<span>h = -8t² + 40t
dh/dt = 0
⇒ d/dt(</span><span>-8t² + 40t) = 0
⇒ -16t + 40 = 0
⇒ 16t = 40
⇒ t = 40/16 = 2.5s
So it takes 2.5 seconds to reach highest point
h = -8×2.5² + 40×2.5 = -50 + 100 = 50
Ordered pair: (h,t) = (50,2.5)
</span>
The answer is B hope it helped
Answer:
180psi
Step-by-step explanation:
Step one:
given data
P1= 900 psi
T1= 350°C
P2=?
T2=70°C
Required
The final pressure P2
<em>Gay-Lussac's Law: The Pressure Temperature Law. This law states that the pressure of a given amount of gas held at constant volume is directly proportional to the Kelvin temperature. With an increase in temperature, the pressure will go up</em>
Applying the expression
P1/T1= P2/T2
substitute:
900/350= P2/70
2.57=P2/70
cross multiply
P2= 2.57*70
P2=180psi
Answer:
Step-by-step explanation:
we know that
The lateral area of the cone is equal to
where
r is the radius of the base
l is the slant height
we have
Applying the Pythagoras Theorem find the slant height
substitute in the formula
Answer:
Step-by-step explanation:
NA = √[(- 4 - 1 )² + (- 3 - 2)²] = 5√2
AT = √[(8 - 1 )² + (1 - 2)²] = 5√2
TS = √[(3 - 8 )² + (- 4 - 1)²] = 5√2
NS = √[(- 4 - 3 )² + (- 3 + 4)²] = 5√2
NA = AT = TS = NS = 5√2
= (- 3 - 2) / (- 4 - 1) = 1 ........ <em>(1)</em>
= (- 4 - 1) / (3 - 8 ) = 1 ......... <em>(2)</em>
From (1) and (2) ⇒ NA║TS
= ( 1 - 2) / ( 8 - 1) = - 1 / 7 .......... <em>(3)</em>
= ( - 4 + 3) / ( 3 + 4) = - 1 / 7 .... <em>(4)</em>
From (3) and (4) ⇒ AT║NS
Thus, NATS is rhombus.
