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Answer:
The length is 2.5 units
Step-by-step explanation:
Before we find the value of the length of the side, we need the measure of the coordinates after dilation
B’ = 1/2 B = 1/2(3,2) = (1.5, 1)
C’ = 1/2 C = 1/2( 0,-2) = (0,-1)
The measure of the length is the distance between the two points
Mathematically, that would be;
D = √(x2-x1)^2 + (y2-y1)^2
D = √(0-1.5)^2 + (-1-1)^2
D = √(2.25 + 4)
D = √6.25
D = 2.5 units
To find the surface area you will need to find the area of all 5 surfaces (faces) on the prism. On a triangular prism there are 2 triangular faces and 3 rectangular faces. All 3 rectangular faces are the same and the 2 triangular faces are also the same.
To find the area of the triangular faces, you will use the formula for finding the area of a triangle:
A = 1/2bh
1/2 x 10 x 8.7
A = 43.5 in^2
To find the area of the rectangular faces, you will use the formula for finding the area of a rectangle:
A = bh
10 x 3
A = 30 in ^2
30 + 30 + 30 + 43.5 + 43.5 = 177
The minimum amount of wrapping paper needed for the gift is 177 square inches.
Answer:
74
Step-by-step explanation:
Say that arc JL going through M is arc E and JL going the other way is arc D
For the angle formed by two tangents, K=(1/2)(E-D)
64=E-D
Furthermore, angle K and central angle JCL (facing toward K) are supplementary, so 180-K=JCL=180-32=148
Thus, as the angles around angle C add up to 360, angle JCL (facing toward M) is 360-148=32+180=212
E is then 212
64=212-D
212-64=D=148
Thus, as JML is an inscribed angle, M=1/2(D)=1/2(148)=74