Answer:
∠EPH = 107°
Step-by-step explanation:
∠EPH is an angle formed by two intersecting chords.
arc FG and arc EH are the arcs ∠EPH intercepts.
The relationship between an angle formed by intersecting chords and their intercepted arcs is that the angle is equal to half the sum of its intercepted arcs.
Which means that ∠EPH = 1/2 ( arc FG + arc EH )
If arc FG = 120° and arc EH = 94°
Then ∠EPH = 1/2 ( 120 + 94 )
120 + 94 = 214
214 / 2 = 107
Hence, ∠EPH = 107°
In this question, you have to isolate <em>x</em>.
First, use the distributive property.
Now that you have distributed, subtract the constants.
Please, use " ^ " to denote exponentiation: p(t) = t^2 + 5t + 6.
To find the critical points, differentiate p(t) with respect to t, set the result = to 0, and then solve the resulting equation for t:
p '(t) = 2t + 5 = 0
Solving for t: 2t = -5, and so t = -5/2. (-5/2, p(-5/2)) is the critical point. That evaluates to (-5/2, -0.25). This happens to be the vertex of a parabola that opens up.
Answer:
Correct answer: V₁ boat = 16 km/h and V₂ current = 4 km/h
Step-by-step explanation:
If we take speed (velocity) of the boat as V₁ and speed of the current V₂
Let us form equations:
Traveling down the current V₁ + V₂ = 60/3 = 20 km/h
Traveling against the current V₁ - V₂ = 60/5 = 12 km/h
V₁ - V₂ = 12
V₁ + V₂ = 20
If we add up the left and right sides of the equations we get:
2 V₁ = 32 => V₁ = 32/2 = 16 km/h
from the second equation we get:
V₂ = 20 - V₁ = 20 - 16 = 4 km/h
V₂ = 4 km/h
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