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slava [35]
4 years ago
13

PLEASE HELP ASAP!!!!!

Mathematics
1 answer:
padilas [110]4 years ago
7 0

The measure of the central angle is 4 radians

<h3><u>Solution:</u></h3>

Given that central angle of a circle intercepts an arc of length 28 centimeters

The radius of the circle is 7 centimeters

<em><u>To find: measure of the central angle in radians</u></em>

The arc length of circle when \theta is measured in radians is given as:

s = r \theta

Where "s" is the arc length

"r" is the radius of circle

\theta is the central angle in radians

Substituting the values in formula,

28 = 7 \times \theta\\\\\theta = \frac{28}{7} = 4

Thus the measure of the central angle is 4 radians

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Can anyone help me with this please
Elenna [48]

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4 0
3 years ago
PLEASE HELP!!!!
LekaFEV [45]

Answer:

500

Step-by-step explanation:

It's a box with a square base, so let's say the width and length are x and the height is y.

The surface area of the box without the top is:

A = x² + 4xy

300 = x² + 4xy

The volume of the box is:

V = x²y

Solve for y in the first equation and substitute into the second:

y = (300 − x²) / 4x

V = x² (300 − x²) / 4x

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To optimize V, find dV/dx and set to 0:

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So the volume of the box is:

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V = 500

The maximum volume is 500 cm³.

4 0
4 years ago
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