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Vesna [10]
3 years ago
11

What is the arc length for a central angle of 120° on a circle with radius 5 units?

Mathematics
1 answer:
MrRa [10]3 years ago
7 0

Answer:

(10/3)π units

Step-by-step explanation:

120 degrees is equivalent to (2π)/3 radians.  Applying the arc length formula s = r Ф, we get:

s = arc length = (5 units)(2π)/3 = (10/3)π units

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Step-by-step explanation:

Lines that are tangent to a circle are perpendicular to the radius of the circle.

Lines that are tangent to a circle are congruent

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Determine the rate of change between the points (-1,-1) and (1,-1).
AVprozaik [17]

Answer:

\displaystyle m = 0

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Algebra I</u>

Coordinate Planes

  • Coordinates (x, y)
  • Slope Formula: \displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}

Step-by-step explanation:

*Note:

Rate of change is slope.

<u />

<u>Step 1: Define</u>

<em>Identify.</em>

Point (-1, -1)

Point (1, -1)

<u>Step 2: Find slope </u><em><u>m</u></em>

Simply plug in the 2 coordinates into the slope formula to find slope <em>m</em>.

  1. Substitute in points [Slope Formula]:                                                              \displaystyle m = \frac{-1 + 1}{1 + 1}
  2. [Order of Operations] Simplify:                                                                        \displaystyle m = \frac{0}{2}
  3. Simplify:                                                                                                             \displaystyle m = 0
4 0
3 years ago
a woman put $580 into a savings account for one year the build of interest on the account was 6 and a half percent how much was
vovikov84 [41]
$37.70; $580 x 6.5% x 1 = $37.70
7 0
3 years ago
I WILL MARK YOU BRAINLIEST PLS HELP!!! The image below shows two dilated figures with lines AB and A’B’ drawn. If the larger fig
geniusboy [140]

Answer:

Lines AB and A'B' are similar, line A'B' being three times the size of line AB. They would not be congruent since a dilation isn't a rigid transformation but they would be similar. Their lengths would also be expressed in the form of a ratio which would be 1:3 if you do AB to A'B' and 3:1 if you do A'B' to AB. Hope this helped! :)

Step-by-step explanation:

The relationship between two lines AB and A’B’ is A'B'=3AB.

It is given that in the given figure larger figure was dilated using a scale factor of 3. It means the smaller and larger figures are similar and there corresponding sides are in the ratio 1:3.

The line AB connecting the two points of the smaller figure and line A'B' connecting the two points of the larger figure.

Since A'B' is corresponding line segment of AB in larger figure, therefore the ratio of AB to A'B' is 1:3.

By cross multiplication we get

The length of segment A'B' is 3 times of AB.

MARK ME BRAINLIEST!

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