Answer:
150.08 inches
Step-by-step explanation:
The question simply requires that we find the length of the arc that the dog walks.
Its leash rotates through 150° and the length of the leash (radius) is 60 inches.
The length of an arc is given as:
L = α/360 * 2πR
where α = angle of arc
R =radius
Therefore:
L = 150/360 * 2 * π * 60
L = 150.08 inches
The dog walks 150.08 inches
Answer:
75%
Step-by-step explanation:
Answer: The result can be shown in multiple forms.
Exact Form:
−
√
3
/2
Decimal Form:
−
0.86602540
…
Step-by-step explanation:
Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Make the expression negative because sine is negative in the fourth quadrant.
−
sin
(
π/3
)
The exact value of
sin
(
π
/3
) is √
3
/2
.
−
√
3
/2
Answer:
$80 interest will be owed for 4 months
Step-by-step explanation:
P is the principal amount, $4000.00.
r is the interest rate, 8% per year, or in decimal form, 8/100=0.08.
t is the time involved, 3....month(s) time periods.
Since your interest rate is "per year" and you gave your time interval in "month(s)" we need to convert your time interval into "year" as well.
Do this by dividing your time, 3- month(s), by 12, since there's 12 months in 1 year.
So, t is 0.25....year time periods.
To find the simple interest, we multiply 4000 × 0.08 × 0.25 to get that
Answer:
<em>X = 29.9</em>
Step-by-step explanation:
<u>Trigonometric Ratios
</u>
The ratios of the sides of a right triangle are called trigonometric ratios.
The longest side of the triangle is called the hypotenuse and the other two sides are the legs.
Selecting any of the acute angles as a reference, it has an adjacent side and an opposite side. The trigonometric ratios are defined upon those sides.
Selecting the angle of 18°:
Tangent Ratio:
Solving for X:
Operating:
X = 29.9
