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3 years ago

*** PLEASE HELP IM TIMED

Mathematics

2 answers:

mart [117]3 years ago

5 0

The first one because it’s the actual formula for a sphere and it has pie at the end because we are solving for a sphere

pychu [463]3 years ago

5 0

Archimedes solved this in his famous book <em>Sphere and Cylinder</em> in 225 BC. The result is reportedly on his tombstone.

The ratio of the volume of the radius r sphere to the cylinder radius r, height 2r is

$\dfrac 2 3$

The same ratio is the ratio of the surface area of the sphere to that of the cylinder (including the ends).

Answer: Last choice

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Check all that apply. If csc =13/5 , then:

nirvana33 [79]

Answer:

The answer are the options B and C

$sin(x)=\frac{5}{13}$

$tan(x)=\frac{5}{12}$

Step-by-step explanation:

we know that

$csc(x)=\frac{1}{sin(x)}$

In this problem we have

$csc(x)=\frac{13}{5}$

substitute

$\frac{13}{5}=\frac{1}{sin(x)}$

solve for sin(x)

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$cos^{2}(x)+sin^{2}(x)=1$

substitute the value of sin(x) and solve for cos(x)

$cos^{2}(x)+(\frac{5}{13})^{2}=1$

$cos^{2}(x)=1-(\frac{5}{13})^{2}$

$cos^{2}(x)=(\frac{13^{2}-5^{2}}{13^{2}})$

$cos^{2}(x)=(\frac{144}{13^{2}})$

$cos^{2}(x)=(\frac{12^{2}}{13^{2}})$

$cos(x)=(\frac{12}{13})$

The function tangent is equal to

$tan(x)=\frac{sin(x)}{cos(x)}$

substitute the values

$tan(x)=\frac{(5/13)}{(12/13)}=5/12$

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