Answer:
Perimeter = 32.3
Area = 95.24
Step-by-step explanation:
Given:
△ABC, m∠A=60°
m∠C=45°, AB = 9
To find:
Perimeter of △ABC
Area of △ABC
Solution:
Using angle sum property in a triangle:
m∠A + m∠B + m∠C = 180°
m∠B = 180° - 45° - 60° = 75°
As per Sine Rule:

Where
is the side opposite to 
is the side opposite to 
is the side opposite to 


Perimeter of △ABC = AB + BC + AC = 9 + 11.08 + 12.22 = <em>32.3</em>
<em></em>
Area of a triangle is given as:


Laura paddles in her canoe at a speed of 5 mph for 5 miles.
As we know that

Substitute the values we get

Laura hops on her windsurfer and sails for 12 miles at a speed of 6 mph.
Again using the above formula we can write

Hence from equation (i) and (ii), we can say total time of travel
The answer for the exercise shown above is the option B, which is: 
The explanation is shown below:
To list the powers of the polynomial given in the problem above in descending order, you must write the terms from the highest degree to the lowest degree. You have that the highest degree is

and the lowest degree is

(Because

. Therefore, you have that the correct option is the option B.
To find the amount of fabric for one side of the purse you will find the area of the trapezoidal space that is created. The latch is on the top, so the 2 in is not necessary information.
A = 1/2 h(b1 + b2)
1/2 x 13 x (10 + 16)
A = 169 square inches of fabric will be needed.