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RideAnS [48]
3 years ago
9

The radius of a circle is 8 inches. find the number of radians in the central angle of the circle which intercepts an arc of 4 i

nches.
Mathematics
2 answers:
vodka [1.7K]3 years ago
7 0

Answer:

0.5

Step-by-step explanation:

this says one half but that is not an option choice and some people may not realize that 0.5 is the equivalent

Grace [21]3 years ago
3 0
\sf Hello!

• \sf Radius, \:r = 8\: in.

\sf Circumference\: of\: the\: circle = \sf 2π\sf r = \sf 2\cdotπ\cdot \sf 8 = \sf 16π \sf in.
\sf with\: central\: angle\: of\: 2π \sf radians

\sf Then,

• \sf Length\: of\: Arc = \sf 4 \:in.

\dfrac{\sf 4}{\sf 16π} × \sf 2π = \dfrac{\sf 1}{\sf 2} \: \sf radian

~ \sf iCarl
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Which expression is not equivalent to the other three? 2x 2 2x 3x – 8 4 7x – 2 –2 5x 2x – 4 8x – x – 6.
erik [133]

The expression is not equivalent to \rm 28x-16.

<h2>Polynomial</h2>

An expression of more than two algebraic terms, basically sums of terms and variables of power n.

<h2>Given</h2>

2x+2 ,\ 2x,\ 3x-8, 4,\ 7x-2,\ -2,\ 5x,\ 2x-4,\ 8x,\ -x-6

<h2>Step by step explanation</h2>

\rm Equivalent\ expression = add\ all\ the\ given\ terms.\\&#10;Equivalent\ expression = 2x+2+2x+3x-8+4+7x-2-2+5x+2x-4+8x-x-6\\&#10;Equivalent\ expression = 2x+2x+3x+7x+5x+2x+8x-x+2-8+4-2-2-4-6\\&#10;Equivalent\ expression = 28x-16\\&#10;

Then the expression is not equivalent to \rm 28x-16.

Thus, the expression is not equivalent to \rm 28x-16.

More about the polynomial link is given below.

brainly.com/question/17822016

7 0
2 years ago
Hannah claims that people who live in southern states spend 9 hours more per week outside than do people in northern states. She
vova2212 [387]

Answer:

b. Hannah is likely to be incorrect because 9 is not contained in the interval.

Step-by-step explanation:

Hello!

Hannah estimated per CI the difference between the average time that people spend outside in southern states and the average time people spend outside in northern states.

The CI is a method of estimation of population parameters that propose a range of possible values for them. The confidence level you use to construct the interval can be interpreted as, if you were to calculate 100 confidence interval, you'd expect that 99 of them will contain the true value of the parameter of interest.

In this example, the 99%CI resulted [0.4;8.0]hs

Meaning that with a 99% confidence level you'd expect the value of the difference between the average time people from southern states spend outside than the average time people from northern states spend outside is included in the interval [0.4;8.0]hs.

Now, she claims that people living in southern states spend 9 more hours outside than people living in northern states, symbolized μ₁ - μ₂ > 9

Keep in mind that if you were to test her claim, the resulting hypothesis test would be one-tailed

H₀: μ₁ - μ₂ ≤ 9

H₁: μ₁ - μ₂ > 9

And that the calculated Ci is tow-tailed, so it is not valid to use it to decide over the hypotheses pair. This said, considering that the calculated interval doesn't contain 9, it is most likely that Hannah's claim is incorrect.

I hope this helps!

6 0
3 years ago
Complete the proof using paragraph or two-column, or flow. Please help me! Answer ASAP!
Alenkasestr [34]

The answer is in the photo. Hope this helps

4 0
3 years ago
James bought a cake that weighs 3 and 1 over 4 pounds. How many ounces does the cake weigh? Show your work. (5 points)
kolezko [41]

The weight of James cake in ounces is 52 ounces and the Pint of water dispensed in 20 seconds is 24 pints

<h3>Weight</h3>

  • Weight of cake = 3 1/4 pounds

1 pound = 16 ounces

Number of ounces the cake weigh = 3 1/4 pounds × 16 ounces

= 13/4 × 16

= (208) / 4

= 52 ounces

  • Water dispensed per second = 0.15 gallons
  • Number of seconds = 20 seconds

1 gallon = 4 quarts

0.15 gallon = 0.6 quarts

1 quart = 2 pints

0.6 quart = 1.2 pints

Pint of water dispensed in 20 seconds = 1.2 × 20

= 24 pints of water

Learn more about weight:

brainly.com/question/229459

#SPJ1

8 0
2 years ago
What are the numbers of pi
gizmo_the_mogwai [7]

Answer: 3.14

Step-by-step explanation: it goes on forever but that is what most people use to calculate with

5 0
3 years ago
Read 2 more answers
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