This figure represents a planter that is to be filled with soil. How much soil will it take to fill the planter? Enter your answ
er in the box.
1 answer:
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Answer:
41°
Step-by-step explanation:
This problem involving the Law of Cosines has been mostly worked for you. The value of the cosine is the solution to the remaining one-step linear equation. The inverse cosine function (cos⁻¹ or arccos) is used to find the angle from the value of the cosine.
-1125 = -1500·cos(A)
cos(A) = -1125/-1500 = 3/4 . . . . . divide by -1500 (this is the one step)
A = arccos(3/4) ≈ 41.4096°
The angle formed by the lines to the lampposts is about 41°.
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<em>Additional comment</em>
If you find the angle using the ACOS( ) function of a spreadsheet, you will always get the result in radians. Most calculators offer the choice of units for angles, so be sure you set the mode appropriately.
In the calculator screenshot, there is a decimal point in the fraction to force the angle result to be displayed as a numerical value. Otherwise, this calculator shows cos⁻¹(3/4), which isn't terribly helpful.
Answer:
Brooke runs the fastest.
Step-by-step explanation:
Brooke runs 13 feet per second.
Therefore, speed of Broke = 13 feet per sec.
Will runs 308 feet in 26 seconds.
Speed of Will =
=
= 11.85 feet per second
Ron runs 1 mile in 551 seconds.
1 mile = 5280 feet
Speed of Ron =
= 9.58 feet per second
Debbie runs 658 feet in 1 minute.
1 minute = 60 seconds
Speed of Debbie =
= 10.97 feet per seconds
Here, speed of Brooke is the maximum.
Therefore, Brooke runs the fastest.