The original price stands at $450.
Step-by-step explanation:
Step 1:
Given information, Discount%, D% = 30 and Selling Price, SP = $315
Step 2:
Formulate the equation for determining the Original Price
Selling Price (SP) = Original Price (OP) - Discount (D)
Discount (D) = Original Price (OP) * (D%/100)
Step 3:
Plug in the known values into the formula
315 = OP - D
D = 
D = 0.3 OP
Step 4:
Insert the value of D back into the initial equation
315 = OP - 0.3 OP
315 = OP (1 - 0.3) = 0.7 OP
A resulting Original Price of OP = 315/0.7 = $450
Given the specified angles, one is 90 degrees, indicating that the triangle is a right triangle. With provided angles and one side representing the hypotenuse (the longest side), the area is determined using the formula: Area = 1/2 * base * height. Let's compute the height and base:
From sin 75, we derive height = 1.67.
And from cos 75, we obtain base = 0.45.
Calculating area gives us Area = (0.45 * 1.67) / 2, resulting in 0.37 square units.
Thus, the triangle's area is approximately 0.37 square units.