Answer:
c = 68
Step-by-step explanation:
Use pythagorean theorem, which states that 
.
In this diagram, we are given the values of a and b.
a = 32 b = 60
Simply put these into the equation.
(32)^2 + (60)^2 = c^2
1024 + 3600 = c^2
4624 = c^2
Find the square root of both sides to solve for c.
= c
c = 68
Sqrt(6x-24) = x - 4
6x - 24 = (x - 4)^2
x^2 - 14x + 16 = 0
x=10 / x=4
Answer:
$283
Step-by-step explanation:
Let,
x - for $2 notes
x + 16 - for $5 notes
EQUATION:
(x) + (x + 16) = 74
2x = 74 - 16
2x = 58
x = 29
SUBSTITUTE
x = 29 pieces of $2 notes
x + 16 = 29 + 16 = 45 pieces of $5 notes
TOTAL VALUE IS:
(29 x $2) + (45 x $5) = $283
Answer:
38.7°.
Step-by-step explanation:
from trigonometrical ratios
SO TO CA
H A H.
Tan°=opposite/adjacent.
Tan°=48/60
Tan°=0.8000
°= Tan-1(0.8000)
°=38.65°≈38.7°
Now before taking the inverse tangent of both sides, recall that
where
is any integer. This means that when taking the inverse tangent of
, instead of just
, we would end up with
So after doing so in the equation above, we're left with
As
can be any integer, including negative integers, we can simply write
