Jesus Henderson \begin{tabular}{|l|} Directions: Solve for $$ x $$. Round to the nearest tenth. \ 4.\end{tabular} $$ \sin (28)=\left.\frac{x}{4} ight|^{5 .} $$

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Jesus Henderson \begin{tabular}{|l|} Directions: Solve for $$ x $$. Round to the nearest tenth. \ 4.\end{tabular} $$ \sin (28)=\left.\frac{x}{4}ight|^{5 .} $$

UpStudy AI · Accepted Answer

To solve the equation for $$ x $$:

$$
\sin(28^\circ) = \left(\frac{x}{4}\right)^5
$$

**Step 1: Calculate $$\sin(28^\circ)$$**

$$
\sin(28^\circ) \approx 0.4695
$$

**Step 2: Solve for $$\frac{x}{4}$$**

$$
\left(\frac{x}{4}\right)^5 = 0.4695 \
\frac{x}{4} = \sqrt[5]{0.4695}
$$

**Step 3: Calculate the 5th root**

$$
\sqrt[5]{0.4695} \approx 0.86
$$

**Step 4: Solve for $$ x $$**

$$
x = 4 \times 0.86 = 3.44
$$

**Rounding to the nearest tenth:**

$$
x \approx \boxed{3.4}
$$
$$ x \approx 3.4 $$

Jesus Henderson

Directions: Solve for . Round to the nearest tenth.

4.

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Jesus Henderson Directions: Solve for . Round to the nearest tenth. 4.