Answer:
1. 600 watts
2. 35640 J
3. 55%
4. 20 J
5. The cost of running the fire is 8p.
Step-by-step explanation:
1. Energy = 36 000 J , t = 1 minute = 60 seconds
Power = 
= 
= 600 watts
2. Power = 
⇒ work done = Power × time
= 99 × 360
= 35640 J
3. Efficiency = (Output / Input) × 100
=
× 100
= 55%
4. Work done = Force × distance
= 5 × 4
= 20 J
5. Given that 1 KWh cost 2p, Power = 4 KW and time = 4 hours.
Power = 
Energy = Power × time
= 4 × 4
= 16 KWh
The cost of running the fire = 
= 8p
Two ways:
Step-by-step explanation:
1. First way. Using the trig unit circle.
tan (pi - x) = - tan x
2. Second way. Apply the identity:
tan(a-b)=tan a- tan b/ 1 - tan a×tan b
tan (π - x)= tan π - tanx/1 - tan(π)×tanx
Since tan (pi) = 0, therefor:
tan(π−x)=−tanx
<span>For the answer to this question,
Let x = depth of the gutter
then
18 - 2x = width of the gutter
Cross section area
A = depth x width
</span><span> = x(18 - 2x)
A = 18x - 2x^2
:
Axis of symmetry will give x value for max area:
x = -b/(2a)
x = -18/(2x(-2))
x = 4.5 inches is the depth for max area
</span><span>Max area: 4.5 * 9 = 40.5 sq/in
I hope my answer helped you.</span>
Answer:
We get 6 x10^7 with a 4dp of 9599
9599
/ \
29 331
Step-by-step explanation:
Rounded to 4dp
64151584.9599
1:2 heads 4:6 less than 5 so 4:12