Answer:
Area of living room
= 20(x+5)
= 20x +100
Area of dining room= 20x
Total area
= 20x +100 +20x
= 40x +100
Total perimeter (after wall is removed)
= 2(20) + 2( x+x+5)
= 40 + 2(2x+5)
= 40 +4x +10 (expand)
= 4x +50 (simplify)
Step-by-step explanation:
Area of rectangle= length × breadth
Answer:
PS = 31.5 ft
Step-by-step explanation:
∠PTS = 180 - 16 = 154°
164°(π/180) = 41π/45 radians
PS = rθ = 11(41π/45) = 31.48573...
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Answer:
⁻ 
Step-by-step explanation:
⁻
⁻
× 
⁻ × 
⁻
⁻
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Answer:
<h2>a) Average velocity = 278 units</h2><h2>b)
Instantaneous velocity at t = 7 seconds is 148 units</h2>
Step-by-step explanation:
a) Average velocity is the ratio of displacement to time.
We have
s(t) = t³ + t
t is in between 7 and 12
s(7) = 7³ + 7 = 350
s(12) = 12³ + 12 = 1740
Displacement = 1740 - 350 = 1390
Time = 12 - 7 = 5
Displacement = Average velocity x time
1390 = Average velocity x 5
Average velocity = 278 units
b) s(t) = t³ + t
Differentiating
v(t) = 3t² + 1
At t = 7
v(t) = 3 x 7² + 1 = 148 units
Instantaneous velocity at t = 7 seconds is 148 units
