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2 years ago

Find the length of the arc

Mathematics

1 answer:

Korvikt [17]2 years ago

8 0

Answer:

Step-by-step explanation:

the length of the arc is calculated as

arc = circumference of circle × fraction of circle

= 2πr × $\frac{120}{360}$

= 2π × 8 × $\frac{1}{3}$

= 16π × $\frac{1}{3}$ = $\frac{16\pi }{3}$ m

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Which expression is equivalent to the given expression? 2√20 × 4√6

lapo4ka [179]

Answer:

16 sqrt(30)

Step-by-step explanation:

2√20 × 4√6

Multiply

2*4 sqrt(20*6)

8 sqrt(120)

Simplifying

8 sqrt(4 *30)

We know sqrt(ab) = sqrt(a) sqrt(b)

8 sqrt(4) sqrt(30)

8 *2* sqrt(30)

16 sqrt(30)

7 0

3 years ago

16 feet equal how many yards?

elixir [45]

We know that there are 3 feet in one yard. So, to find out how many yards is equivalent to 16 feet, we must divide this number by 3.

16/3 or 5 1/3

Therefore, 16 feet is equal to 16/3 or 5 1/3 yards.

Hope this helps!

8 0

3 years ago

Read 2 more answers

Linda’s container of cranberry juice holds 200 millimeters. Harry’s container holds 7/8 as much juice. How many millimeters of c

lesya [120]

The answer is 375..........

3 0

3 years ago

Based on these results, enter the expected probability that the coin will land with the tails side facing up the next time it is

olga_2 [115]

Answer:

2.34657

Step-by-step explanation:

6 0

3 years ago

The back of jake's property is a creek. Jake would like to enclose a rectangular area, using the creek as one side and fencing f

kow [346]

Answer:

The maximum possible area of the pasture is 26,450 feet square.

Step-by-step explanation:

Let us assume the width of the rectangular area = m ft

and the length of the area = k ft

Also assume: ( one side with k units IS NOT FENCED)

So, the total perimeter of the fencing is:

2 m + k = 460

or, k = 460 - 2m ........ (1)

Now, AREA OF THE RECTANGULAR PORTION = Length x Width = k x m

Put k = 460 - 2m

We get: A = m (460 - 2m)

or, A = 460 m - 2m²

We need to find the maximum for the parabolic function A = 460 m - 2m²

The function has a maximum value as the quotient in front of x^2 is negative: -2 < 0

A (max) = $c-\frac{b^2}{4a}$ where a = -2, b = 460, c = 0

= $-\frac{(460)^2}{4(-2)} = 26,450$

A max = 26,450 sq ft.

The maximum possible area of the pasture is 26,450 feet square.

7 0

3 years ago