Hello,
As 4²+(5/2)²=22.25=89/4 (Pytagorean theorem)
Perimeter of the triangle =2*√89 /2 +5 =5+√89
Lateral area: 18*(5+√89)
Total area= 90+18√89+ 4*5/2 *2 =110+18√89 ≈279.811..(ft²)
Answer:
45 cubes
Step-by-step explanation:
There are 10 cubes in each 1. so 10 x 4 = 40. 1/2 of 10 is 5 so 40+5 = 45.
Answer:
decimal: x0.6 or fraction: 2/3
Step-by-step explanation:
The answer is D. First, it is the segment addition postulate because the two segments make up the whole. Second, it's substitution because you are substituting EF + FG for FH.
Hope this helps!
Answer:
Interest rate of 7%.
Step-by-step explanation:
The compound interest formula is given by:

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.
In this question:
We want to find t for which
when
. So



![\sqrt[10]{(1 + r)^10} = \sqrt[10]{2}](https://tex.z-dn.net/?f=%5Csqrt%5B10%5D%7B%281%20%2B%20r%29%5E10%7D%20%3D%20%5Csqrt%5B10%5D%7B2%7D)


So a interest rate of 7%.