Answer:
The answer to your question is Triangle's area = 520 in², Square's area = 576 in²
Step-by-step explanation:
Process
1.- Calculate the area of the triangle
-Find the length of the base using the Pythagorean theorem
c² = a² + b²
-Solve for b²
b² = c² - a²
-Substitution
b² = 37² - 35²
-Simplification
b² = 1369 - 1225
b² = 144
b = 12 in
-Find the base
base = 2(12) = 24 in
-Find the area of the triangle
Area = base x height / 2
-Substitution
Area = 24 x 35 / 2
-Simplification
Area = 420 in²
2.- Find the area of the square
Area = side x side
-Substitution
Area = 24 x 24
-Result
Area = 576 in²
Answer:
1/6 as an decimal would be, 0.1666 Continued
Step-by-step explanation:
9514 1404 393
Answer:
(-3, 3)
Step-by-step explanation:
The midpoint of a line segment is the average of the end point coordinates:
((1, 1) +(-7, 5))/2 = (1 -7, 1 +5)/2 = (-6, 6)/2 = (-3, 3) . . . midpoint coordinates
For this case we must solve the following system of equations:
To solve we follow the steps below:
We multiply the second equation by -3:
Thus, we have the equivalent system:
We add the equations:
We look for the value of the variable "y":
Thus, the solution of the system is given by:
Answer:
