The given shapes area is found to be 132 square feet.
Step-by-step explanation:
Step 1; To determine the area of an indefinite shape we must divide it into the shapes that we know. The shape that is given can be split into a rectangle with a triangle on top of it.
Step 2; To determine the area occupied by a different shape, we must sum the areas of the triangle and the rectangle. The given rectangle measures a length of 11 feet and a width of 9 feet. The area of any given rectangle is the multiplication of its length and width. Area of Rectangle = Length * Width = 11 feet * 9 feet = 99 square feet.
Any given triangles area is half the multiplication of its base value and its height value. In the given diagram, the base of the triangle measures a length of 11 feet (same as the rectangle's length) and the length from base to top is 6 feet (Entire shape's height which is 15 feet - the calculated value of the rectangle's width which is 9).
Area of Triangle = * base * height = * 11 feet * 6 feet = 33 square feet.
Step 3; To find the total area of the shape we must add the areas of the rectangle and the triangle.
Area of given shape = Area of rectangle + Area of Triangle
Area of given shape = 99 square feet + 33 square feet = 132 square feet.
Answer:
C
Step-by-step explanation:
to find the slope m use the gradient formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (- 6, - 24) and (x₂, y₂ ) = (4, 11) ← 2 points from the table
m = = = → C
Answer:
2 real solutions
Step-by-step explanation:
y = -x^2 + 3x + 5
First find the the discriminant:
using b² - 4(a)(b)
(3)²- 4(-1)(5)
=9+20
=29
since the discriminant is more than 0, there are 2 real solutions
45 for on day 15 and 120 on day 40 because 3x15=45 and 40x3=120