Find the value of tan W rounded to the nearest hundredth, if necessary.

Mathematics

1 answer:

jek_recluse [69]3 years ago

5 0

$\textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2 \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\[-0.35em] ~\dotfill\\\\ WU^2=UV^2+WV^2\implies \sqrt{WU^2-UV^2}=WV \\\\\\ \sqrt{41^2-40^2}=WV\implies 9=WV$

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Carissa also has a sink that is shaped like a half-sphere. The sink has a volume of 3000

defon

Answer:

a) 80
b) 56

Step-by-step explanation:

a) Calculate the volume of the the cup using volume of cylinder equation: $V = \pi r^{2} h$

Where V = Volume, r=radius, and h=height. Your answer should be in cubic inches ( $in^3$ ).
You're given diameter, so use equation $d/2 = r$ to find radius.
Substituting these equations will give you: $V = \pi (d/2)^2 h$
However, the given volume of the sink is 3000 $\pi$ , meaning that you should modify your results to match this value. Do not substitute $\pi$ for 3.14..., leave it as a symbolic value. Your final V of the cup should = 37.5 $\pi$
Divide the volume of the sink by the volume of the cup. This number will be the amount of cups needed to empty it. In equation form:
$Vsink / V cup =$ # of cups.
Note the the $\pi$ will cancel each other out, so there's not need to factor that in.
b) Repeat the steps above with the new d (diameter) value.