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2 years ago

9

The radius of a circle is 8 inches. find the number of radians in the central angle of the circle which intercepts an arc of 4 i

nches.

2 answers:

vodka [1.7K]2 years ago

7 0

Answer:

0.5

Step-by-step explanation:

this says one half but that is not an option choice and some people may not realize that 0.5 is the equivalent

Grace [21]2 years ago

3 0

$\sf Hello!$

• $\sf Radius, \:r = 8\: in.$

$\sf Circumference\: of\: the\: circle$ = $\sf 2$ π $\sf r = \sf 2\cdotπ\cdot \sf 8 = \sf 16$ π $\sf in.$
$\sf with\: central\: angle\: of\: 2$ π $\sf radians$

$\sf Then,$

• $\sf Length\: of\: Arc$ = $\sf 4 \:in.$

$\dfrac{\sf 4}{\sf 16π} × \sf 2π$ = $\dfrac{\sf 1}{\sf 2} \: \sf radian$

~ $\sf iCarl$

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Here is your answer:

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2 years ago

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3. Consider the following information.P(Z) = 0.73P(A) = 0.25P(Z and A) = 0.15Part A: Determine P(Z|A).Part B: Determine P(AZ).I

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4 0

1 year ago

Air has a density of 0.001226 g/mL. What volume of air would have a mass of 1.0 lb? A. 2.7 mL B. 815.6 mL C. 37 mL D. 3.7 × 102

Andre45 [30]

Answer:

$Volume = 3.7\ * 10^2\ L$

Step-by-step explanation:

Given

$Density = 0.001226 g/mL$

$Mass = 1.0\ lb$

Required

Determine the volume of air

Density is calculated using:

$Density = \frac{Mass}{Volume}$

Substitute values for Density and Mass

$0.001226 g/mL = \frac{1.0\ lb}{Volume}$

Convert lb to grams

$0.001226 g/mL = \frac{1.0 * 453.592\ g}{Volume}$

$0.001226 g/mL = \frac{453.592\ g}{Volume}$

Solve for Volume

$Volume = \frac{453.592\ g}{0.001226 g/mL}$

$Volume = 369977.161501\ mL$

Convert mL to L

$Volume = 369977.161501\ L * 0.001$

$Volume = 369.977161501\ L$

Represent using scientific notation

$Volume = 3.69977161501\ * 10^2\ L$

Approximate

$Volume = 3.7\ * 10^2\ L$

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3 years ago