A square rotated about its center by 360º maps onto itself at 4 different angles of rotation. You can reflect a square onto itself across 4 different lines of reflection.
For example:
x+2y=7
6x+7y=2
__________
x=7-2y *
6*(7-2y)+7y=2 **
__________
x=7-2y
42-12y+7y=2
__________
x=7-2y
-5y=-40
__________
x=7-2y
y=8
x=-9
Answer:
the required equation is; y = 21 sin(πt/6)
Step-by-step explanation:
Given the data in the question;
Water rises above sea level = 21 ft
Water drops below sea level = 21 ft
so
maximum = 21 ft and also
minimum = 21 ft
Amplitude = ( maximum + minimum ) / 2
Amplitude = ( 21 + 21 ) / 2
Amplitude = ( 21 + 21 ) / 2 = 42/2 = 21 ft
Period = 12 hours
and we know that; period = 2π/b
so
12 = 2π/b
12b = 2π
b = 2π / 12
b = π/6
Standard equation for simple harmonic is; y = asin(bt)
we substitute
y = 21 sin(πt/6)
Hence the required equation is; y = 21 sin(πt/6)
The art sculpture was 70 inches aka 5.9feet tall and if we round it well it would be 6feet so that would be its highest piont
<u>Answer:</u>
He must sell 190 posters make a profit of $300.
<u>Explanation:
</u>
Given:
Base fee= $270
Fee for supplies= $2
Cost of poster=$5
To find:
The number of posters to be sold to get a profit of $300=?
Solution:
Let the number of posters sold be n.
Now, we know that,
profit = selling price – cost price
$ 300 = $ 5 for each poster – ( $ 270 base fee + $ 2 for each poster)
300 = 5 x n – (270 + 2 x n)
300 = 5n – 270 – 2n
5n – 2n = 300 + 270
3n = 570
n = 190
