Answer:
The area of the pentagon is 193.45 square inches.
Step-by-step explanation:
In order to solve this question we need to use the appropriate formula for the pentagon's area shown below:
area = (p*a)/2
Where p is the perimeter for the pentagon and a is it's apothem.
area = (53*7.3)/2 square inches
area = 386.9/2 square inches
area = 193.45 square inches
The area of the pentagon is 193.45 square inches.
First, in order to find the length of side w, you must first find the angle W.
A triangle must be 180 degrees in total. 93 + 37 makes the triangle only have 130 at the moment.
180 - 130 = 50
So angle W is 50 degrees
Now using this, we can use law of sines.

Now multiply sin 50 on both sides. It can be written like so:

Now plug this in a calculator.
Answer is 39.5
Answer:
The equation representing the given situation is 1.50 X + 2 Y = 90
Step-by-step explanation:
Let X be the number of hamburgers purchased.
The cost of 1 hamburger = $1.50
So, the amount spent on X burgers = X times (cost of each burger)
= X($1.50) = 1.50 X
Y be the number of turkey burgers purchased.
The cost of 1 turkey burger = $2
So, the amount spent on Y turkey burgers = Y times (cost of each burger)
= Y($2) = 2 Y
Total amount spent on both type both burgers= $ 90
⇒ Money spent on hamburger + Money spent on turkey burger = $90
or, 1.50 X + 2 Y = $90
Hence, the equation representing the given situation
is 1.50 X + 2 Y = 90