The bedroom and office in the diagrams below are similar rectangles. The walls on the left sides in the diagram are proportional
, and the walls on the top sides in the diagram are proportional. How long is the missing wall of the office (shown in red below)?
1 answer:
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Answer:
113.142857 m²
Step-by-step explanation:
As per the provide information in the given question, we have :
- Radius of the circular ground = 6 m
We are asked to find the area of the ground.
Since, it is in the shape of circle, so we'll apply here the formula to find the area of the circular ground.
We know that,
>> Area of circle = πr
>> Area of the ground = × 6 m × 6 m
>> Area of the ground = × 36 m²
>> Area of the ground = m²
>> Area of the ground = 113.142857 m²
<u>Therefore</u><u>,</u><u> </u><u>area</u><u> </u><u>of</u><u> </u><u>the</u><u> </u><u>ground</u><u> </u><u>is</u><u> </u><u>113.142857 m²</u><u>.</u><u> </u>
Answer:
32x⁵ + 240x⁴ + 720x³ + 1080x² + 810x + 243
Step-by-step explanation:
(2x + 3)⁵
₅C₀ (2x)⁵ (3)⁰ + ₅C₁ (2x)⁴ (3)¹ + ₅C₂ (2x)³ (3)² + ₅C₃ (2x)² (3)³ + ₅C₄ (2x)¹ (3)⁴ + ₅C₅ (2x)⁰ (3)⁵
Use Pascal's triangle to find nCr.
1 (2x)⁵ (3)⁰ + 5 (2x)⁴ (3)¹ + 10 (2x)³ (3)² + 10 (2x)² (3)³ + 5 (2x)¹ (3)⁴ + 1 (2x)⁰ (3)⁵
(2x)⁵ + 15 (2x)⁴ + 90 (2x)³ + 270 (2x)² + 405 (2x)¹ + 243
32x⁵ + 240x⁴ + 720x³ + 1080x² + 810x + 243