Which expressionuses the associatice property to make it easier to evaluate 6 (1/3 x 7/5)

Mathematics

1 answer:

ozzi4 years ago

4 0

Answer:

Step-by-step explanation:

6(1/3X7/5)=(6X1/3)X7/5

6X7/15=6/3X7/5

14/5=14/5 (ASSOCIATIVE LAW)

You might be interested in

Θ is in Quadrant III and cos^2 0= 1/4

pychu [463]

I think you mean to say $\cos^2\theta=\dfrac14$ . If $\theta$ is in the third quadrant, then $\sin\theta$ and $\cos\theta$ . Recall that

$\sin^2\theta+\cos^2\theta=1\implies\sin\theta=\pm\sqrt{1-\cos^2\theta}$

We expect $\sin\theta$ to be negative, so we take the negative root. We end up with

$\sin\theta=-\sqrt{1-\dfrac14}=-\dfrac{\sqrt3}2$

We also know to expect $\cos\theta$ , so

$\cos\theta=\pm\sqrt{\dfrac14}\implies\cos\theta=-\dfrac12$

By definition, we have

$\cot\theta=\dfrac{\cos\theta}{\sin\theta}$

and so

$\cot\theta=\dfrac{-\frac12}{-\frac{\sqrt3}2}=\dfrac1{\sqrt3}$

7 0

3 years ago

∠xangle, x and \angle y∠yangle, y are supplementary angles. \angle y∠yangle, y measures 142^\circ142 ∘

lina2011 [118]

Answer:

Angle x = 38°

Step-by-step explanation:

It is important to note that:

Two angles are called supplementary when their measures add up to 180 degrees.

Angle x and y are supplementary

Angle y = 142°

Hence,