#3 is correct at 120.4
#4 is 15/8...because 3/4+3/4=6/4 (for 20 doors) plus 3/8 (which is half of 3/4 for 5 more doors) equals 15/8 gallons or 1.875 gallons
#5 is $812.50 because if 50 shares cost $125, 325 shares (125×6.5) equals 812.50
Answer:
Step-by-step explanation:
Since the length of both legs of the right angle triangle are given, we would determine the hypotenuse, h by applying Pythagoras theorem which is expressed as
Hypotenuse² = one leg² + other leg²
Therefore,
h² = (3a)³ + (4a)³
h² = 27a³ + 64a³
h² = 91a³
Taking square root of both sides,
h = √91a³
The formula for determining the perimeter of a triangle is expressed as
Perimeter = a + b + c
a, b and c are the side length of the triangle. Therefore, the expression for the perimeter of the right angle triangle is
√91a³ + (3a)³ + (4a)³
= √91a³ + 91a³
10x^2-4x is your answer! :)
Answer:
∡x = 74º
Step-by-step explanation:
∡x= 180º - 106 = 74º