Answer:
Nope! It's irrational.
it would be if it was 53/12 tho!
Answer: option D is the correct answer.
Step-by-step explanation:
The composite figure consists of a triangle and a rectangle.
The triangle can be divided into 2 equal right angle triangle because it is an isosceles triangle.
The base of the isosceles triangle is 2 + 2 + 2 = 6 inches
The base of each right angle triangle = 6/2 = 3 inches
To determine the height,h of the triangle, we would apply Pythagoras theorem.
Hypotenuse² = opposite side² + adjacent side²
5² = 3² + h²
h² = 25 - 9 = 16
h = √16 = 4
The formula for determining the area of a right angle triangle is expressed as
Area = 1/2 × base × height
Area = 1/2 × 3 × 4 = 6 inches²
Area of the isosceles triangle
= 6 × 2 = 12 inches²
Area of the rectangle is
3.5 × 2 = 7 inches²
Area of the composite figure is
12 + 7 = 19 inches²
Step-by-step explanation:
Given,
6x - 5y = 10.5 .............. (1)
5x - 3y = -2 .................. (2)
Multiplying eq (1) by 3 and (2) by 5 then subtracting,
18x - 15y = 31.5
(-) 25x - 15y = -10
-----------------------------
-7x = 41.5
x = - 41.5 / 7 = -83 / 14
Inserting the value of x in eq (2)
5 * (-83 / 14) - 3y = -2
y = -129 / 14
x = -83 /14 and y = -129 /14