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
Answer:
x = 48
Step-by-step explanation:
5x + 12 = 6x - 36 ( subtract 6x from both sides )
- x + 12 = - 36 ( subtract 12 from both sides )
- x = - 48 ( multiply both sides by - 1 )
x = 48
Answer:
D) (2, 14)
Step-by-step explanation:
substitute each coordinates into the inequality:
(0, 0)
y > 5x
0 > 5*0
0 > 0
this is false, 0 = 0.
(3, 12)
y > 5x
12 > 5 * 3
12 > 15
this is false, 12 < 15
(-2, -10)
y > 5x
-10 > 5 * -2
-10 > -10
this is false, -10 = -10
(2, 14)
y > 5x
14 > 5 * 2
14 > 10
this is true, 14 > 10
Answer:
44
Step-by-step explanation:
pay for 40 hours: 7.50 * 40= 300
pay for 1 hour of overtime pay: 1.5 * 7.5= 11.25 per hour
11.25 * 4= 45
45 + 300= 345
40 + 4= 44
