Looking into the sky one night, Tori wondered how far into outer space she would get if she drove a car for 3.21 × 103 hours at
2 answers:
Answer:
Explanation:
One of the applications of scientific notation is to make estimations rounding the whole part of the numbers, i.e. the digits before the decimal point, to the nearest integer, and adding the exponents of the powers of base 10.
Here, you must estimate this product of two numbers written is scientific notation:
Then, for an estimation you round 3.21 to 3 and 1.13 to 1, then multiply 3 × 1 = 3. That will be the coefficient of your new power of 10.
The power or exponent will be the sum of the powers of the numbers that are being multiplied, i.e. 3 + 5 = 8.
And the result is
The unit is meters, so you write your answer as:
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The coordinates of triangle U'V'W' include U'(8, 3), V'(4, -8) and W'(-8, -6) and this is represented by graph A shown in the image attached below.
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Based on the information provided, triangle UVW would be rotated counterclockwise through an angle of 270 degree at origin to produce triangle U'V'W', we have:
Therefore, the image of triangle UVW would be given by this matrix:
Image =
Based on the image above, we can logically deduce that the coordinates of triangle U'V'W' include U'(8, 3), V'(4, -8) and W'(-8, -6) and this is represented by graph A shown in the image attached below.
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