To get a close estimate, we can round 49 up to 50 and 311 down to 300, obtaining an estimate of 50/300 = 1/6, or 0.1666... as a repeating decimal. That decimal approximation is a little less than one hundredth away from the actual decimal approximation of ≈ 0.1576
Answer:
x = 4
which agrees with the third listed answer among the given options
Step-by-step explanation:
We can re-write the logarithmic equation using the properties of logarithms:
Therefore, the arguments of the log functions must also be equal (and we can solve for "x" by noticing that this expression is the perfect square of a binomial:
and for this equation to verify, x must be 4
A dilation is a transformation, with center O and a scale factor of k
that is not zero, that maps O to itself and any other point P to P'.
The center O is a fixed point, P' is the image of P, points O, P and P'
are on the same line.
Thus, a dilation with centre O and a scale factor of k maps the original figure to the image in such a way that the<span>
distances from O to the vertices of the image are k times the distances
from O to the original figure. Also the size of the image are k times the
size of the original figure.
In the dilation of triangle TUV</span>, It is obvious that the image <span>T'U'V' is smaller than the original triangle TUV and hence the scale factor is less than 1.
</span>The ratio of the
distances from A to the vertices of the image T'U'V' to the distances
from A to the original triangle TUV is the scale factor.
The scale factor = 3.2 / 4.8 = 2/3
The statement 'of ' represents multiplication.
thus, baby = 1/40 * 120 = 3 tons.
1 ton is 2000 pounds.
Hence, 3 is 6000 pounds.
