Answer:
2.4 cm
Step-by-step explanation:
We know the length of segment AB and the length of segment BC. To find their midpoints, we can divide their length by 2.
Let's find the midpoint of AB.
- Segment AB: 10 cm
- Midpoint of AB: 10/2 = 5 cm
Next let's find the midpoint of BC.
- Segment BC: 5.2 cm
- Midpoint of BC: 5.2/2 = 2.6 cm
In order to find the difference between these midpoints, we can subtract the midpoint of AB by the midpoint of BC.
Therefore, the difference between the midpoints of AB and BC is 2.4 cm.
Answer: The balance in the account after 10 years is $3374.65
Step-by-step explanation:
The exponential equation for growth [ compounded continuously] is
![y=pe^{rt}](https://tex.z-dn.net/?f=y%3Dpe%5E%7Brt%7D)
, where P= Present value
r= growth rate ( in decimal)
t= time (years)
By considering the given information , we have
p=$2500 r = % =0.03 and t= 10
Substitute all the values in the above equation , we get
![y=2500e^{0.03(10)}](https://tex.z-dn.net/?f=y%3D2500e%5E%7B0.03%2810%29%7D)
![y=2500e^{0.3}](https://tex.z-dn.net/?f=y%3D2500e%5E%7B0.3%7D)
[Round to the nearest cent]
Therefore, the balance in the account after 10 years is $3374.65
Answer:
The answer to your question is At = 48 + 36![\sqrt{3}](https://tex.z-dn.net/?f=%5Csqrt%7B3%7D)
Step-by-step explanation:
Area = Area of the base + Lateral area
a) Area of the base
Area = length x height / 2
length = 12
height² = 12² - 6²
= 144 - 36
= 108
height =
= 6![\sqrt{3}](https://tex.z-dn.net/?f=%5Csqrt%7B3%7D)
Area = 12 x 6![\sqrt{3} / 2](https://tex.z-dn.net/?f=%5Csqrt%7B3%7D%20%2F%202)
= 36![\sqrt{3}](https://tex.z-dn.net/?f=%5Csqrt%7B3%7D)
b) Lateral area
height² = 10² - 6²
= 100 - 36
= 64
height = 8
Area = 12 x 8/2
= 48
c) Total area
At = 48 + 36![\sqrt{3}](https://tex.z-dn.net/?f=%5Csqrt%7B3%7D)