660 feet
given distance varies directly with time (t) then
d = kt ( k is the constant of variation )
find k using the condition d = 264 when t = 0.5
k = 
= 
= 528
thus d = 528t
when t = 1.25
d = 528 × 1.25 = 660 feet
Answer:0.2588
Step-by-step explanation:
To find the exact value for
Sinpi/12
pi=180°
So
Sin 180/12
Sin15°
=0.2588
You're given that φ is an angle that terminates in the third quadrant (III). This means that both cos(φ) and sin(φ), and thus sec(φ) and csc(φ), are negative.
Recall the Pythagorean identity,
cos²(φ) + sin²(φ) = 1
Multiply the equation uniformly by 1/cos²(φ),
cos²(φ)/cos²(φ) + sin²(φ)/cos²(φ) = 1/cos²(φ)
1 + tan²(φ) = sec²(φ)
Solve for sec(φ) :
sec(φ) = - √(1 + tan²(φ))
Given that cot(φ) = 1/4, we have tan(φ) = 1/cot(φ) = 1/(1/4) = 4. Then
sec(φ) = - √(1 + 4²) = -√17
Answer:
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Step-by-step explanation:
