Answer:
18√2
Step-by-step explanation:
The smaller triangle sharing a vertex with the larger one is similar and half the area. That means its linear dimensions are √(1/2) = (√2)/2 times those of the larger triangle.
The line segment of interest has length ...
36 × (√2)/2 = 18√2
_____
The ratio of area of similar figures is the square of the ratio of their linear dimensions. Thus the ratio of linear dimensions is the square root of the ratio of area.
Answer:
4th one
Step-by-step explanation:
Multiply 120 by 0.40 to get 40%:
120 x 0.40 = 48
So 48 is 40% of 120
Answer:
D. y = (x - 3)²
Step-by-step explanation:
The parabola formula in vertex form is:
y = a(x - h)² + k
where the vertex is located at (h, k). Replacing with vertex (3, 0) we get:
y = a(x - 3)² + 0
y = a(x - 3)²
In all possible options the leading coefficient <em>a</em> is equal to one. Therefore:
y = (x - 3)²
The speed at which they are moving apart = 475 + 525 = 1000 mi/h
Time = distance / speed
= 6000 / 1000 = 6 hours
The answer is 6 hours.
