Option B: 13.9 is the value of y
Explanation:
Given triangle is a right angled triangle.
The legs of the triangle are 8 and y.
The hypotenuse of the triangle is x.
And the angle opposite to y is 60°
We need to determine the value of y.
Let us find the value of y using the tangent formula.
The formula for tan is given by
Since, we know that 
, 
and 
Substituting these values in the formula, we get,
Multiplying both sides by 8, we have,
Substituting the value of 
, we get,
Simplifying, we have,
Rounding off, we get,
Thus, the value of y is 13.9
Hence, Option B is the correct answer.
I would just punch it in a calculator...
Answer:
122.04 sales tax.
Step-by-step explanation:
1525.50+8% tax =1647.54
Answer:
Let
a
=
8
and
b
=
8.5
Let the angle between
a
and
b
be
θ
Let the unknown side be
c
As
θ
→
0
,
88
c
→
0.5
As
θ
→
180
∘
,
88
c
→
16.5
So the lenght of side
c
will be in the interval:
0.5
<
c
<
16.6
Step-by-step explanation:
Simplifying
8.7 = 3.5m + -2.5(5.4 + -6m)
8.7 = 3.5m + (5.4 * -2.5 + -6m * -2.5)
8.7 = 3.5m + (-13.5 + 15m)
Reorder the terms:
8.7 = -13.5 + 3.5m + 15m
Combine like terms: 3.5m + 15m = 18.5m
8.7 = -13.5 + 18.5m
Solving
8.7 = -13.5 + 18.5m
Solving for variable 'm'.
Move all terms containing m to the left, all other terms to the right.
Add '-18.5m' to each side of the equation.
8.7 + -18.5m = -13.5 + 18.5m + -18.5m
Combine like terms: 18.5m + -18.5m = 0.0
8.7 + -18.5m = -13.5 + 0.0
8.7 + -18.5m = -13.5
Add '-8.7' to each side of the equation.
8.7 + -8.7 + -18.5m = -13.5 + -8.7
Combine like terms: 8.7 + -8.7 = 0.0
0.0 + -18.5m = -13.5 + -8.7
-18.5m = -13.5 + -8.7
Combine like terms: -13.5 + -8.7 = -22.2
-18.5m = -22.2
Divide each side by '-18.5'.
m = 1.2
Simplifying
m = 1.2
