Answer:
D = 9sin(2π(t + a)/24) + 45
Step-by-step explanation:
Let's find the average temperature;
(54 + 36)/2 = 45°
Amplitude = 54 - 45 = 9
From the wave equation, we can write the temperature as;
D = 9sin(2π(t + a)/24) + 45
Where;
D is the temperature
t is the time in hours after midnight
a is a "phase" that is used to set the time at which temperature(D) occurs
50 calories are consumed per milefor 15 miles per hour, calories consumed
= 50*15
=750 calories per hour,
this is equal to 750/3600
= 0.2083 calories/second, given that,
1 calorie per sec
= 4.19 watt, the average power output
= 0.2083*4.19
= 0.873 Watts
<span>Let x be length of shorter leg
</span>4cm longer than the shorter leg<span> x + 4 = length of longer leg
</span>hypotenuse is 8 cm longer than the shorter <span>
x + 8 = </span>length of <span> hypotenuse
</span>
phytagorus rule
<span>x^2 + (x+4)^2 = (x+8)^2
x^2 + x^2 +8 x + 4^2 = x^2 + 16x + 8^2
x^2 - 8x - 48 =0
(x + 4 ) (x - 12) - 0
x= - 4 we reject negative number
so x= 12
</span>