How many more degrees are in a straight angle than in a right angle

A circular sector has a central angle of π6 radians and a radius of 9 ft.

ohaa [14]

Answer:

$\approx \: 21.2 \: {ft}^{2}$

Step-by-step explanation:

$central \: \angle = \frac{\pi ^{c} }{6} = 30 \degree \\ \\ area \: of \: the \: sector = \frac{30 \degree}{360 \degree} \times \pi {(9)}^{2} \\ \\ = \frac{1}{12} \times 3.14 \times 81 \\ \\ = \frac{1}{12} \times 254.34 \\ \\ = 21.195 \: {ft}^{2} \\ \\ \approx \: 21.2 \: {ft}^{2}$

8 0

3 years ago

Read 2 more answers

Help please. anything would help.

Nataly_w [17]

Answer:

Option a) 1/5 is most closely to 0.

8 0

2 years ago

Read 2 more answers

Find the rule.

mezya [45]

The <em>first</em> series uses a <em>linear</em> function with - 1 as <em>first</em> element and 1 as <em>common</em> difference, then the rule corresponding to the series is y = |- 1 + x|.

The <em>second</em> series uses a <em>linear</em> function with - 3 as <em>second</em> element as 2 as <em>common</em> difference, then the rule corresponding to the series is y = |- 3 + 2 · x|.

<h3>What is the pattern and the function behind a given series?</h3>

In this problem we have two cases of <em>arithmetic</em> series, which are sets of elements generated by a condition in the form of <em>linear</em> function and inside <em>absolute</em> power. <em>Linear</em> <em>functions</em> used in these series are of the form:

y = a + r · x (1)

Where:

a - Value of the first element of the series.
r - Common difference between two consecutive numbers of the series.
x - Index of the element of the series.

The <em>first</em> series uses a <em>linear</em> function with - 1 as <em>first</em> element and 1 as <em>common</em> difference, then the rule corresponding to the series is y = |- 1 + x|.

The <em>second</em> series uses a <em>linear</em> function with - 3 as <em>second</em> element as 2 as <em>common</em> difference, then the rule corresponding to the series is y = |- 3 + 2 · x|.

To learn more on series: brainly.com/question/15415793

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7 0

1 year ago

1 what is sum of the interior angles of ABCD what is the sum of the exterior angles of CHFE 3 which sides are parallel to CE 4 w

expeople1 [14]

Given that ABCD is a parallelogram, the sum of its interior angles is:
360°

<h3>What is a parallelogram?</h3>

A parallelogram is a rectilinear two-dimensional figure with four sides whose opposite sides are parallel. See the image attached.

<h3>What is the sum of the exterior angles of CHFE?</h3>

The sum of the exterior angles of any Triangle or any polygon is 360°. Hence, the sum of the exterior angles of CHFE (a polygon) is 360°.

<h3>Which sides are parallel to CE?</h3>

The sides that are parallel to CE are:

FH

AD and

<h3>IJ.

Which side is perpendicular to CE?</h3>

The side that are perpendicular to CE is side side HH, hence we can state that:

CE ⊥ EH, because both lines intersect each other at right angles.

Because the sum of angles in a triangle is 180° and we already have ∠CEH to be equal to ∠90° hence,

∠C + ∠H? = 180° - 90°

= 90°

<h3>What is the measure of the exterior angles of a Regular Pentagon?</h3>

The measure of the exterior angles of a regular pentagon is 72°

Learn more about Parallelograms at:
brainly.com/question/970600
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5 0

2 years ago

The length of each edge of a cube is x centimeters. If x is an integer, why is the volume of the cube not equal to 15m^3?

Nadusha1986 [10]

Suppose the length of each side of the cube is x, so the volume must be:

x^3.

If the volume is 15 cm^3, so the length must be cuberoot(15) which is not integer,. So, the volume of the cube with integer side never equal with 15 cm^3

4 0

3 years ago