Answer:
y=log_2 (x)
Step-by-step explanation:
We see that the graph passes though the point (2,1). So we can write:
log_a (2) = 1 => a = 2
So it's a log in base 2.
Answer:
For more than 35 miles company A will charge less than company B
Step-by-step explanation:
Let us write the equation of the cost of each company
Company A:
∵ Company A charges $96 for unlimited mileage
∴ The cost of company A = 96
Company B:
∵ Company B charges an initial fee of $75
∵ It charges $0.6 for every mile driven
∵ The number of miles is m
- Multiply m by 0.6 and add 75 to the product
∴ The cost of company B = 75 + 0.6 m
∵ Company A will charge less than company b
∴ 96 < 75 + 0.6 m
- Subtract 75 from both sides
∴ 21 < 0.6 m
- Divide both sides by 0.6
∴ 35 < m
- That means m is greater than 35
∴ m > 35
For more than 35 miles company A will charge less than company B
Cosine (x) = 4 over 5
cos
(
x
)
=
4
5
Explanation:
First you must apply sohcahtoa
it means
sine = opposite side over hypotenuse
sine = opposite/hypotenuse
cosine = adjacent side over hypotenuse
cosine = adjacent/hypotenuse
tangent = opposite side over adjacent side
tangent = opposite/adjacent
then
solve the unknown by applying the Right Triangle Theorem.
draw a right triangle.
label the parts where
a
is the opposite side
b
is the adjacent side
c is the hypotenuse
Solve the unknown. The hypotenuse using
a
2
+
b
2
=
c
2
since the given
tan
x
=
3
4
it means
tan = opposite/adjacent
a
= opposite side =
3
b
= adjacent side =
4
c
= hypotenuse = ??
a
2
+
b
2
=
c
2
substitute the value
(
3
)
2
+
(
4
)
2
=
c
2
9
+
16
=
c
2
25
=
c
2
get the square root of
25
it is equal to
5
therefore
c
=
5
c
= hypotenuse =
5
cos
= adjacent/hypotenuse
cos
(
x
)
=
4
over
5
cos
(
x
)
=
4
5
The paint will not fit the tray by 5.22 in
hope i helped you out in some type of way :)
