Hi,
Your answer would be: −2x4+10x3−21x2+19x−4
Hope I could help!~ have a good day/night :]
The shape in the figure has 6 sides
The choice that describes the group the shape belongs to is (a) parallel sides, acute angles
<h3>How to determine the group of the shape?</h3>
From the figure, we have the following highlights
- The shape has 6 sides
- The direct opposite sides are equal
- The direct opposite sides are parallel
- The measure of angles between adjacent sides are less than 90 degrees i.e. acute angles
The above highlight mean that:
The shape belongs to parallel sides, acute angles group of shapes
Hence, Angela's conclusion is correct
Read more about polygons at:
brainly.com/question/1592456
Answer: the actual amount that Luke paid including tax is $55.65
Step-by-step explanation:
The initial price of the jacket is $75.
Luke bought a jacket that was 30% off the cost. This means that the amount of discount on the Jacket is
30/100 × 75 = 0.3 × 75 = $22.5
The price of the jacket after the discount had been applied is
75 - 22.5 = $52.5
He paid sales tax of 6% after the discount had been applied. This means that the amount of sales tax that he paid on the jacket is
6/100 × 52.5 = 0.06 × 52.5 = 3.15
Therefore, the actual amount that Luke paid including tax is
52.5 + 3.15 = $55.65
Why don't you first try to use the cosine law to solve for an angle and then make use of the sin law to solve for the remaining angles.
Cosine law
C^2 = A^2 + B^2 - 2AB(cos C)
Solve for cos C, and then take the inverse of the trig ratio to solve for the angle.
Then set up a proportion like you have done using the sin law and solve for another angle. Knowing the sum of all angles in a triangle add up to 180 degrees, we can easily solve for the remaining angle.
