Therefore, each of the side edges equal √29 units
From the above, we can now easily get the perimeter as follows:
perimeter = 6 + 2 + √29 + √29
perimeter = 8 + 2√29 units
Based on the above calculations, the best choice would be:
D. 8 + 2√29 units