Answer:
<em>D.</em><em> </em><em></em>
Step-by-step explanation:
<em>2</em><em>÷</em><em> </em><em>6</em><em> </em><em>=</em><em> </em><em>0</em><em>.</em><em>3</em><em>3</em><em>3</em><em>3</em><em>3</em>
<em>As </em><em>you </em><em>can</em><em> </em><em>see</em><em> </em><em>3</em><em> </em><em>is </em><em>repeating</em><em>.</em>
<em>Therefore</em><em> </em><em> </em><em></em><em> </em><em>as </em><em>repeating</em><em> </em><em>decimal</em><em> </em><em>form</em><em>.</em>
Given :
A boat is being pulled into a dock with a rope attached to the boat at water level. When the boat is 12 feet from the dock, the length of the rope form the boat to the dock is 3 feet longer than twice the height of the dock above the water.
To Find :
The height of the dock.
Solution :
This will make a right angle triangle as given in link below .
Now , applying Pythagoras theorem :
Now , h = 5 or h = -9 .
Now , height cannot be negative .
So , height of the dock is 5 ft .
Hence , this is the required solution .
Any smooth curve connecting two points is called an arc. The length of the arc m∠QPR is 2.8334π m.
<h3>What is the Length of an Arc?</h3>Any smooth curve connecting two points is called an arc. The arc length is the measurement of how long an arc is. The length of an arc is given by the formula,
where
θ is the angle, that which arc creates at the centre of the circle in degree.
Given the radius of the circle is 3m, while the angle made by the arc at the centre of the circle is 170°. Therefore,
The length of an arc = 2πr×(θ/360°) = 2π × 3 ×(170/360°) = 2.8334π m
Hence, the length of the arc m∠QPR is 2.8334π m.
Learn more about Length of an Arc:
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Answer:
26
Step-by-step explanation:
Since x = -5, we can replace x with it's numerical -5, right? The problem tells you that x is equal to -5. So, just replace any x you see with -5.
So in this case,
turns into:
You can use a calculator or solve it by hand to see what the answer is.