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dmitriy555 [2]
3 years ago
14

The legs of a right triangle measure 5 inches and 7 inches of theta is the angle between the 7-inch leg and the hypotenuse, sin

theta =

Mathematics
1 answer:
levacccp [35]3 years ago
4 0
Sine (theta) = 5 / hypotenuse
We do not know the hypotenuse length, so let's use the tangent function.
tan (theta) = 5/7
arc tan (5/7) =  35.538 Degrees



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gizmo_the_mogwai [7]

Answer:

option 3

Step-by-step explanation:

Standard \ quadratic \ equation : ax^2 + bx +c

Larger the value of  '' a '' makes the parabola narrow.

A positive value of '' a '' which is close to 0 makes the parabola wide.

<em><u>To find the widest graph , find the smallest </u></em><em><u>a</u></em><em><u>. (or </u></em><em><u>a</u></em><em><u> closest to zero)</u></em>

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option 2

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option 3

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option 4

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But we have to find the widest parabola irrespective of the direction.

So we will find the smallest  ' a '

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8 0
2 years ago
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kap26 [50]

Given:

Area of a sector = 64 m²

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The radius or the value of r.

Solution:

Area of a sector is:

A=\dfrac{1}{2}r^2\theta

Where, r is the radius of the circle and \theta is the central angle of the sector in radian.

Putting A=64,\theta=\dfrac{\pi}{6}, we get

64=\dfrac{1}{2}r^2\times \dfrac{\pi}{6}

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64\times \dfrac{12}{\pi}=r^2

\dfrac{768}{\pi}=r^2

Taking square root on both sides, we get

\sqrt{\dfrac{768}{\pi}}=r

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Therefore, the value of r is 16\sqrt{\dfrac{3}{\pi}} m.

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