Answer:
s = 6, r = 8 or s = 4, r = 7
Step-by-step explanation:
2r - s = 10
2r = 10 + s
r = 5 + s/2 --(1)
rs - s^2 = 12 --(2)
sub (1) into (2):
(5 + s/2)s - s^2 = 12
5s + 0.5s^2 - s^2 = 12
-0.5s^2 + 5s - 12 = 0
s^2 - 10s + 24 = 0
(s - 6)(s - 4) = 0
therefore s = 6 or s = 4
when s = 6, r = 8 and when s = 4, r = 7
if you would like to discover more about simultaneous equations, you can have a look at my Instagram page (learntionary). I'll be posting mathematics related stuff there and some of my notes (simultaneous enq notes are already posted!)
Savings account100 shares x $9.75 = $975, then multiplied by 0.045 will result to $43.89.
Stock100 shares x $9.75 = $975, then multiplied by 0.08 will result to $78.00.
So, the difference between your stocks and savings account by end of the year is $34.11 ($78.00 deducted by $43.89).Your stock is gaining higher APR by $34.11 than what's calculated in your savings account.
< P is a right angle.....a right angle is 90 degrees.
< P and < Q form a linear pair....a linear pair, when added, = 180 degrees
so if < P is 90.....and when added to < Q = 180...
90 + Q = 180
Q = 180 - 90
Q = 90 <== so < Q is also a right angle...measures 90 degrees
Step-by-step explanation:
5x +10° + 58° = 11x + 2°( Exterior angle of a triangle is equal to the sum of two opposite interior angles)
5x + 68° = 11x + 2°
11x - 5x = 68° - 2°
6x = 66°
x = 66° / 6
Therefore x = 11°
Hope it will help you :)
Answer:
x = 9
FGH = 5x-3 = 42°
HGI = FGH = 42°
FGI = 42+42= 84°
Step-by-step explanation:
5x - 3 = 6x - 11
x = 9
