...can someone help me?
1 answer:
Answer:
Step-by-step explanation:
The arc length is very different from the arc measure, so make sure you know the difference. Arc length is measures in feet or inches or meters or cm, etc., while arc measure is measured in degrees, like angles. The formula we need for arc length includes the circumference of a circle formula, since the arc is part of the circumference. The formula includes the angle that cuts off that arc:
where theta is the central angle that cuts off the arc we are finding the length of. That angle is 100 degrees; the radius if 12. Filling in the formula with those values and using 3.14 for pi:
Simplifying a bit gives us:
Multiplying straight across the top and then dividing by 360 gives you a length of 20.93 inches. The first choice.
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The size of the angle QUP in the system formed by the <em>equilateral</em> triangle QUR, the <em>equilateral</em> triangle PUT and the square RUTS is equal to 150°.
<h3>How to determine a missing angle within a geometrical system</h3>
By Euclidean geometry we know that squares are quadrilaterals with four sides of <em>equal</em> length and four <em>right</em> angles and triangles are <em>equilateral</em> when its three sides have <em>equal</em> length and three angles with a measure of 60°. In addition, a complete revolution has a measure of 360°.
Finally, we must solve the following equation for the angle QUP:
<em>m∠QUR + m∠QUP + m∠PUT + m∠RUT =</em> 360
60 <em>+ m∠QUP +</em> 60 <em>+</em> 90 <em>= 360</em>
<em>m∠QUP +</em> 210 <em>=</em> 360
<em>m∠QUP =</em> 150
The size of the angle QUP in the system formed by the <em>equilateral</em> triangle QUR, the <em>equilateral</em> triangle PUT and the square RUTS is equal to 150°.
To learn more on quadrilaterals, we kindly invite to check this verified question: brainly.com/question/13805601