The sum of a whole number A and a whole number B is 16, and the ratio A: B is equivalent to 5: 3. Find A and B.

A is 10; B is 6

Step-by-step explanation:

Let the sum of a whole number A and a whole number B = 16

A + B = 16

The ratio A: B = 5: 3

Possible whole numbers whose ratio gives 5 : 3 are 10 and 6, 15 and 9, 20 and 12 etc. However, since A + B must equal 16, only 10 and 6 fulfil the condition

So, let A be 10, while B is 6

10 + 6 = 16

The ratio 10 : 6 = 10/6 = 5/3

Thus, the value of A is 10; while B is 6

answer:   28.56 feet (approx)

step-by-step explanation:

since, triangle abc has measure of angle c equal to 55 degrees, measure of angle abc equal to 90 degrees, and length of bc equal to 20 feet.

we have to find out the measurement of segment ab.

therefore, tan 55° =

but bc = 20 feet.

⇒ tan 55 ° =  

⇒ ab = 20 × tan 55 °

⇒ ab = 20 × 1.42814800674

⇒ ab = 28.5629601348   ≈ 28.56 feet