Could someone help plz

A sphere is rolled between two sharp, parallel blades that are 77 centimeters apart. Both blades cut off a piece of the sphere cleanly, leaving two parallel circular faces with radii of 39 and 60 cm. What is the radius of the sphere?

Answers

Answer 1

Answer:

The radius of the sphere is approximately 62.71 cm

Step-by-step explanation:

The question relates to the definition of a sphere

The given parameters are;

The distance between the sharp parallel blades through which the sphere is rolled = 77 centimeters

The radii of the circular faces left by cutting the sphere with the blade = 39 cm  and 60 cm

From the triangles formed by the cross-section of the sphere, we have;

AB ║ DE Given

∠A ≅ ∠E, ∠D ≅ ∠B Alternate angles

∠C ≅ ∠C by reflective  property

∴ ΔABC ~ ΔDCE by Angle-Angle similarity theorem

CF/CG = AB/DE = 78/120 = 13/20

CF = CG × 13/20

CF + CG = 77

∴ CG × 13/20 + CG = 77

33·CG/20 = 77

∴ CG = 140/3

CF = 13/20 × CG = 13/20 × 140/3 = 91/3

CF = 91/3

The diameter of the sphere AE = AC + EC

By Pythagoras's theorem

AC = √(FA² + CF²) = √(39² + (91/3)²) = 13·√(130)/3

EC = √(CG² + GD²) = √((140/3)² + 60²) = 20·√(130)/3

∴ AE = AC + EC = 13·√(130)/3 + 20·√(130)/3 = 11·√(130)

The diameter, 'D', of the sphere, AE = 11·√(130)

The radius of the sphere = D/2 = 11·√(130)/2 ≈ 62.71 cm

Could Someone Help PlzA Sphere Is Rolled Between Two Sharp, Parallel Blades That Are 77 Centimeters Apart.

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Answer:

We want to find the solution region for:

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Answer:

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Step-by-step explanation:

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Answers

The question is incomplete. The complete question is :

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Solution :

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Answer:

For part a and b of this question

Step-by-step explanation:

x= # of lawns cut      y= total cost

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I believe this is correct.

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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nowwwwww
will name brainliest

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Please like and mark brainliest!

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Answers

Answer:

A

Step-by-step explanation:

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Answers

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i hope you can give me brainliest, thanks!

Answer:

a) 2a+6  b) 16y-8  c) 24x-12  d) 16y-8  e) 15x+20  f) 21x-35  

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

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Step-by-step explanation: Snap Add?

Sample size is required to answer

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[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{-\dfrac{1}{3}(6x + 2)}\\\\\\\mathsf{DISTRIBUTE \ (-\dfrac{1}{3})\ within\ the\ PARENTHESES}\\\\\\\mathsf{= -\dfrac{1}{3}(6x)+-\dfrac{1}{3}(2)}\\\\\\\mathsf{-\dfrac{1}{3}(6x)=-2x}\\\\\\\mathsf{-\dfrac{1}{3}(2) = \dfrac{-2}{3}}\\\\\\\mathsf{= -2x + - \dfrac{-2}{3}}[/tex]

[tex]\boxed{\boxed{\mathsf{Answer: \bf -2x - \dfrac{2}{3}\ (Option\ C.)}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

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Step-by-step explanation:

HELPPPPPPPP PRE ALG !!!!!!! 20 POINTS!!!! HELP ASAPPPPPPP

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

what's 875,098 to the nearest 100 rounded?

Answers

Answer:

the answer to the problem is 875,100

Answer:

875,100

Step-by-step explanation:

When we round to a particular place, we will use a few simple rules.

First, let's highlight the place value we're rounding to.

875,098

Next, we look at the number behind the highlighted number, in this case the tens place. If the number is less than 5, the highlighted place value will stay the same. If the number is 5 or above, the highlighted place value increases by 1. In this case, we round 0 up to 1, since there was a 9 in the tens place. We then add zeros for the tens and ones place, since we rounded out of those.

ANSWER: 875,100

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Answer:

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Step-by-step explanation:

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