Answer:
see explanation
Step-by-step explanation:
(1)
Calculate the circumference (C) of the wheel
C = πd (d is the diameter )
= 3.14 × 8 = 25.12 cm
Now divide the distance travelled by the circumference.
times rotated = 12560 ÷ 25.12 ≈ 500
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(2)
The area (A) of a circle is calculated as
A = πr² ( r is the radius )
Find r by using the circumference (C)
2πr = 50.24 ( divide both sides by 2π )
r = 50.24 ÷ 6.28 = 8 , then
A = 3.14 × 8² = 3.14 × 64 ≈ 200.96 ft² ( student 3 )
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(3)
C = πd = 3.14 × 30 = 94.2 ≈ 94 m
Answer:
arithmetic
Step-by-step explanation:
an arithmetic sequence is a sequence that moves up or down at a constant rate and the constant is 3
Negative twelve time T plus two
ΔABC and ΔCBD are similar. Therefore we have the proportion:
![\dfrac{AB}{BC}=\dfrac{BC}{BD}\\\\AB=6;\ BC=x;\ BD=2](https://tex.z-dn.net/?f=%5Cdfrac%7BAB%7D%7BBC%7D%3D%5Cdfrac%7BBC%7D%7BBD%7D%5C%5C%5C%5CAB%3D6%3B%5C%20BC%3Dx%3B%5C%20BD%3D2)
Substitute:
<em>cross multiply</em>
![(x)(x)=(6)(2)\\\\x^2=12\to x=\sqrt{12}\\\\x=\sqrt{4\cdot3}\\\\x=\sqrt4\cdot\sqrt3\\\\\boxed{x=2\sqrt3}](https://tex.z-dn.net/?f=%28x%29%28x%29%3D%286%29%282%29%5C%5C%5C%5Cx%5E2%3D12%5Cto%20x%3D%5Csqrt%7B12%7D%5C%5C%5C%5Cx%3D%5Csqrt%7B4%5Ccdot3%7D%5C%5C%5C%5Cx%3D%5Csqrt4%5Ccdot%5Csqrt3%5C%5C%5C%5C%5Cboxed%7Bx%3D2%5Csqrt3%7D)
The appropriate choice is ...
A. always
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For lines, the property of being parallel is transitive. A||B and B||C means A||C.