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Anuta_ua [19.1K]
3 years ago
15

Which expression is equivalent to 181 + |-71? 0 -15 O-1 O 1 O 15

Mathematics
1 answer:
morpeh [17]3 years ago
7 0

Step-by-step explanation:

181+1=182

182-71=111

the answer is 111

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A, B, and C are points on the circumference of a circle, centre 0. AOB is a diameter of the circle. Prove that angle ACB is 90°
ki77a [65]

Answer:

Kindly refer to explanation.

Step-by-step explanation:

Given that:

A,B and C are 3 points on circumference of circle with centre O.

AOB is diameter.

Kindly refer to the attached image.

To prove:

\angle ACB = 90^\circ

Solution:

Let \angle A = x and \angle B = y.

<em>Construction</em>: Join point  A with centre O.

Considering \triangle AOC:

Side AO = OC because both are the radius.

Angles opposite to equal sides in a triangle are equal.

Therefore, \angle ACO=\angle A=x

Considering \triangle BOC:

Side BO = OC because both are the radius.

Angles opposite to equal sides in a triangle are equal.

Therefore, \angle BCO=\angle B=y

\angle ACB = \angle ACO + \angle BCO = x+y ...... (1)

Now, in \triangle ABC:

Using angle sum property of triangle:

\angle A + \angle B + \angle ACB =180^\circ\\\Rightarrow x+y+x+y=180^\circ\\\Rightarrow 2(x+y)=180^\circ\\\Rightarrow x+y=90^\circ

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\angle ACB = 90^\circ

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5 0
3 years ago
Write an integer to represent a 6 yard loss in football.
Murrr4er [49]

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Step-by-step explanation:

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Read 2 more answers
The volume of a right cone is 17287 units³. If its circumference measures 247 units,
Nikolay [14]

The height of the right cone is 10.68 unit

<h3>What is Volume ?</h3>

Volume is defined as the space occupied by a three dimensional object.

Volume of a right cone is given  by

V = π r²h/3

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r = 247/2 π

3 * 17287 =  π  r²h

3 * 17287 =  π *(247/2 π )²h

h = 51861 *π *4/61009

h = 10.68 unit

Therefore the height of the right cone is 10.68 unit.

To know more about Volume

brainly.com/question/1578538

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