<h3>
Answer: 48</h3>
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Explanation:
Triangle ABC is isosceles because AC = BC.
The angles opposite these congruent sides are angle ABC and angle BAC. These are the base angles.
For any isosceles triangle, the base angles are congruent.
Angle BAC = 69 degrees is given. So angle ABC = 69 as well.
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The missing angle must add to the two other angles so that all three angles in a triangle add to 180
(angle ABC) + (angle BAC) + (angle BCA) = 180
69 + 69 + (angle BCA) = 180
138 + (angle BCA) = 180
angle BCA = 180-138
angle BCA = 42
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Angle DCE is congruent to angle BCA because they are vertical angles.
Triangle DCE is a right triangle. The missing angle is 90-(angle BCA) = 90-42 = 48
angle EDC = 48 degrees
Suface area= 2πrh+2πr²
= 2×3.14×2×15+2×3.14×2²
= 6.28×2×15+6.28×4
=188.4+25.12
=213.52
so Surface area=213.52cm
Answer:
Total number of edges for resulting solid = 12
Step-by-step explanation:
A wooden block measures 2 inches by 2 inches by 3 inches. A wedge is cut off from each corner of the block by slicing at points that are 1 inch from each corner.
We have to find the number of edges in the resulting solid after we cut the edges as told above.
There are two faces along the height which will become sharpened after we take out the cuts.
So the resulting shape would be like that of a cylinder with its both ends pointed.
So total number of edges = 4 + 4 + 4 = 12
Answer:
This may not be the numbers but just follow the way in how i did it hope it helps!!!
Step-by-step explanation:
SA= 2lw x 2lh x 2wh
Length - 5m
Width - 4m
Height - 6m
= 2 (5 x 4)+2 (5 x 6)+2 (4 x 6)
=2 ( 20)+2 (30)+2 (24)
= 40 + 60 + 48
=148
The dimensions of a second rectangular prism that will have the same surface area will be the below:
Length - 6m
Width - 5m
Height - 4m
SA = 2lw + 2lh + 2wh
= 2(6 x 5)+2 ( 6 x 4) +2 ( 5 x 4)
=2(30)+2 (24)+2 (20)
=60 + 48 + 40
= 148
