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4 years ago

A circle has a circumference of 6. it has an arc of length 1/3

Mathematics

2 answers:

Lena [83]4 years ago

5 0

Answer:

Step-by-step explanation:

Maksim231197 [3]4 years ago

3 0

Answer:

Ф = 10°

Step-by-step explanation:

Regarding arc length, s: s = r·Ф, where Ф is the central angle in radians and r is the radius.

We need to find the central angle, Ф, in this problem.

We know that C = circumference = 6, and that this leads to r = 6/π.

Substituting 6/π for r and 1/3 for s in Ф = s / r, we get:

Ф in radians = 1/3 / (6/π), or Ф = π/18 rad.

π 180°

Converting this into degrees, we multiply ------ by ----------

18 π rad

obtaining: Ф = 10°

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3 years ago

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3 years ago

The base of a right pyramid is a regular hexagon with sides of length 12 m. The altitude is 6 m. Find the total surface area of

Eva8 [605]

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Step-by-step explanation:

Step 1: Write the data

Side (s) = 12

Altitude (h) = 6

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Step 3: Substitute values of 's' and 'h'

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3 years ago

Bill found a book he wanted on sale for $20.80. The original price of the book was $32. Find the discount rate.

Maurinko [17]

Answer:

35% discount

Step-by-step explanation:

We can first find what percent of 32 20.80 is.

This can be shown by using a percent proportion.

$\frac{20.80}{32} = \frac{x}{100}$

We can cross multiply to find the value of $x$ .

$20.80\cdot100=2080\\\\2080\div 32 = 65$

So 20.80 is 65% of 32.

However, this is the percent of the original price. To find the discount, we have to subtract 65 from 100.

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So the book was on a 35% discount.

Hope this helped!

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4 years ago