8/9 divided by 2/3 is 1 1/3
Let's check.
x = 5π/24
4x = 5π/6
cos 4x = cos(5π/6) = cos 150° = -√3/2
cos² 4x = (-√3/2)^2 = 3/4
4 cos² 4x -3 = 4 (3/4) - 3 = 0
Answer: TRUE
The area of the deck is 413 square feet
<h3>How to determine the area of the proposed deck?</h3>
Start by calculating the area of the outer rectangle using:
Area = Length * Width
This gives
Area1 = (18 + 12) * (16 + 8)
Area1 = 720
Next, calculate the area of the inner rectangle using:
Area = Length * Width
This gives
Area2 = 16 * (18 + 8)
Area2 = 416
Subtract these areas
A1 = Area1 - Area2
A1 = 720 - 416
A1 = 304
Next, calculate the area of the outer semicircle using:
Area = 0.5πR²
This gives
Area1 = 0.5 * 3 * (12-1)²
Area1 = 181.5
Next, calculate the area of the inner semicircle using:
Area = 0.5πr²
This gives
Area2 = 0.5 * 3 * (7)²
Area2 = 73.5
Subtract these areas
A2 = Area1 - Area2
A2 = 181.5 - 73.5
A2 = 108
Add A1 and A2
A = 304 + 108
Evaluate the sum
A = 412
Hence, the area of the deck is 413 square feet
Read more about areas at:
brainly.com/question/24487155
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Answer: 1000 hours.
Step-by-step explanation: To travel 9 x 10^8 feet, it would take (9 x 10^8)/15000 minutes. This equals 60000 minutes. We divide this number by 60 to convert to hours. This equals 1000 hours.
Answer:
No, since it is na exponent
Step-by-step explanation:
If it was to the 2nd power, then the problem would simplify to 36x^2(9x^2)(16)
