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3 years ago

What is the length of the arc of a circle of diameter 8 meters subtended by a central angle of

Mathematics

1 answer:

const2013 [10]3 years ago

6 0

Answer:

9.42 meters

Step-by-step explanation:

diameter = 8 m

radius = 4 m

Length of arc = radius * central angle in radians

= 4 * 3 $\pi$ / 4

= 12 $\pi$ / 4

= 3 $\pi$

= 66 / 7

= 9.42 m

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Find the cosine of the angle between the planes x+y+z=0 and 4x+3y+z=1. Answer: cosθ=

marta [7]

The angle between the planes is the same as the angle between their normal vectors, which are

n₁ = ⟨1, 1, 1⟩

n₂ = ⟨4, 3, 1⟩

The angle θ between the vectors is such that

⟨1, 1, 1⟩ • ⟨4, 3, 1⟩ = ||⟨1, 1, 1⟩|| ||⟨4, 3, 1⟩|| cos(θ)

Solve for cos(θ) :

4 + 3 + 1 = √(1² + 1² + 1²) √(4² + 3² + 1²) cos(θ)

8 = √3 √26 cos(θ)

cos(θ) = 8/√78

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2 years ago

14. Sarah bought a lawnmower for $320. She signed up for the buy now pay later plan at the store with the following conditions:

Tema [17]

Answer:

Step-by-step explanation:

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3 years ago

Labeling Parts of a Circle

mel-nik [20]

Answer:

Click on the screenshot, I labeled the parts

Hope this helps :))

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2 years ago

Answer the questions 1.find the value of x 2.find m 3.finds

zloy xaker [14]

Answer:

x = 13°

Step-by-step explanation:

m<EGF + m< FGH = m<EGH

or, 3x+6+5x-7 = 103°

or, 8x-1 = 103°

or, 8x = 103°+1°

or, x = 104°/8

or, x = 13°

Now,

m<EGF = 3x+6

= 3×13+6

= 39+6

= 45

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= 58

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2 years ago

6x10 to the 2 power + 45

trasher [3.6K]

Answer:

the answer is 60045

Step-by-step explanation:

the answer is 60000 because 6×10=60×100=60000+45=60045

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3 years ago

Read 2 more answers