Find the measurement of the third angle of a triangle with two angles measuring 18° and 82°. Please show your work.
2 answers:
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Solving this equation
<h2>-7.4 + E = 9.11</h2><h2>E = 16.51</h2>
Answer:
DE = about 41.843 (rounded to nearest thousandth)
EF= 34.276 (rounded)
Step-by-step explanation:
For DE, we know that the shorter side (the opposite side) is 24, while the angle across form it is 35°. We can use trigonometry to figure this out. SinФ equals the opposite side (in this case, 24) divided by the hypotenuse. Set sinФ equal to a ratio of the sides like this:
sin(35) =
x represents the hypotenuse length, which we don't know; 35 is the angle measure. Next, isolate x so that the equation looks like this:
= x
You will need a calculator for the next part. (and make sure you're in degree mode!). evaluate sin(35) and divide 24 by that value. That is DE's length. DE = about 41.843 (rounded to nearest thousandth)
For EF, we can just use Pythagorean theorem now that we know the other sides' values.
EF^2 + 24^2 = DE^2
*a calculator might also be useful for this part.
EF= 34.276 (rounded)
Answer:
20.65 points.
Step-by-step explanation:
We have been given that a star athlete at a local college scored 640 points during the 31 basketball games. We are asked to find the average number of points she scored per game.
To find the average number of points scored per game by player we will divide total number scored by the total number of games.
Therefore, the average number of points scored per game by the player is 20.65 points.