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Mashcka [7]
1 year ago
5

Find the length of each arc. Round your answers to the nearest tenth. r = 40 =24use 3.14 for π

Mathematics
1 answer:
liraira [26]1 year ago
6 0

Answer:

1.7 units

Explanation:

The length of an arc is calculated using the formula below:

l=\frac{\theta}{360\degree}\times2\pi r

Substitute the given values of θ and r:

\begin{gathered} l=\frac{24\degree}{360\degree}\times2\times3.14\times4 \\ =1.674 \\ \approx1.7\text{ units (to the nearest tenth)} \end{gathered}

The length of the arc is 1.7 units.

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Last year, the local animal shelter found homes for 12,308 dogs and 7,953 cats. What is the total number of dogs and cats the an
Murrr4er [49]
Shelters found for dogs = 12,308
Shelters found for cats  = 7,953

Total number of shelters found
= Shelters found for dogs + Shelters found for cats
= 12,308 + 7,953
= 20,261 shelters

Therefore, the total number of shelter found for both dogs and cats last year is 20,261 shelters
5 0
4 years ago
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The fox population in a certain region has a continuous growth rate of 6 percent per year. It is estimated that the population i
riadik2000 [5.3K]

Answer

a)

P(t) = 19100. e^{0.06t}

b) P(8) =30866

Step-by-step explanation

Use formula:

P(t) = P. e^{rt}

a)

Here, P = 19100

r = 6% = 0.06

P(t) = 19100. e^{0.06t}

b) t = 2008 - 2000 = 8

P(8) = 19100. e^{0.06\times 8}

P(8) = 19100. e^{0.48}

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6 0
3 years ago
Solve the inequality -3x<54
kifflom [539]

Answer:

x<-18

Step-by-step explanation:

you divide -3 by both sides.

6 0
2 years ago
Apply the distributive property to factor out the greatest common factor. 35+50=35+50=?
a_sh-v [17]

Answer with explanation:

The given mathematical expression to solve : 35+50

The prime factorization of each term can be written as follows :-

35=5\times7

50=5\times5\times2

We can see that the greatest common factor of both the terms = 5

So we rewrite the given expression as :-

5\times7+5\times10

By using distributive property :-

ab+ac=a(b+c) , we have

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3 0
3 years ago
What is the correct factored form of x^2+3x-10
GarryVolchara [31]

Answer:

(x-2)(x+5)

Step-by-step explanation:

I have answered ur question

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3 years ago
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