Answer:
336.02 square centimeters
Step-by-step explanation:
The surface area is the area of all the surfaces of the prism shown.
The prism has 7 surfaces.
Top and Bottom are pentagons with side lengths of 5.
The other 5 side surfaces are rectangles with length 10 and width 5.
Note the formulas of area of pentagon and area of rectangle below:
Area of Rectangle = Length * Width
Area of Pentagon = , where a is the side length
Lets find area of each of the surfaces:
<u>Top Surface</u> (Pentagon with side length 5) =
<u>Bottom Surface</u> = same as Top Surface = 43.01
<u>Side Surface</u> (rectangle with length 10 and width 5) = 10 * 5 = 50
There are 5 side surfaces that are each 50 sq. cm. so area would be:
<u>Area of 5 Side Surface</u> = 5 * 50 = 250
Total Surface Area = 250 + 43.01 + 43.01 = 336.02 square centimeters
Answer:
$1317.14
Step-by-step explanation:
compounded continuously formula is A=Pe^rt
given that you want to have $1500 in 2 years while the rate is 6.5%, you have A, r, and t of the formula and you are just looking for the P.
plugging everything in...
1500=P (e)^2x0.065
P=1500/1.139
P=1317.14
Answer:
go on photomath
Step-by-step explanation:
Answer:
The first one is by using your mind. If you know that factorial of any non negative integer denoted by n!
defined as
n!=n(n−1)(n−2)⋯3⋅2⋅1
then 5!=5∗4∗3∗2∗1. You can calculate it in your mind which will give you 5!=120.
That's it.
The next method is using your calculator. In my calculator Casio fx-991es, I pressed 5 and then shift+x−1
button and I got 120. Similarly, you can use Google to calculate it like I did and got this.
Step-by-step explanation: