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Dominik [7]
2 years ago
6

DUPLICATE WITH ATTACHMENT

Mathematics
1 answer:
lutik1710 [3]2 years ago
4 0
C=A-B, according to the information, the vector A⃗ has a magnitude of 3.00 and is directed parallel to the negative y-axis: that means Vector OA (0, -3)

<span> and vector B</span>⃗<span> has a magnitude of 3.00 and is directed parallel to the positive y-axis. </span>

that means Vector OB (0, 3), so C=A – B means  vectOC = vect OA  -  vect OB =(0,-3)-(0,3)=(0,-6), so the magnitude of OA is sqrt((-6)^2)=6, so C=6 

and according to the information (as measured counterclockwise from the positive x-axis), so the answer is <span>C = 6.00; θ = 90˚</span>

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Gabe and Eugenia bought a house! Their loan is for $117,000 , for 15 years at an annual interest rate of 4% . This results in a
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Answer:

Principal element is $475.43

Interest payment is $390

Step-by-step explanation:

The amount of interest paid in month one is 4%*$117,000*1/12=$390

The interest is calculated based on the annual interest rate of 4% apportioned to reflect one month interest by multiplying by 1/12

The principal element of monthly payment is the monthly payment minus interest.

principal paid in month one=$865.43-$390=$475.43

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What is the angle θ that the field e⃗ makes with the surface of the slab, which is perpendicular to the x direction? express you
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The angle θ that the field e⃗ makes with the surface of the slab, which is perpendicular to the x direction is <span>θ = -1.57 <span>rad


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</span></span>
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Multiplying StartFraction 3 Over StartRoot 17 EndRoot minus StartRoot 2 EndRoot EndFraction by which fraction will produce an eq
ziro4ka [17]

The fraction which produce an equivalent fraction with a rational denominator is \left(\frac{\sqrt{17}+\sqrt{2}}{\sqrt{17}+\sqrt{2}}\right)

Explanation:

The equation is \frac{3}{\sqrt{17}-\sqrt{2}}

To find the rational denominator, let us take conjugate of the denominator and multiply the conjugate with both numerator and denominator.

Rewriting the equation, we have,

\frac{3}{\sqrt{17}-\sqrt{2}}\left(\frac{\sqrt{17}+\sqrt{2}}{\sqrt{17}+\sqrt{2}}\right)

Multiplying, we get,

\frac{3(\sqrt{17}+\sqrt{2})}{(\sqrt{17})^{2}-(\sqrt{2})^{2}}

Simplifying the denominator, we get,

\frac{3(\sqrt{17}+\sqrt{2})}{17-2}

Subtracting, the values of denominator,

\frac{3(\sqrt{17}+\sqrt{2})}{15}

Dividing the numerator and denominator,

\frac{\sqrt{17}+\sqrt{2}}{5}

Hence, the denominator has become a rational denominator.

Thus, the fraction which produce an equivalent fraction with a rational denominator is \left(\frac{\sqrt{17}+\sqrt{2}}{\sqrt{17}+\sqrt{2}}\right)

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