Can someone please help me??
2 answers:
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Answer:
25.2294 feet
Step-by-step explanation:
We can solve this question drawing a triangle using the values given and then using the law of sines. (See image attached to know how to draw the triangle and use the values).
First we need to find the third angle of the triangle, that is, the angle in the vertix where the bird is:
y + 55 + 63 = 180
y = 62°
The relation between the angles and the distances are:
25 / sin(y) = x / sin(63)
25 / 0.8829 = x / 0.8910
x = 25 * 0.8910 / 0.8829 = 25.2294 feet
Answer:
a) look at the figure
b) i) x = 2.5 , y = 3
ii) x-intercept is 2.333
iii) y-intercept is 2.8
Step-by-step explanation:
a) The points of the graph f(x) = 3+1/2x - 5 are:
f(-5) = 2.9333
f(-4) = 2.923
f(-3) = 2.909
f(-2) = 2.888
f(-1) = 2.857
f(0) = 2.8
f(1) = 2.666
f(2) = 2
f(3) = 4
f(4) = 3.333
f(5) = 3.2
b)
i) to find the vertical asymptotic put the denominator = 0
2x - 5 = 0 ⇒ 2x = 5 ⇒ x = 5 ÷ 2 = 2.5
∴ The equation of the vertical asymptotic is x = 2.5
To find the horizontal asymptotic look at the degree of the numerator and denominator
∵ they are equal f(x) = (6x -14)/(2x - 5) ⇒ 6x ÷ 2x = 3
∴ The equation of the horizontal asymptotic is y = 3
ii) the value of x-intercept means put f(x) = 0
∴3 + 1/2x - 5 = 0 ⇒ 1/2x - 5 = -3 ⇒ -6x + 15 = 1 ⇒ 6x = 14
x = 14/6 = 2.333
iii) The value of y-intercept means x = 0
∴ f(x) = 3 + 1/0 - 5 = 3 + (-0.2) = 2.8
