2 years ago

What is the solution to the equation –10.3+y = 5.2?

1 answer:

5 0

-10.3 + y = 5.2

First, regroup the terms. / Your problem should look like: $y - 10.3 = 5.2$
Second, add 10.3 to both sides. / Your problem should look like: $y = 5.2 + 10.3$
Third, add 5.2 + 10.3 to get 15.5 / Your problem should look like: $y = 15.5$

Answer: y = 15.5 (D)

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Find the measure of a central angle that intercepts an arc of 81.5 cm in a circle whose radius is 16.3 cm.

Paul [167]

Answer:

5 rad

Step-by-step explanation:

Recall that the length of an arc of circumference is given by the formula:

$Arc\,Length=\theta\,*\,radius$ , where $\theta$ is the subtended angle [in radians] from the circumference's center.

Therefore in this case, you know the arc length (81.5 cm), and the radius (16.3 cm), and can solve for the angle $\theta$ using the above equation as shown below:

$Arc\,Length=\theta\,*\,radius\\81.5\,cm = \theta\,*\,16.3\,cm\\\frac{81.5}{16.3} = \theta\\\theta=5\,rad$