Answer:
12 months
Step-by-step explanation:
Theres an awful amount of needless information to get through.
Only the last paragrph is needed.
C(t) = 180 + 10t
C(t) = 25t
Set the equations equal
25t = 180 + 10t
Subtract 10t from both sides
15t = 180
Divide both sides by 15
t = 12
Answer:
∠KJL = 45°
∠x=45°
∠DBC=67.47°
Step-by-step explanation:
x+x=90
2x=90
x=45°
Yeah his answer is correct Good job!
Step-by-step explanation:
tan x = 3/4
Tangent is opposite over adjacent, so draw a right triangle with angle x where the opposite side is 3 and the adjacent side is 4.
Use Pythagorean theorem to find the hypotenuse:
c² = 3² + 4²
c² = 25
c = 5
Sine is opposite over hypotenuse, so:
sin x = 3/5
Answer (x,y) (3, -2)
Explanation:
using the
substitution method
y
=
x
−
5
→
(
1
)
y
=
−
2
x
+
4
→
(
2
)
since both equations are expressed in terms of x we
can equate them
⇒
x
−
5
=
−
2
x
+
4
add 2x to both sides
2
x
+
x
−
5
=
−
2
x
+
2
x
+
4
⇒
3
x
−
5
=
4
add 5 from both sides
3
x
+
5
−
5
=
4
+
5
⇒
3
x
=
9
divide both sides by 3
3
x
3
=
9
3
⇒
x
=
3
substitute this value in
(
1
)
y
=
3
−
5
=
−
2
As a check
substitute these values into
(
2
)
right
=
−
6
+
4
=
−
2
=
left
⇒
point of intersection
=
(
3
,
−
2
)