Answer:
Step-by-step explanation:
cos (x/2)=cos x+1
cos (x/2)=2cos ²(x/2)
2 cos²(x/2)-cos (x/2)=0
cos (x/2)[2 cos (x/2)-1]=0
cos (x/2)=0=cos π/2,cos (3π/2)=cos (2nπ+π/2),cos(2nπ+3π/2)
x/2=2nπ+π/2,2nπ+3π/2
x=4nπ+π,4nπ+3π
n=0,1,2,...
x=π,3π
or x=180°,540°,...
180°∈[0,360]
so x=180°
or
2cos(x/2)-1=0
cos (x/2)=1/2=cos60,cos (360-60)=cos 60,cos 300=cos (360n+60),cos (360n+300)
x/2=360n+60,360n+300
x=720n+120,720n+300
n=0,1,2,...
x=120,300,840,1020,...
only 120° and 300° ∈[0,360°]
Hence x=120°,180°,300°
(15 qt/hr) x (1/4 gal/qt) x (1/60 hr/min) =
(15) / (4 x 60) = 0.0625 gal/min
The answer is B
because at first y was equal to 15 and x equaled to 3 the quotient of 15/3 = 5.
now the y is 60 so, 60/5 = 12
Answer:
x
=
√
y
+
5
3
Explanation:
To find the inverse of a function expressed as
XXX
y
=
an expression in
x
rearrange the expression into the form:
XXX
x
=
an expression in
y
Given
XXX
y
=
3
x
2
−
5
Switch sides and add
5
to both sides
XXX
3
x
2
=
y
+
5
Divide both sides by
3
XXX
x
2
=
y
+
5
3
Take the square root of both sides
XXX
x
=
±
√
y
+
5
3
Since we were asked for an inverse function, I've eliminated the non-primary root (a function can not have two values for a single argument value).
Therefore
XXX
x
=
instead of Y do G
Step-by-step explanation:
<span>Hypotenuse = 26 mm </span>
1st Leg = 10 mm
Other Leg = x.
By Pythagoras Theorem:
x² + 10² = 26²
<span>x² + 100 = 676 </span>
x² = 676 - 100
x² = 576
x = √576
x = 24
<span>The other leg is 24 mm</span>
