$|4x-1|=7\iff4x-1=7\ \vee\ 4x-1=-7\qquad\text{add 1 to both sides}\\\\4x=8\ \vee\ 4x=-6\qquad\text{divide both sides by 4}\\\\x=2\ \vee\ x=-\dfrac{6}{4}\\\\x=2\ \vee\ x=-1.5$

5 0

3 years ago

Find the measure of each angle indicated. Round to the nearest tenth.

Sladkaya [172]

Answer:

Step-by-step explanation:

So we want to find<em> θ. </em>We are already given the hypotenuse and the side length opposite to <em>θ. </em>Therefore, we can use the trig function sine to find <em>θ. </em>

Recall that:

$\sin(\theta)=opp/hyp$

Plug in 10.2 for the opposite side and 15 for the hypotenuse:

$\sin(\theta)=10.2/15$

Solve for <em>θ. </em>Use a calculator:

$\theta=\sin^{-1}(10.2/15)\\\theta\approx42.8436\textdegree$

The answer is D.

5 0

3 years ago