What is the value of the expression 2/4^-3?

1 answer:

5 0

$\frac{2}{4^-3} \\ \\ \frac{2}{ \frac{1}{4^3} } \\ \\ \frac{2}{ \frac{1}{64} } \\ \\ 2 \times 64 \\ \\ 128 \\ \\ Answer: \fbox {128}$

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Allen runs 8 miles in 3 hours at a steady pace. how long does it take him to run 3 miles

Amiraneli [1.4K]

$\begin{array}{ccc}8miles&-&3hours\\\\3miles&-&xhours\end{array}\\\\8x=3\cdot 3\\\\8x=9\ \ \ \ /:8\\\\x=\frac{9}{8}\\\\x=1\frac{1}{8}\ (h)$

$v=\frac{8}{3}\ mph\\\\s=3miles\\\\t=s:v\\\\t=3:\frac{8}{3}=3\cdot\frac{3}{8}=\frac{3}{1}\cdot\frac{3}{8}=\frac{9}{8}=1\frac{1}{8}\ (h)$

4 0

3 years ago

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Find the measure of a central angle that intercepts an arc of 81.5 cm in a circle whose radius is 16.3 cm.

Paul [167]

Answer:

5 rad

Step-by-step explanation:

Recall that the length of an arc of circumference is given by the formula:

$Arc\,Length=\theta\,*\,radius$ , where $\theta$ is the subtended angle [in radians] from the circumference's center.

Therefore in this case, you know the arc length (81.5 cm), and the radius (16.3 cm), and can solve for the angle $\theta$ using the above equation as shown below:

$Arc\,Length=\theta\,*\,radius\\81.5\,cm = \theta\,*\,16.3\,cm\\\frac{81.5}{16.3} = \theta\\\theta=5\,rad$