Answer: 672 feets
Step-by-step explanation:
Using the solution diagram attached, the vertical height, h of the lighthouse ;
Using trigonometry :
Tanθ = opposite / Adjacent
Tan 2 = h / 804
h = tan 2 * 804
h = 28.076 feets
Using h, we can obtain the distance CB :
Tan θ = opposite / Adjacent
Tan 2 = 28.076 / CB
CB = 28.076 / Tan 12°
CB = 132.08860 feets
Distance between A and B
804 - 132.08860
= 671.9 feets
Answer:
When x ⇒ +∞ and x ⇒ -∞, f(x) ⇒ 0 from the positive region.
Step-by-step explanation:
Hi there!
Let´s write the function:
f(x) = (7x³ + 2) / (4x⁵ - 3x + 1)
When x ⇒ +∞ we can neglect the constant values (2 and 1). So:
f(x) ⇒ 7x³ /(4x⁵ - 3x)
f(x) ⇒ 7x³ / x(4x⁴ - 3)
f(x) ⇒ 7x² / 4x⁴
f(x) ⇒ 7/4x² ⇒ 0 from the positive region
when x ⇒ -∞
f(x) ⇒ 7/ 4x² ⇒ 0 from the positive region because x² is always positive.
Then when x is a very big number (positive or negative), f(x) will be approximately 0 and positive.
Answer: A
Step-by-step explanation: A keeps the same slope of 1/4 from what can be seen and B is constantly changin, so for me it is A. Hope it helps.
Answer:
Step-by-step explanation:
Given: ∠PTQ ≅ ∠STR and TP, TQ, TR and TS are radii of the circle.
If two angle are equal, then they are equal in size and their measurements are equal.
IF ∠PTQ ≅ ∠STR then they are also equal in their measurements.
Now, In ΔPTQ and ΔSTR
∠PTQ ≅ ∠STR (vertically opposite angle)
(Radius of the circle are equal and congruent in length)
(Radius of the circle)
∴ ΔPTQ ≅ ΔSTR (SAS postulate)
∴ 
(corresponding sides of congruent triangle are equal and congruent).
