Answer:
83 in²
Step-by-step explanation:
To calculate, add the areas of all three shapes that make up the polygon.
Area of rectangle = L×W = 5×8 = 40 in².
Area of top triangle = 1/2×b×h = 1/2×8×7=28 in².
Area of triangle on the right = 1/2×6×5 = 15 in².
Total area = 40+28+15 = 83 in²
The value of the addition operation is 2.38157 x 10^19
<h3>How to add the numbers/expressions?</h3>
The numbers are given as:
2.35 x 10^19 and 3.157 x 10^17.
Express as sum
2.35 x 10^19 + 3.157 x 10^17.
Express 10^17 as 10^19 * 10^-2
So, we have:
2.35 x 10^19 + 3.157 x 10^19 * 10^-2
Factor out 10^19
(2.35 + 3.157 * 10^-2) x 10^19
Express 10^-2 as 0.01
(2.35 + 3.157 * 0.01) x 10^19
This gives
(2.35 + 0.03157) x 10^19
Evaluate the sum
2.38157 x 10^19
Hence, the value of the addition operation is 2.38157 x 10^19
Read more about addition at:
brainly.com/question/24536701
#SPJ1
<h3>
Answer: (1,4)</h3>
======================================================
Explanation:
The notation <-5,2> is the same as writing the translation rule
It says: move 5 units to the left and 2 units up
The point (6,2) moves to (1,2) when moving five units to the left. Then it ultimately arrives at (1, 4) after moving 2 units up. You could move 2 units up first and then 5 units to the left later on, and you'd still arrive at (1, 4). In this case, the order doesn't matter (some combinations of transformations this won't be the case and order will matter).
---------
Or you could write out the steps like so
We see that (6,2) moves to (1, 4)
The full sequence from 3 to 21 is...
3, 5, 7, 9, 11, 13, 15, 17, 19, 21
Now first add 3 and 5 to get 8. Then 8 and 7 to get 15. After, add 15 and 9 to get 24 and furthermore.
(24+11=35 --> 35+13=48 --> 48+15=63 --> 63+17=80 --> 80+19=99 --> 99+21=120)
So I believe the sum of the sequence is 120
I hope this helps!