Which equation can be used to find the unknown length, a, in this triangle? A right triangle has a side with length 15 meters and hypotenuse with length 17 meters. The other side is labeled a.
a squared + 15 squared = 17 squared
15 squared + 17 squared = a squared
a squared + 15 = 17 squared
a + 15 squared = 17 squared

We know that

Base² + Length ² = Hypotenuse²

(a)² + (15)² = 17²

So,

Option A is correct

If we solve it

(a)² + 225 = 289

(a)² = 289 - 225

(a)² = 64

a = √{64}

a = 8

(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.