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2 answers:
Wow a shoutout!
The greatest common factor of two numbers is what it sounds like, the biggest number that divides both, i.e. the biggest number who has multiples that are the original numbers.
The way we do it is we factor each number and then we just pick out all the common prime factors and multiply them together. Here 56=2×2×2×7 and 92=2×2×23 so there are two factors of 2 in common, so a GCF of 2×2=4. In symbols:
GCF(56,92)=GCF(2^3(7), 2^2(23)) = 2^2 = 4
22.9 × 7.5 × 4.6 = 790.05
Rounded, 790 cubic meters
5 × 2 × 4 × (2 1/2)^3 = 5 × 2 × 4 × (5/2)^3 = 5^4 = 625 cubic inches
12 meters / (3 meters / hour) = 4 hours
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Answer:
(B) The magnitude is 7sqrt2, and the direction angle is approximately 135 degrees.
Step-by-step explanation:
From the figure, the coordinate of the tail of the vector,
The coordinate of the head of the vector,
The magnitude of a vector is the length between the head and tail of the vector.
By using the distance formula,
the magnitude of the vector
Now, let be the angle made by the vector with the positive direction of the x-axis, so
So, the magnitude of the vector is which makes
with the positive direction of the x-axis.
Hence, option (B) is correct.