Answer:
Step-by-step explanation:
we know that
In a join variation, If j varies jointly with respect to g and v, the equation will be of the form 
where k is a constant
step 1
Find the value of k
we have
j=2,g=4,v=3
substitute and solve for k
The equation is equal to
step 2
Find the value of j when g=8,v=9
substitute the values in the equation and solve for j
Step-by-step explanation:
The value of all the angles in a triangle add up to 180.
So to find x do 180-(66+52)
The angle opposite of x is the same value as x
X+E or X+Z are both equal to 180.
Answer:
Step-by-step explanation:
Numerator
sin
x
cos
y
+
cos
x
sin
y
−
[
sin
x
cos
y
−
cos
x
sin
y
)
=
sin
x
cos
y
+
cos
x
sin
y
−
sin
x
cos
y
+
cos
x
sin
y
=
2
cos
x
sin
y
Denominator
cos
x
cos
y
−
sin
x
sin
y
+
cos
x
cos
y
+
sin
x
sin
y
=
cos
x
cos
y
−
sin
x
sin
y
+
cos
x
cos
y
+
sin
x
sin
y
=
2
cos
x
cos
y
---------------------------------------------------------------
left side can now be expressed as
2
cos
x
sin
y
2
cos
x
cos
y
=
2
cos
x
sin
y
2
cos
x
cos
y
=
sin
y
cos
y
and
sin
y
cos
y
=
tan
y
=
right side hence proved
Answer:
I simply listed the factors of 24, and tested which ones worked in this equation: P = 2a + 2b.
So the factors listed were:
24 x 1
12 x 2
8 x 3
6 x 4
After testing each one of these, 6 and 4 had worked for me.
P = 2(6) + 2(4)
P = 12 + 8
P = 20
Therefore, the dimensions of this rectangle are 6 and 4.
Step-by-step explanation:
