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2 years ago

A dog is chained to a pole. If the dog can run within an area of 380 ft.², how long is the chain?

Mathematics

1 answer:

Alenkinab [10]2 years ago

7 0

Answer:

The chain is around 11 feet in length.

Step-by-step explanation:

Area of a circle = π × r²

380 ft² = π × r²

121 ft² = r²

11 ft = r

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Aya = a1 + (n - 1)d

Alenkasestr [34]

Answer:

The 26th term of an arithmetic sequence is:

$a_{26}=67$

Hence, option A is true.

Step-by-step explanation:

Given

a₁ = -33

d = 4

An arithmetic sequence has a constant difference 'd' and is defined by

$a_n=a_1+\left(n-1\right)d$

substituting a₁ = -33 and d = 4 in the nth term of the sequence

$a_n=-33+\left(n-1\right)4$

$\:a_n=-33+4n-4$

$a_n=4n-37$

Thus, the nth term of the sequence is:

$a_n=4n-37$

now substituting n = 26 in the nth term to determine the 26th term of the sequence

$a_n=4n-37$

$a_{26}=4\left(26\right)-37$

$a_{26}=104-37$

$a_{26}=67$

Therefore, the 26th term of an arithmetic sequence is:

$a_{26}=67$

Hence, option A is true.

7 0

2 years ago

Bella and Heather put some money into their money boxes every week. The amount of money (y), in dollars, in their money boxes af

Hatshy [7]

Answer:

$\boxed{ \text{B. 10 weeks, \$310 }}\\$

Step-by-step explanation:

We have two conditions:

$\begin{array}{lrcll}(1) & y & = & 25x + 60 & \\(2) & y & = & 30x + 10 & \\ & 25x + 60 & = & 30 x + 10 & \text {Set (1) = (2)} \\ & 50 & = & 5x & \text{Subtracted 25x from each side} \\& x & = & 10 &\text{Divided each side by 5} \\\end{array}\\$ $\\\boxed{ \textbf{The number of weeks is }x = 10}\\$

Bella: y = 25x + 60 = 25(10) + 60 = 250 + 60 = 310

Heather: y = 30x + 10 = 30(10) + 10 = 300 + 10 = 310

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3 years ago

BRAINIEST AND 10 POINTS

Alinara [238K]

Answer:

Last answer is correct..

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3 years ago

How do you write 2/20 as a percentage

Brut [27]

Answer:2/20 =

2 ÷ 20 =

0.1 =

0.1 × 100/100 =

0.1 × 100% =

Step-by-step explanation:

google

7 0

3 years ago

Use the slope formula (m =

lubasha [3.4K]

For (7,2) and (0,5)

slope = 5-3/-7 = -2/7

5 0

3 years ago