Answer:
11:35
Step-by-step explanation:
10:50 + 35 = 11:25
11:25+10= 11:35
Answer:
s = 23
Step-by-step explanation:
1. VW ≅ VY is given.
2. XV ≅ VX as it is the same side.
3. ∠WVX ≅ ∠YVX as they are both 90°. ∠WVY is 180° as it is a straight line, so both ∠WVX and ∠YVX are exactly half of that.
Given those three things, you can say that ΔWVX ≅ ΔYVX. Because all corresponding parts of congruent triangles are also congruent, you can be sure that WX ≅ XY. Finally, using that information, you can write an equation and solve for s.

Answer:
a) 70
b) 10π ft²/ft
c) 0.24 ft/sec
Step-by-step explanation:
1) y = x³ + 2x

or
= 
at
and x = 2
= 
or
= 60 + 10 = 70
2) A = πr² ft²

or
= 2(πr)
at r = 5 ft
= 2(π × 5) ft²/ft
or
= 10π ft²/ft
3) From Pythagoras theorem
Base² + Perpendicular² = Hypotenuse²
Thus,
B² + P² = H² .............(1)
here, H = length of the ladder
P is the height of the wall
B is the distance from the wall at bottom
or
B² + P² = 25² ...........(1)
at B = 20 ft
20² + P² = 25²
or
P² = 625 - 400
or
P = √225
or
P = 15 ft
differentiating (1) with respect to time, we get

at B = 20 ft,
and P = 15 ft
⇒ 2(20)(0.18) +
= 0
or
= - 7.2
or
= - 0.24 ft/sec (Here negative sign depicts the ladder slides down)
Average rate of change = [(g(7) - g(4))/(7 - 4) + (g(8) - g(7))/(8 - 7)] = [(7/2 + 5) - (4/2 + 5)]/(7 - 5) + [(-3(8) + 3) - (-3(7) + 3)]/(8 - 7) = [(8.5 - 7)/2 + (-21 - (-18))/1] = (1.5/2 + (-3)) = 0.73 - 3 = -2.25
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