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Brrunno [24]
3 years ago
6

Can someone help me pls

Mathematics
1 answer:
Vladimir79 [104]3 years ago
5 0

Answer:

10) area of 130° segment  4.5 in²

Step-by-step explanation:

10) area of full circle = πr² = (3.14)(2²) = 12.56 in²

area of 130° segment = (130/360)(12.56) = 4.54 in²

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I really need help with this.
aniked [119]

9514 1404 393

Answer:

  a.  (1.4, 2.6)

  b.  (3, 2)

Step-by-step explanation:

a. The circumcenter is the intersection point of the perpendicular bisectors of the sides of the triangle.

For points X(a, b) and Y(c, d), the perpendicular bisector of XY can be written as ...

  (c -a)(x -(c+a)/2) +(d -b)(y -(d+b)/2) = 0

Then the equation of the perpendicular bisector of MN is ...

  (-2-4)(x -(-2+4)/2) +(4-0)(y -(4+0)/2) = 0

  -6(x -1) +4(y -2) = 0

  3x -2y = -1 . . . .  divide by -2 and put in standard form

Similarly, the perpendicular bisector of NO is ...

  (0-(-2))(x -(0-2)/2) +(6 -4)(y -(6+4)/2) = 0

  2(x +1) +2(y -5) = 0

   x + y = 4 . . . . divide by 2 and put in standard form

So, the point of intersection is ...

  (3x -2y) +2(x +y) = (-1) +2(4) . . . . . add twice the 2nd equation to the 1st

  5x = 7 . . . . . . simplify

  x = 1.4 . . . . . . divide by 5

  y = 4-1.4 = 2.6 . . . . . find y from the second equation

The coordinates of the circumcenter are (1.4, 2.6).

__

b. The centroid is the average of the vertex coordinates.

  centroid = (A +B +C)/3 = ((1, 2) +(3, 4) +(5, 0))/3 = (1+3+5, 2+4+0)/3 = (9, 6)/3

  centroid = (3, 2)

3 0
3 years ago
the graph of the absolute value parent function is vertically stretched by a factor of three, then shifted two units left &
ahrayia [7]

Answer:

  • y =  3 | x + 2 | - 5

Step-by-step explanation:

<u>The absolute value function is:</u>

  • y = | x |

<u>Step 1. Function is vertically stretched by a factor of 3:</u>

  • y = 3 * | x |

<u>Step 2. Shifted two units left:</u>

  • y = 3 | x + 2 |

<u>Step 3. Shifted 5 units down:</u>

  • y =  3 | x + 2 | - 5

<em>See attached</em>

<em>Steps are </em><em>Black → Blue → Green → Red</em>

6 0
3 years ago
√(2x+1)<br> Evaluate the integral<br> 2<br> (2x + 1) In (2x + 1)<br> dx.
Crank

Substitute y=\ln(2x+1) and dy=\frac2{2x+1}\,dx, so that

\displaystyle \int \frac2{(2x+1) \ln(2x+1)} \, dx = \int \frac{dy}y = \ln|y| + C = \boxed{\ln|\ln(2x+1)| + C}

6 0
1 year ago
1. A linear pair is two adjacent angles that are supplementary and form a straight line.
Stels [109]
The correct awnser is true
4 0
3 years ago
Read 2 more answers
Identify the percent of change as an increase or a decrease 20 to 30.
Snowcat [4.5K]

Answer:

50% increase.

Step-by-step explanation:

(New Value - Initial Value)/(Initial Value) * 100 = percentage increase or decrease

(The formula)

4 0
3 years ago
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