You are purchasing carpeting for an office building. The space to be carpeted is 30 feet by 50 feet. Company A charges $2.99 per
1 answer:
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f(x) = 3x²
g(x) = 4x³ + 1
f(g(x)) = 3.(4x³ + 1)²
As we know
(a + b)² = a² + 2.a.b + b²
So,
(4x³ + 1) = (4x³)² + 2.4x³.1 + 1² =
f(g(x)) = 3.()
The degree is the maximum exponent, so, 6.
Answer:
106.5 square units.
Step-by-step explanation:
See the attached diagram.
The pentagon ABCDE consists of three triangles namely Δ ABC, Δ ACD, and Δ ADE when we join the diagonals AC and AD.
So, Area of Pentagon ABCDE = Area of Δ ABC + Area of Δ ACD + Area of triangle Δ ADE.
⇒ Area of Pentagon ABCDE = (31.8 + 39.2 + 35.5) = 106.5 square units. (Answer)
Answer:
a) 0.00001
b) 0.001
Step-by-step explanation:
Given numbers,
0, 1, 2, 3, 4, 5, 6, 7, 8, 9
a) If by these numbers we have to make six digit number,
So, the total ways of arranging 6 digit number =
Now, if all six digit in the number are same,
Then the possible ways = 10 ( eg : 000000, 111111, 222222, 333333, 444444... etc ),
Hence, the probability that all six digits are the same
b) The ways that five or more of the digits of the same = exactly 5 digits are same + Exactly 6 digits are same
∵ The ways that 5 digits are same = 10 × 9 = 90 (i.e. 111110, 111112, 111113,.....9 times, 222220, 222221,.....9 times .... etc..)
So, the number of ways that 5 or more than 5 digits are same = 90 + 10 = 100
Hence, the probability that five or more of the digits of the same