Answer:
77°
Step-by-step explanation:
there's a rule, look it up
Answer:
-3 = ln(0.05)
Step-by-step explanation:
Taking the natural log of both sides of the equation gives ...
-3·ln(e) = ln(0.05)
The natural log of e is 1, so the equation becomes ...
-3 = ln(0.05)
Answer:
20x
Step-by-step explanation:
A certain map scale in which 1/2 inch on the map represents an actual distance of 10 miles. A distance of x miles is represented by how many inches on this map?
From the above question:
1/2 inch = 10 miles
x inches = m
Cross Multiply
1/2m = 10x
m = 10x ÷ 1/2
m = 10x × 2
m = 20x
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 agent earned $30,100 in commission.
you first have to break up the number 585,000 into 500,000 and 85,000.
next, you find the commission on the first $500,000. 5% of 500,000 is 25,000.
after finding the commission for the first 500,000, you need to find the commission to the $85,000 dollars we still have.
6% of $85,000 is $5,100.
$25,000 + $5,100 = $30,100 in commission. hope this helps !
