Help finding the length of arc RS using 3.14 for pi

Mathematics

2 answers:

jek_recluse [69]3 years ago

8 0

Answer:

the answer is 17

Step-by-step explanation:

katen-ka-za [31]3 years ago

5 0

Answer:

$8.48in$

Step-by-step explanation:

The length of arc RS is given by:

$l=\frac{\theta}{360}\times 2\pi r$

From the diagram the radius is $r=6.48 in$ and the central angle of sector RS is $\theta=150\degree$

We use $\pi=3.14$ and substitute the radius and central angle to obtain:

$l=\frac{150}{360}\times 2\times3.14\times 6.48in$

We simplify to get:

$l=\frac{5}{12}\times 2\times 6.48in$

$l=\frac{5}{6}\times 3.14\times 6.48in^2$

$l=8.48in$

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The lung capacity of the blue whale is 5100L. Convert this volume into gallons. Express your answer to two significant figures a

Vedmedyk [2.9K]

By definition, we have that the conversion of a US gallon to liters is given by:
1 liter = 3.78541 gallons
Therefore, we can apply the following rule of three:
1 liter ---------------------> 3.78541 gallons
5100 liters --------------> x
Clearing x we have:
$x = (5100) * (3.78541)

x = 19305.591$
two significant figures:
$x = 19000
$
Answer:
The lung capacity of the blue whale is:
$x = 19000 gallons$