Answer:
850 leaves were on the tree initially.
Same as;
2/5 + 1/5 + 3/10 + (remaining leaves 1/10) = 1
4/10 + 2/10 + 3/10 + 1/10
10 x 85 = 850
Step-by-step explanation:
2/5 wk 1 fall off
1/5 wk 2 fell off
3/5 x 1/2 = 3/10 wk 2 stayed on tree
1/3 x 3/10 = 1/10 wk 3 stayed on
2/5 + 1/5 + 3/10 = 9/10 = 0.9 fall off in total
10/10 - 9/10 = 1/10 left on tree
1/10 = 85
10 x 85 = 850 leaves.
5/6 is equivalent to 20/24
3/4 is equivalent to 18/24
so 5/6 is bigger than 3/4 by 2/24
Answer:
t=2.08 seconds.
Step-by-step explanation:
Well, in this example, H(t)=-0.6cos(2pi/2.5)t+1.5 should be equal to 1.2. If calculated, -0.6cos(0.8pi)t=1.2-1.5 which is equal to -0.6cos(0.8pi)t=-0.3, then cos(0.8pi)t=0.5. The value of cosine in terms of radians when it is equal to 0.5 is pi/3. So, cos(0.8pi)t=cos(pi/3). If simplified, (0.8pi)*t=5pi/3. pi's are cancelled out and t is calculated as 2.08333... If rounded to the nearest hundredth it is 2.08.
F(180) = x/30
= 180/30 = 6 gallons of gas is needed
