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astra-53 [7]
2 years ago
10

To the nearest centimeter, what is the area of the shaded sector in the circle shown below? A. 12 cm2 B. 151 cm2 C. 23 cm2 D. 13

8 cm2
Mathematics
1 answer:
vovikov84 [41]2 years ago
6 0

Step-by-step explanation:

what are the sides given?

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How do I find the zeros of x^4-10x^3-66x^2-94x-39
Gennadij [26K]

Answer: x = -1, -3, 7 + √62, 7 - √62


Step-by-step explanation:

q                                    p

x⁴ - 10x³ - 66x² - 94x - 39

\frac{p}{q} = +/- \frac{1*3*13*39}{1}

possible rational factors: 1, -1, 3, -3, 13, -13, 39, -39

Use synthetic division <em>or long division</em> to see which factor will leave a remainder of 0.

try x + 1 = 0  ⇒   x = -1

-1   |  1     -10     -66     -94     -39

    <u>|  ↓     -1        11        55      39 </u>

       1     -11      -55     -39       0

(x + 1)(x³ - 11x² - 55x - 39)        

next, try x + 3 = 0  ⇒   x = -3   <em>for the new polynomial</em>

-3   |  1     -11     -55     -39

     <u>|  ↓     -3       42     39</u>

        1     -14      -13       0  

(x + 1)(x + 3)(x² - 14x - 13)

Lastly: find the zeros by setting each factor equal to zero and solve.

x + 1 = 0  ⇒  x = -1

x + 3 = 0   ⇒ x = -3

x² - 14x - 13 = 0

x = \frac{-(b) +/- \sqrt{(b)^{2} -4(a)(c)}}{2(a)}

  = \frac{-(-14) +/- \sqrt{(-14)^{2} -4(1)(-13)}}{2(1)}

  = \frac{14 +/- \sqrt{196+52}}{2}

  = \frac{14 +/- \sqrt{248}}{2}

  = \frac{14 +/- 2\sqrt{62}}{2}

  = 7 +/- \sqrt{62}


5 0
3 years ago
Which equation(s) below is parallel to y = x-5
PolarNik [594]
2y= 2x - 10 is the correct answer
8 0
3 years ago
Use the distributive property to write the expression –6(–3x – 5) without parentheses.
Sauron [17]

Answer:

<h2>18x + 30</h2>

Step-by-step explanation:

The distributive property: a(b + c) = ab + ac.

-6(-3x - 5) = (-6)(-3x) + (-6)(-5) = 18x + 30

3 0
3 years ago
(4m+3)9+6m how do i solve it?
alexandr402 [8]
36m+27+6m=0### 30m=27###m=9/10
4 0
3 years ago
What is the slope of a line that is parallel to the line represented by the equation 3x+4y=12?
mash [69]

Slope-intercept form is:

y = mx + b

"m" is the slope, "b" is the y-intercept (the y value when x = 0)

(there is probably another way to do this, but I will be doing it this way)


Isolate the "y" in the equation

3x + 4y = 12       Subtract 3x on both sides

4y = 12 - 3x        Divide 4 on both sides

y=3-\frac{3}{4}x  or   y=-\frac{3}{4} x+3   The slope is -3/4


For lines to be parallel, they have to have the SAME slope. The given line's slope is -3/4, so the slope of the parallel line is also -\frac{3}{4}

8 0
3 years ago
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