A man standing near a radio station antenna observes that the angle of elevation to the top of the antenna is b? = 67°. He then walks 100 feet further away and observes that the angle of elevation to the top of the antenna is ?a? = 45°. Find the height of the antenna to the nearest foot. (Hint: Findxfirst.)
?

?

A.  ft
B.  ft
C.  ft
D.  ft
E.  ft


Answer: A

Mathematics

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Solve the equation for y in terms of x.ln y + 2.1972 = 8 ln x

A. y = x8 - 9
B. y = x8 - 2.1972
C. y = 
D. y = 

Mathematics

Use substitution to determine whether the given ordered pair is a solution of the given equation.(2, 4); y = -2x + 8

A. Yes B. No

Mathematics

For the rational function below (i) Find the intercepts for the graph; (ii) Determine the domain; (iii) Find any vertical or horizontal asymptotes for the graph; (iv) Sketch any asymptotes as dashed lines. Then sketch the graph of y = f(x).f(x) = 

A. (i) x intercept: - ; y intercept: - 
(ii) Domain: all real numbers except -2
(iii) Vertical asymptote: x = -2; horizontal asymptote: y = -2
(iv)

B. (i) x intercept: - ; y intercept: - 
(ii) Domain: all real numbers except -2
(iii) Vertical asymptote: x = -2; horizontal asymptote: y = -2
(iv)

C. (i) x intercept: ; y intercept: - 
(ii) Domain: all real numbers except 2
(iii) Vertical asymptote: x = 2; horizontal asymptote: y = -2
(iv)

D. (i) x intercept: ; y intercept: - 
(ii) Domain: all real numbers except 2
(iii) Vertical asymptote: x = 2; horizontal asymptote: y = -2
(iv)

Mathematics

Using the symbols ? (for negation) and ? (for implication), write the contrapositive ofthe implication P ? Q.

What will be an ideal response?

Mathematics