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den301095 [7]
3 years ago
12

Which proportion can be used to find the arc length, s, in units?

Mathematics
1 answer:
Alinara [238K]3 years ago
5 0

Answer:

Option B

Step-by-step explanation:

Formula to be used to calculate the length of an arc,

Length of arc = \frac{\theta}{360}(2\pi r)

Here, θ = Angle subtended at the center by the arc

r = radius of the circle

By substituting values in the formula,

s = \frac{150}{360}(2\pi )(42)

\frac{s}{2\times 42\pi }=\frac{150}{360}(\frac{2\times 24\pi }{2\times 24\pi } )

\frac{s}{84 \pi }=\frac{150}{360}

Therefore, Option B will be the answer.

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Dan makes a pineapple sorbet. He uses 3 lemons. Work out how many people he makes pineapple sorbet for.
seropon [69]

Answer:

N/A

Step-by-step explanation:

There is not enough information to answer with a number.


6 0
3 years ago
Hello im in 8th grade and I need to get my grades up so anyone know the answer to
jolli1 [7]

Answer:

x = 3

Step-by-step explanation:

12x = 36

simply 12 will go to the other side and switches to the opposite sign for example + will be -

× will br ÷

so 36 ÷ 12 =3

x = 3

4 0
3 years ago
An ornithologist has 4 bird feeders at separate locations. She wonders if birds are equally likely to visit each of the feeders.
Marianna [84]

Answer:

the x² test statistic 13.71

Option a) 13.71 is the correct answer.

Step-by-step explanation:

Given the data in the question;

Feeder                     1      2      3       4

Observed visits; o_i  60   90   92    58

data sample = 300

Expected e_i = 300 / 4 = 75

the x² test statistic = ?

X^2_{stat = ∑[ (o_i - e_i)²/e_i]

X^2_{stat = [ (60 - 75)² / 75 ] + [ (90 - 75)² / 75 ] + [ (92 - 75)² / 75 ] + [ (58 - 75)² / 75 ]

X^2_{stat = [ 3 ] + [ 3 ] + [ 3.8533 ] + [ 3.8533 ]

X^2_{stat = 13.7066 ≈ 13.71

Therefore, the x² test statistic 13.71

Option a) 13.71 is the correct answer.

7 0
3 years ago
How many grams of NH3 are required to produce 4.65 g of HF
nignag [31]

1.326 grams of NH3 are required to produce 4.65 g of HF.

Step-by-step explanation:

Balanced chemical reaction is written first to know the number of moles taking part in original reaction.

NH3 +3 F2 ⇒3 HF  +  NF3

Given:

mass of HF = 4.65

First the number of moles of HF in 4.65 grams is calculated by using the formula:

number of moles (n) = \frac{mass}{atomic mass of 1 mole}

atomic mass of HF = 20 grams/mole

putting the values in the above equation number of moles can be found.

n = \frac{4.65}{20}

  = 0.235 moles of HF are given.

From the equation it can be said that:

1 mole of NH3 reacts to form 3 moles of HF

so, x moles of NH3 would react to form 0.235 moles of HF

\frac{3}{1} = \frac{0.235}{x}

3x = 0.235

x = \frac{0.235}{3}

x = 0.078 moles of NH3 is required.

The moles are converted to mass by applying the formula:

mass = atomic mass X number of moles (atomic mass of NH3 = 17 grams/mole)

        putting the values in the formula

mass = 17 X 0.078

mass = 1.326 grams

8 0
3 years ago
PLS HELP WITH THIS (this is algebra 1 btw I don't know why it says college)<br> Question in picture
postnew [5]

Answer:

b

Step-by-step explanation:

7 0
3 years ago
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