Answer:
LA = 96
SA = 108
Step-by-step explanation:
The lateral surface area is the area of the sides (not including the bases). For a triangular prism, the bases are the triangles.
The sides consist of three rectangles. The vertical rectangle is 3 by 8 units. The horizontal rectangle is 4 by 8 units.
The slanted rectangle has a length of 8 units, but we don't know the width. To find that, we use Pythagorean theorem to find the hypotenuse of the triangles.
c² = a² + b²
c² = 3² + 4²
c = 5
So the lateral surface area is:
LA = (3)(8) + (4)(8) + (5)(8)
LA = 96
The total surface area is the lateral surface area plus the area of the bases.
SA = 96 + ½(3)(4) + ½(3)(4)
SA = 108
Answer:
People shopping at a local pet store
Answer:
B) 68.91 inches
Step-by-step explanation:
To start, lets define what we are trying to find. VYX is the major arc VX, spanning from V to X crossing over Y.
We are also given that the diameter is 28 inches.
Since arc length and area are proportional to the central angle, we can create the following equality:
angle of VYX/360 = arc length of VYX/circumference
We know that the central angle of VYX = central angle of minor UV + UYX = 117 + (180-15) = 282 degrees.
282/360 * 28*pi = arc length of VYX
Thus, the length of VYX = 68.90559887 inches
Thus, the correct answer is B, 68.91 in.
70%
i found that by just multiplying 50 by .7
<u>Answer:</u>
- The first four terms are <u>4</u><u>,</u><u>8</u><u>,</u><u>1</u><u>2</u><u>,</u><u>1</u><u>6</u>
<u>Step-by-Step </u><u>Explanation</u><u>:</u>
The given relation between the nth term and it's previous term is given by:
GiveN:
Now finding the other three terms of the AP with the given relation.
Putting a1 = 4,
Now, Third term:
Putting a2 = 8,
Now, Fourth term:
Putting a3 = 12,
Hence, The first four terms of the AP is 4, 8, 12 & 16.
