3 years ago

If a plane intersects a sphere, what is the shape of the resulting cross section?

Mathematics

1 answer:

inna [77]3 years ago

3 0

A circle ......... .

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Arc are subtends a central angle measuring 3pi/5 radians . What fraction of the circumference is this arc?

Fofino [41]

Answer:

The arc is 3/10 of the circumference

Step-by-step explanation:

we know that

The complete circumference subtends a central angle of 2π radians

using proportion

Find out what fraction of the circumference represent an arc with a central angle of 3pi/5 radians

$\frac{1}{2\pi}=\frac{x}{(3\pi/5)}\\\\x=\frac{(3\pi/5)}{2\pi}\\\\x=\frac{3}{10}$

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3 years ago

What is the length of side x? (possibly use similar triangles)

weeeeeb [17]

Law of Sines

$\frac{sin(A)}{a} = \frac{sin(B)}{b}$

$\frac{sin(90)}{14.6} = \frac{sin(45)}{x}$

Cross multiply

x*sin(90) = 14.6sin(45)

x = 14.6sin(45)

x = <span>10.3</span>

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3 years ago

Alison has $4 less than twice the amount Ben has. Which expression represents Alison’s amount if Ben has m dollars?

fredd [130]

Answer:

2m-4

Step-by-step explanation:

because she has double his amount (2*m) but $4 less therefore 2m-4

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3 years ago

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2 years ago

What is the exact value of tan (-pie/3)?

dimaraw [331]

Answer:

The exact value of tan(π3) tan ( π 3 ) is √3 .

Step-by-step explanation:

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3 years ago