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larisa86 [58]
4 years ago
14

2. The area of the rectangle is 224 square inches. The length of the rectangle is 14

Mathematics
1 answer:
777dan777 [17]4 years ago
5 0

Answer:

Perimeter is 60 inches

Step-by-step explanation:

A = length * width

224 = 14 * width

width = 224/14 = 16

Perimeter = 14 * 2 + 16 * 2 = 60

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Triangle CAT is equilateral and centered at the origin. How many degrees will it need to be rotated counterclockwise about the o
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-120 degrees.

Step-by-step explanation:

This triangle has a rotational symmetry of 3  (it repeats its  orientation 3 times as it makes a complete circle around the center),  so the angle of rotation is 360 / 3 = 120 degrees.

As the rotation is counter clockwise  strictly speaking the answer is -120 degrees.

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What are the possible rational roots of the polynomial equation?<br><br> 0=2x7+3x5−9x2+6
RoseWind [281]

Answer: \pm\frac{1}{1}, \pm\frac{1}{2},\pm\frac{2}{1},\pm\frac{3}{1}, \pm\frac{3}{2}

Step-by-step explanation:

We can use the Rational Root Test.

Given a polynomial in the form:

a_nx^n +a_{n- 1}x^{n - 1} + … + a_1x^1 + a_0 = 0

Where:

- The coefficients are integers.

- a_n is the leading coeffcient (a_n\neq 0)

- a_0 is the constant term a_0\neq 0

Every rational root of the polynomial is in the form:

\frac{p}{q}=\frac{\pm(factors\ of\ a_0)}{\pm(factors\ of\ a_n)}

For the case of the given polynomial:

2x^7+3x^5-9x^2+6=0

We can observe that:

- Its constant term is 6, with factors 1, 2 and 3.

- Its leading coefficient is 2, with factors 1 and 2.

 Then, by Rational Roots Test we get the possible rational roots of this polynomial:

\frac{p}{q}=\frac{\pm(1,2,3,6)}{\pm(1,2)}=\pm\frac{1}{1}, \pm\frac{1}{2},\pm\frac{2}{1},\pm\frac{3}{1}, \pm\frac{3}{2}

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