9514 1404 393
Answer:
yes
Step-by-step explanation:
The height that would be allowed with a ramp 43.5 feet long is ...
h = (43.5 ft)·sin(4.8°) ≈ 3.64 ft
The proposed height is less than 3.64 ft, so the ramp angle is less than 4.8°.
__
The ramp angle is actually arcsin(3/43.5) ≈ 3.95°, which is less than 4.8°.
Answer:
y - 1700 = 200(x-4)
Step-by-step explanation:
I hope
Although the number of new wildflowers is decreasing, the total number of flowers is increasing every year (assuming flowers aren't dying or otherwise being removed). Every year, 25% of the number of new flowers from the previous year are added.
The sigma notation would be:
∑ (from n=1 to ∞) 4800 * (1/4)ⁿ , where n is the year.
Remember that this notation should give us the sum of all new flowers from year 1 to infinite, and the values of new flowers for each year should match those given in the table for years 1, 2, and 3
This means the total number of flowers equals:
Year 1: 4800 * 1/4 = 1200 ]
+
Year 2: 4800 * (1/4)² = 300
+
Year 3: 4800 * (1/4)³ = 75
+
Year 4: 4800 * (1/4)⁴ = 18.75 = ~19 (we can't have a part of a flower)
+
Year 5: 4800 * (1/4)⁵ = 4.68 = ~ 5
+
Year 6: 4800 * (1/4)⁶ = 1.17 = ~1
And so on. As you can see, it in the years that follow the number of flowers added approaches zero. Thus, we can approximate the infinite sum of new flowers using just Years 1-6:
1200 + 300 + 75 + 19 + 5 + 1 = 1,600
Answer:
all work is shown and set
Answer:
Step-by-step explanation:
12.80+3.42= 16.22
16.22-9.70= 6.52 that's your answer
