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MArishka [77]
3 years ago
6

A student inscribes a triangle inside a circle. The triangle divides the circle into arcs with the following measures: 46°, 102°

, and 212°. What are the measures of the angles of the triangle?
Mathematics
1 answer:
hoa [83]3 years ago
8 0
The angle of each arc is going to equal the measure of the angle opposite the arc... so the angles of the triangle will also be 46 degrees, 102 degrees, and 212 degrees.

(Look at one of the angles of the triangle and follow it as it opens up all the way to the other side of the circle and you'll see the equivalent arc)
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Which of the following is a polynomial with rootsnegative square root of 5, square root of 5, and 3
Scrat [10]

Answer:

P(x) = x³ - 3x² - 5x + 15

Step-by-step explanation:

∵ The roots of the polynomial are -√5 , √5 , 3

∴ The polynomial has 3 factors:

  (x - √5) , (x + √5) , (x - 3)

∴ P(x) = (x - √5)(x + √5)(x - 3)

          = (x² + √5x - √5x - 5)(x - 3)

          = (x² - 5)(x - 3) = x³ - 3x² - 5x + 15

∴ P(x) = x³ - 3x² - 5x + 15

3 0
3 years ago
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VladimirAG [237]

Answer:

- 1/12

Step-by-step explanation:

Let -0.0833333 = x  ---  (1)

Multiply both sides by 10.

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Subtract (2) from (1),

0.75 = -9x

-9x = \frac{75}{100}

= \frac{3}{4}

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x=-\frac{1}{12}


8 0
3 years ago
The equation of the piecewise function f(x) is below. What is the value of f(3)?
JulijaS [17]

Option B: 5 is the value of f(3)

Explanation:

The equation of the piecewise function is given by

f(x)=\left\{\begin{aligned}-x^{2}, & x

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Thus, x=3 lies in the interval x\geq 0 , the function f is given by

f(x)=x+2

Substituting x=3 in the function f(x)=x+2, we get,

f(3)=3+2

f(3)=5

Thus, the value of f(3) is 5.

Therefore, Option B is the correct answer.

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strojnjashka [21]
3x=4+13x=5x=5/32x=2* 5/32x=10/3
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