Answer:
Option A is the correct answer.
Explanation:
The given pyramid has 3 lateral triangular side as shown below.
Base of triangle = 12 unit
We need to find perpendicular.
By Pythagoras theorem we have
Perpendicular² = 10²-6²
Perpendicular = 8 unit
So area of 1 lateral triangle = 1/2 x Base x Perpendicular.
= 1/2 x 12 x 8 = 48 unit²
Area of lateral side = 3 x 48 = 144 unit²
Option A is the correct answer.
Her dance class is 1 hour and 45 minutes long
Hope this helps!
35,569.92 L of water is required to fill the pool
Step-by-step explanation:
- Step 1: Find the area of the circular pool when radius = 20/2 = 10 ft
⇒ Area = πr² = 3.14 × 10² = 314 ft²
- Step 2: Find the volume of the pool
Volume = Area × Depth
= 314 × 4 = 1256 ft³
- Step 3: Convert the volume into liters.
Volume of water = 1256 × 28.32 = 35,569.92 L (∵1 ft³ = 28.32 L)
The width of the pool is 10 feet.
<h3>What is area of rectangle?</h3>
The area of rectangle is product of length and breadth.
Let the width be x.
length = 24 + 2x. and breadth = 12 + 2x
We know, area= 1408 ft².
(12 + 2x)(24 + 2x) = 1408
12*24 + 12*2x + 24*2x + (2x)² = 1408
288 + 72x + 4x² = 1408
4x² + 72x + 288 - 1408 = 0
4x² + 72x - 1120 = 0
x² + 18x - 280 = 0
x² - 10x + 28x - 280 = 0
x(x - 10) + 28(x - 10) = 0
(x - 10)(x + 28) = 0
So, x=10, -28.
Hence, the width be 10 feet.
Learn more about this concept here:
brainly.com/question/26638297
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