Answer:
Exact area: 39.2π cm²
Approximate area: 123.2 cm²
Step-by-step explanation:
The area of a circle is πr².
A full circle can be thought of as a sector of a circle with 360° of central angle. For a sector of a circle with a central angle of n°, multiply the area of the circle by the fraction n°/360°.
The formula for the area of a sector of circle with central angle n° and radius r is
A = (n°)/(360°) × πr²
Here we have n = 72; r = 14 cm
A = (n°)/(360°) × πr²
A = (72°)/(360°) × π × (14 cm)²
A = 39.2π cm² = 123.2 cm²
Answer: 34
Step-by-step explanation:
Answer:
you gotta show a picture of the table in order for us to know what's missing from it
Factor 8 out of 16x^2 - 24x +8
8 is the GFC
Factor the following:
16 x^2 - 24 x + 8
Factor 8 out of 16 x^2 - 24 x + 8:
8 (2 x^2 - 3 x + 1)
Factor the quadratic 2 x^2 - 3 x + 1.
The coefficient of x^2 is 2 and the constant term is 1.
The product of 2 and 1 is 2.
The factors of 2 which sum to -3 are -1 and -2.
So 2 x^2 - 3 x + 1 = 2 x^2 - 2 x - x + 1 = -(2 x - 1) + x (2 x - 1):
8 x (2 x - 1) - (2 x - 1)
Factor 2 x - 1 from x (2 x - 1) - (2 x - 1):
<span>Answer: 8 (2 x - 1) (x - 1)</span>
Answer: The mixed number 5 & 1/2
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Work Shown:
1 & 1/2 = 1 + 1/2 = 2/2 + 1/2 = 3/2
3 & 2/3 = 3 + 2/3 = 9/3 + 2/3 = 11/3
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Multiplying 1&1/2 with 3&2/3 is the same as multiplying 3/2 and 11/3
(3/2)*(11/3) = (3*11)/(2*3) = 11/2
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Use long division to find that 11/2 = 5 & 1/2
Or you can break it up like this
11/2 = (10+1)/2 = 10/2 + 1/2 = 5 + 1/2 = 5 & 1/2
