Area between two shapes. Geometry IXL pls help !

The answer to your question is A = 441.50 km²

Step-by-step explanation:

Data

Big triangle           Small triangle

base = 33 km       base = 19 km

height = 40 km     height = 23 km

Process

1.- Calculate the area of the big triangle

Area = base x height / 2

Substitution

Area = 33 x 40 / 2

        = 1320 / 2

        = 660 km²

2.- Calculate the area of the small triangle

Area = 19 x 23 / 2

        = 437 / 2

        = 218.5 km²

3.- Subtract the small area to the big area

Share area = 660 - 218.5

                 = 441.50 km²

Step-by-step explanation:

The given figure is a right angle triangle. The formula for determining the area of a triangle is expressed as

Area = 1/2 × base × height

Considering the outer triangle,

Base = 33km

Height = 40km

Area = 1/2 × 33 × 40 = 660km²

Considering the inner triangle,

Base = 19km

Height = 23km

Area = 1/2 × 19 × 23 = 218.5km²

The area of the shaded region = Area of outer triangle - area of inner triangle. It becomes

660 - 218.5 = 441.5 km²

for this case we must apply distributive property to the following expression:

the distributive property states that:

then, when applying the property we have to multiply the -2 for each term within the parenthesis:

(a) {a₁, a₁r, a₁r², … a₁rⁿ⁻¹, …}

(b) $59 398

step-by-step explanation:

(a) the annual sequence of profits

aₙ = a₁rⁿ⁻¹

the model for the sequence of profits is {a₁, a₁r, a₁r², … a₁rⁿ⁻¹, …} .

(b) profit after 15 yr

  a₁ = $ 30 000

  r = 1.05

a₁₅ = 30 000 × 1.05¹⁴

a₁₅ = 30 000 × 1.979 93

a₁₅ = $59 398

the profit in year 15 will be $59 398.