Answer: $32.18
Step-by-step explanation:
Add up
21.98
+ 3.98
+ 3.98
-------------------
29.94 + 29.94(0.075)
29.94+2.24
$32.18
-60 -49 -40 9
-45 -18 80 82
-74 -23 14 85
-79 -68 21 46
-48 -21 27 54
-68 -13 4 32
Answer:
2) 14 y 2 m
Step-by-step explanation:
Year 9 students: total age= 100* 14 10/12= 1400 +100*5/6= 1483 y 8 m
Year 8 students: total age= 100* 13 6/12= 1350 y
Total age of 200 students: 1483 y 8 m + 1350 y= 2833 y 8 m
Average age= 2833 8/12 ÷ 200= (12*2833+8)/12 ÷ 200 = 34004/(12*200)= 34004/2400= 14 404/2400 ≈ 14 1/6 y= 14 y 2 m
The Pythagorean theorem can be used for this.
.. (tip distance)² = (shadow length)² + (tree height)²
.. tree height = √((tip distance)² -(shadow length)²)
.. tree height = √((60 ft)² -(40 ft)²) = √(2000 ft²)
.. tree height ≈ 44.72 ft
Answer:
187 ft/s
Step-by-step explanation:
Given in the y direction:
v₀ = 0 ft/s
Δy = 75 ft
a = 32 ft/s²
Find: t
Δy = v₀ t + ½ at²
(75 ft) = (0 ft/s) t + ½ (32 ft/s²) t²
t = 2.165 s
Given in the x direction:
Δx = 480 ft
a = 0 ft/s²
t = 2.165 s
Find: v₀
Δx = v₀ t + ½ at²
(480 ft) = v₀ (2.165 s) + ½ (32 ft/s²) (2.165 s)²
v₀ = 187 ft/s