3 years ago

In ΔQRS, the measure of ∠S=90°, RQ = 13, SR = 12, and QS = 5. What ratio represents the tangent of ∠Q?

Mathematics

1 answer:

Olenka [21]3 years ago

3 0

Answer:

2.4

Step-by-step explanation:

RSQ is a right anle triangle

tan(Q) = opposite/adjacent

tan(Ql = SR/QS

tan(Q = 12/5 = 2.4

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If a: b= 3:4 then find the value of<br>(6a-3b :(5a + 2b)

KengaRu [80]

Answer:

6 : 23

Step-by-step explanation:

$a : b = 3 : 4 ....(given)\\ \\ let \: a = 3x \\ b = 4x \\ \\ (6a - 3b) : (5a + 2b) \\ \\ = \frac{(6a - 3b)}{(5a + 2b)} \\ \\ = \frac{6(3x) - 3(4x)}{5(3x) + 2(4x)} \\ \\ = \frac{18x- 12x}{15x+ 8x} \\ \\ = \frac{6x}{23x} \\ \\ = \frac{6}{23} \\ \\ (6a - 3b) : (5a + 2b) = 6 : 23$