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Georgia [21]
3 years ago
5

Can someone help me 14. Determine the arc length. Give your answer to two decimal places.

Mathematics
1 answer:
Paul [167]3 years ago
8 0

Answer:

19.48 m

Step-by-step explanation:

The formula that is used to find arc length is:

arc length = 2πr (\frac{angle}{360})

In this question, r = 9m and the angle (θ) = 124°. Substitute the values into the formula.

arc length = 2 × π × 9 ×(\frac{124}{360})

= 2 × π × 9 × 0.3444

= 19.48 m

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Find the volume. cylinder—r = 2 cm; h = 3 cm
Naddik [55]
Volume of a cylinder = πr^2 h = π x (2)^2 x 3 = π x 4 x 3 = 12π = 37.7 cm^3
5 0
3 years ago
At which value in the domain does f(x)=0 ?
lina2011 [118]

f(x)=0

Domain are the set of x values

f(x)=0 , we find all the x values where y =0

At x intercepts y is always 0

so we find all the x intercepts.

x intercepts are the points where the graph crosses x axis

In the graph we can see that the graph crosses x axis at

-2.5 , -0.75 and 1

-2.5 , -0.75 and 1 are the domain where f(x)=0

5 0
3 years ago
Read 2 more answers
Pls,pls,pls,help me I will give lots of pound 100+ points
Bond [772]

Answer:

  1. 3log(10) -2log(5) ≈ 1.60206
  2. no; rules of logs apply to any base. ln(x) ≈ 2.302585×log(x)
  3. no; the given "property" is nonsense

Step-by-step explanation:

<h3>1.</h3>

The given expression expression can be simplified to ...

  3log(10) -2log(5) = log(10^3) -log(5^2) = log(1000) -log(25)

  = log(1000/25) = log(40) . . . . ≠ log(5)

  ≈ 1.60206

Or, it can be evaluated directly:

  = 3(1) -2(0.69897) = 3 -1.39794

  = 1.60206

__

<h3>2.</h3>

The properties of logarithms apply to logarithms of any base. Natural logs and common logs are related by the change of base formula ...

  ln(x) = log(x)/log(e) ≈ 2.302585·log(x)

__

<h3>3.</h3>

The given "property" is nonsense. There is no simplification for the product of logs of the same base. There is no expansion for the log of a sum. The formula for the log of a power does apply:

  \log(a)\log(b)=\log(a^{\log(b)})=\log(b^{\log(a)})

Numerical evaluation of Mr. Kim's expression would prove him wrong.

  log(3)log(4) = (0.47712)(0.60206) = 0.28726

  log(7) = 0.84510

  0.28726 ≠ 0.84510

  log(3)log(4) ≠ log(7)

4 0
2 years ago
My question is ...champ is 1st in a race star is 3rd and Pom is 4th if 2 more horses pass star what place will Pom be in? HELP P
Ad libitum [116K]
Pom would be in 6th place

3 0
3 years ago
Write in its simplest form, the ratio 3.5kilograms:800grams
MA_775_DIABLO [31]
3.5 kg:800g
3500g:800g
35g:8g
4 0
3 years ago
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