Step-by-step explanation:
Equation of given line is:

Thus, the slope of required line is 2.
This dress will be sold in the boutique for $6,716.25.
<h3><u>Price calculation</u></h3>
Given that a new style of dress will take 180 hours of work to complete, and twenty percent of this time is for beading, thirty-five percent of this time is for adding ruffles, and the remaining time is divided equally between embroidery and sewing, and when pricing this style, hourly labor and material costs are $40 for beading, $35 for ruffles, $20 for embroidery, and $18 for sewing, and the dress is then sold in the showroom for 25% more than the cost of labor and materials, To determine how much this dress will sell for in the boutique, the following calculation must be made:
- (((180 x 0.25) x 40) + ((180 x 0.35) x 35) + ((180 x 0.20) x 20) + ((180 x 0.20) x 18)) x 1.25 = X
- ((45 x 40) + (63 x 35) + (36 x 20) + (36 x 18)) x 1.25 = X
- (1800 + 2205 + 720 + 648) x 1.25 = X
- 5373 x 1.25 = X
- 6,716.25 = X
Therefore, this dress will be sold in the boutique for $6,716.25.
Learn more about price calculation in brainly.com/question/14695611
First we write equation that consist coordinates of center and radius. That formula goes like this:
(x-x1)^2 + (y-y1)^2 = r^2
x and y are coordinates on any point on circle
x1 and y1 are coordinates of center of circle.
r is radius of that circle. now we need to express our values for center and radius andf square binoms and see what matches in our options.
(x-3)^2 + (y-8)^2 = 5^2
x^2 + y^2 -6x -16y +48 = 0
The answer is first option.
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
0.030 because 3 times 10 is 30 so replace the 0 with a 3 and move the 0 after the 3.