Answer:
(B) 1
Step-by-step explanation:
The number of such integers will be the number of places where the functions f(x) = x² and g(x) = √x intersect.
<h3>Graphical solution</h3>
The attachment shows the graphical solution to f(x) = g(x) for x > 0. There is exactly one point of intersection at x=1.
There is one such number.
D
Step-by-step explanation:
i got D because every thing in D adds up to 65
(-9/8)x - 7 = -25
(-9/8)x - 7 + 7 = -25 + 7
(-9/8)x = -18
((-9/8)x)/(-9/8) = -18/(-9/8)
x = 18 × (8/9)
x = 16
The arrangement of the Eastern and Western lighthouses and the position of the boat are as shown in the attached diagram.
Using sine rule,
28/Sin 37 = 40/Sin B => Sin B = (40 Sin 37)/28 = 0.8597 => B = Sin ^-1(0.8597) = 59.287°
Therefore,
Angle E = 180 - (37+59.287) = 83.713°
Using the sine rule again;
BW/Sin E = 28/Sin 37 => BW = (28 Sin 83.713)/Sin 37 = 46.246 ≈ 46.27 miles.
The boat is 46.27 miles from the western lighthouse. The correct answer is A.