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shusha [124]
3 years ago
5

a circle has a radius of 9 inches. In inches, what is the length of the arc intercepted by central angle of 3.25 radians

Mathematics
1 answer:
frutty [35]3 years ago
3 0

Answer:

\boxed {\boxed {\sf 29.25 \ inches}}

Step-by-step explanation:

Since we are given the central angle in radians, we should use the following formula for the arc length.

s= \theta r

Where <em>s</em> is the arc length, θ is the angle in radians, and <em>r</em> is the radius.

We know this circle has a radius of 9 inches and the central angle is 3.25 radians.

  • θ= 3.25
  • r= 9 in

Substitute the values into the formula

s= (3.25)( 9 \ in)

Multiply.

s= 29.25 \ in

The arc length is <u>29.25 inches. </u>

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The image I saw was a paper with 90° edges. the 90° was cut into 2, 75° and x.

x = 90° - 75° = 15°

Interior angles of a triangle should equal 180°. The other corner of the paper is part of the triangle. It has a measure of 90°

The two angles are 15° and 90°. To find the remaining unknown angle, we deduct the two angles from 180°

3rd angle = 180° - 15° - 90°
3rd angle = 180° - 105°
3rd angle = 75°

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Based on 10,500 responses from 34,000 questionnaires sent to all its​ members, a major medical association estimated that the an
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d) Convenience

Step-by-step explanation:

According to my research on different types of sampling techniques, I can say that based on the information provided within the question the sampling technique used in this method is called a Convenience technique. This technique collects data from all the participants that were conveniently available to participate, and does not have any criteria that needs to be met. In this situation they used the data from all the participants that responded to the questionnaires, in other words the participants that were conveniently available,

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Jill went shopping from 3:45 pm to 5:00 pm for how long did she shop​
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Answer:

total 1 hour 15 mins

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3:45 - 5:00

lets count one by one

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2 years ago
A couple purchased a home and signed a mortgage contract for $900,000 to
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9514 1404 393

Answer:

  • $33,336.83
  • $35,176.68
  • $36,869.23
  • $38,266.75
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Step-by-step explanation:

The amortization formula can be used to find the payment value.

  A = P(r/2)/(1 -(1 +r/2)^(2n))

where P is the principal amount at the beginning of the loan period, r is the annual interest rate, n is the number of years remaining on the loan

The value of A in this scenario is the semi-annual payment.

Initially, the interest rate is 0.055 and the number of years remaining is 25.

After the first 5-year period, the interest rate goes up by 12%, so is multiplied by a factor of 1.12 to become 6.16% per year. The same growth factor is applied to the interest rate at the beginning of each 5-year period.

Of course, the number of years remaining is decreased by 5 years at the beginning of the next 5-year period.

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The Principal remaining at the end of each 5-year period is the starting principal for the next period. It is calculated from ...

  FV = P(1 +r/2)^10 -A((1 +r/2)^10 -1)/(r/2)

Where P is the starting principal, A is the loan payment as calculated above, and r is the annual interest rate.

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These formulas are built into spreadsheet functions, so the desired set of loan payments can be calculated easily by that technology. The result is attached. In the "# pmts" column is the value used to amortize the loan for the 5-year period. The semiannual payment is calculated as though the loan would be completely paid off in that number of payments, keeping the same interest rate for the duration. Of course, that payment series is interrupted and the loan recalculated at the beginning of the next 5 years.

The half-yearly payments for each 5-year interval are ...

  $33,336.83

  $35,176.68

  $36,869.23

  $38,266.75

  $39,158.08

_____

<em>Additional comment</em>

The values displayed in the spreadsheet are rounded to the values shown. The values used in calculation have 14 or more significant digits. This means the numbers here may vary from those provided by a lending institution. In the real world, the principal and interest values are rounded to cents with each payment, so actual results may vary by a few cents either way.

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