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3 years ago

14

Which is longer 1/4 foot or 1/4 yard?

1 answer:

Hitman42 [59]3 years ago

7 0

1/4 yard is longer because it takes 3 feet to equal to 1 yard

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The circumference of the ellipse approximate. Which equation is the result of solving the formula of the circumference for b?

Serhud [2]

Answer:

$b = \sqrt{\frac{C^{2} }{2(\pi )^{2} } - a^{2}}$

Step-by-step explanation:

Given - The circumference of the ellipse approximated by $C = 2\pi \sqrt{\frac{a^{2} + b^{2} }{2} }$ where 2a and 2b are the lengths of 2 the axes of the ellipse.

To find - Which equation is the result of solving the formula of the circumference for b ?

Solution -

$C = 2\pi \sqrt{\frac{a^{2} + b^{2} }{2} }\\\frac{C}{2\pi } = \sqrt{\frac{a^{2} + b^{2} }{2} }$

Squaring Both sides, we get

$[\frac{C}{2\pi }]^{2} = [\sqrt{\frac{a^{2} + b^{2} }{2} }]^{2} \\\frac{C^{2} }{(2\pi)^{2} } = {\frac{a^{2} + b^{2} }{2} }\\2\frac{C^{2} }{4(\pi)^{2} } = {{a^{2} + b^{2} }$

$\frac{C^{2} }{2(\pi )^{2} } = a^{2} + b^{2} \\\frac{C^{2} }{2(\pi )^{2} } - a^{2} = b^{2} \\\sqrt{\frac{C^{2} }{2(\pi )^{2} } - a^{2}} = b$

∴ we get

$b = \sqrt{\frac{C^{2} }{2(\pi )^{2} } - a^{2}}$

8 0

3 years ago

The volume of a sphere is 36π cubic feet. What is the radius of the sphere? (V = 4 3 πr3)

MrRa [10]

radius = 3 feet

rearrange the formula making r the subject

$\frac{4}{3}$ πr³ = V ( multiply both sides by 3 to eliminate fraction )

4πr³ = 3V ( divide both sides by 4π )

r³ = $\frac{3V}{4\pi }$ = ( 3 × 36π ) / 4π = 3 × 9 = 27

take the cube root of both sides

r = $\sqrt[3]{27}$ = 3

6 0

3 years ago

Write an equivalent fraction with the given denominator. 3/16 = ___ /48

natita [175]

You multiply 3/16 by 3 and you should get 9/48

4 0

4 years ago

It gives me adds that i cant skip the keeps me here

ycow [4]

Re download it or sum

5 0

3 years ago

Given: circle k(O), diameter US, measure of arc RU=50, measure of arc UT=30

sleet_krkn [62]

Answer:

angle RUS = 65 degrees

angle STU = 90 degrees

Step-by-step explanation:

(a) find angle RUS

Given arc RU = 50 degrees, so angle RSU = 50/2 = 25 degrees

Since US is the diameter,

angle URS is a right-angle.

Consider triangle RUS,

sum of angles of a triangle = 25+90+RUS = 180

solve for

RUS = 180 - 25 - 90 = 65 degrees.

(b) Find STU

All diameters span a right angle at the circumference,

since we're given US is a diameter, this means that

angle STU is a right angle.

3 0

3 years ago