Find Arc RU. How would you solve this. Please do step by step.
1 answer:
Answer:
arc RU is 149°
Step-by-step explanation:
Use the Intersecting cords theorem : the measure of the angle is half the sum of the intercepted arcs and the supplementary angle rule.
Angle RVS is given as 88° so subtracting from 180 to get the supplement, we get the measure of angle RVU is 92° That is the Angle that intercepts the arc RU
Use the intersecting chord and intercepted angle formula to set up the equation, let x be the unknown measure of arc RU. The other intercepted Arc ST is given: 35°
solve for x.
92 ×2= x+35
184 = x+ 35
184 -35 = x . x = 149 . That means Arc RU measures 149°
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Answer:
16.5 square units
Step-by-step explanation:
You are expected to integrate the function between x=1 and x=4:
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<em>Additional comment</em>
If you're aware that the area inside a (symmetrical) parabola is 2/3 of the area of the enclosing rectangle, you can compute the desired area as follows.
The parabolic curve is 4-1 = 3 units wide between x=1 and x=4. It extends upward 2.25 units from y=4 to y=6.25, so the enclosing rectangle is 3×2.25 = 6.75 square units. 2/3 of that area is (2/3)(6.75) = 4.5 square units.
This region sits on top of a rectangle 3 units wide and 4 units high, so the total area under the parabolic curve is ...
area = 4.5 +3×4 = 16.5 . . . square units
