It would be irrational considering its a square root.
Answer: See Screenshot
Step-by-step explanation:
<span>The type of transformation that will produce a similar, but not congruent figure is a dilation.
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.
The scale factor of a dilation is the factor with which the image increase or decrease from the pre image, it also gives the factor with which the the distances from O to the vertices of the image are more than the distances from O to the original figure.
For a scale factor between 0 and 1 the image is a shrinking (i.e. the image is smaller that the original figure) while for a scale factor above 1, the image is an enlargement (i.e. the image is bigger that the original figure).</span>
Answer:
3.77min
Step-by-step explanation:
we are given the relationship:
d = Vt + 4.9t²,
where
d = distance in meters = given as 160m
V = launching (aka initial) speed = 24m/min
t = time in min (we are asked to find this)
if we subsititute the above values into the equation:
d = Vt + 4.9t²
160 = 24t + 4.9t²
4.9t² + 24t - 160 = 0 (we simply solve for t)
Using the quadratic formula:
t = { -24 ± √[24² - (4)(4.9)(-160] } / [(2)(4.9)] }
t = 3.77 min or -8.67 min
because time cannot be negative in this case, we pick the positive number.
t = 3.77min
