the length of the triangle is 14 cm and the height is 10 cm and the breadth is c find the value of c.

c =

Step-by-step explanation:

Pythagorean Theorem

14 = a

b = 10

196 + 100 =

296 =

c =

c = 2\sqrt{74}274

a^{2}+b^{2} =c^{2}a2+b2=c2

14 = a

b = 10

14^{2} + 10^{2} = c^{2}142+102=c2

196 + 100 = c^{2}c2

296 = c^{2}c2

c = 

(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.