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sammy [17]
2 years ago
12

Find (ros)(z).

Mathematics
1 answer:
Nady [450]2 years ago
6 0

Answer:

(r*s) = (x-5)(2x+6) = 2x2 + 6x - 10x - 30 = 2x2 - 4x - 30

(r-s)(x) = x-5 - (2x+6) = x - 5 - 2x - 6 = -x - 11

(r+s)(x) = x - 5 + 2x + 6 = 3x + 1

(r + s)(3) = 3(3) + 1 = 9 + 1 = 10

Step-by-step explanation:

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Need help finding the area of the shaded region. Round to the nearest tenth. Need help ASAP
Sergio [31]

Answer:   294.4 m²

<u>Step-by-step explanation:</u>

Separate the shaded region into two parts:

  1. The section containing the central angle of 230° (360° - 130°)
  2. The triangle with sides 11.1, 11.1 & 20.12 (use Law of Cosines)

1.\ Area(A)=\pi\ r^2\ \bigg(\dfrac{\theta}{360}\bigg)\\\\\\.\qquad \qquad =\pi(11.1)^2\bigg(\dfrac{230}{360}\bigg)\\\\\\.\qquad \qquad =247.3

2.\ \text{Use Law of cosines to find the length of the third side.}\\\text{ Then use Heron's formula to find the Area of the triangle.}\\\\s=\dfrac{11.1+11.1+20.12}{2}=21.16\\\\\\A=\sqrt{s(s-a)(s-b)(s-c)}\\\\.\ =\sqrt{21.16(21.16-11.1)(21.16-11.1)(21.16-20.12)}\\\\.\ =\sqrt{2227}\\\\.\ =47.1

Area of shaded region = Area of (1) + Area of (2)

                                      =    247.3     +      47.1

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8 0
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Firdavs [7]

The <em><u>correct answer</u></em> is:

C. Range

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The definition of domain is the set of all possible input values, or x-values, of a function.

The definition of range is the set of all possible output values, or y-values, of a function.

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The answer for the blank space is 21.8
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