Answer:
dA/dt = 31 in²/ sec
Step-by-step explanation:
The area of the triangle is:
A(t) = (1/2)*b*h where b is the base and h the height
Differentiation on both sides of the equation we obtain
dA/dt = (1/2)* db/dt * h + (1/2)* dh/dt * b (1)
db/dt = 3 in/sec
dh/dt = 2 n/sec
b = 10 in
h = 14 in
By substitution in (1)
dA/dt = 0,5* 3*14 + 0,5* 2*10
dA/dt = 21 in² /sec + 10 in²/sc
dA/dt = 31 in²/ sec
This is an answer I wrote last year check it out I have it in my progress
Answer:
3 feet
Step-by-step explanation:
Let x represent the width of the deck. The deck adds to the pool dimensions on both sides, so the area of the site including pool and deck will be ...
A = (20 +2x)(50 +2x) = 1000 +140x +4x^2
The area of the pool alone is
A = (20)(50) = 1000
So, the area of the deck is the difference:
456 = (4x^2 +140x +1000) -(1000)
Dividing by 4 and subtracting 114, we have ...
x^2 +35x -114 = 0
(x -3)(x +38) = 0
Solutions to this are x = 3 and x = -38. The positive solution is the one of interest.
The deck is 3 feet wide.
20:) because if you round 19 the nine makes the 1 a 2 lol
Answer:
Step-by-step explanation:
a.11/12 =11 is numerator and 12 is denominator
b.7/512 =75 is numerator and 512 is denominator
c.12/10 = 12 is numerator and 10 is denominator
d0/78 = 0 is numerator and 78 is denominator
point to remember : In fraction,upper part is always numerator and down part is denominator.
