Answer:
don't know but hope you have a good new year
70 miles = 1 hour
Divide by 70 through to get 1 mile ..
(70 ÷ 70) miles = (1 ÷ 70) hour
1 mile = 1/70 hour
Multiply by 400 through to get 400 miles
1 x 400 miles = 1/70 x 400 hours
400 miles = 5 5/7 hours
130 would be one trip. if you divide 13 by 2 it is 6.5 and then multiply that by 20 you get 130. please mark me brainliest. have a great day and good luck with school:)
Answer:
- first attachment has pentagon and decagon
- second attachment has hexagon and dodecagon
- computation info explained below
Step-by-step explanation:
<u><em>1, 2. Central Angle, Interior Angle</em></u>
See the 3rd attachment for the values. (Angles in degrees.)
The central angle is 360°/n, where n is the number of vertices. For example, the central angle in a pentagon is 360°/5 = 72°.
The interior angle is the supplement of the central angle. For a pentagon, that is 180° -72° = 108°.
These formulas were implemented in the spreadsheet shown in the third attachment.
<u><em>3. Angles vs. Number of Sides</em></u>
The size of the central angle is inversely proportional to the number of sides. In degrees, the constant of proportionality is 360°.
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<em>Comment on the drawings</em>
The drawings are made by a computer algebra program that is capable of computing the vertex locations around a unit circle based on the number of vertices. The only "work" required was to specify the number of vertices the polygon was to have. The rest was automatic.
The above calculations describe how the angles are computed. Converting those to Cartesian coordinates for the graphics plotter involves additional computation and trigonometry that are beyond the required scope of this answer.
These figures can be "constructed" using a compass and straightedge. No knowledge of angle measures is required for following the recipes to do that.
Answer:
2:15 pm
Step-by-step explanation:
The time that Theo finishes is the sum of the start time and the duration of the cleaning. The duration is the sum of the cleaning times for each of the rooms and the break time.
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<h3>sum of minutes</h3>
It is convenient to convert all of the times to minutes, then convert the total back to hours and minutes.
kitchen +lounge +bedroom +bathroom +breaks
= (60 +50) +(55) +(1/2×60) +(35) +(85)
= 110 +55 +30 +35 +85
= 315 . . . . minutes
<h3>minutes and hours</h3>
There are 60 minutes in an hour, so the sum is ...
(315/60) hours = 5 15/60 hours = 5:15 . . . . written as hours : minutes
Then the time Theo finishes is ...
9:00 +5:15 = 14:15 = 2:15 pm
Theo will finish cleaning at 2:15 pm.
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<em>Additional comment</em>
On a 24-hour clock, hours after noon are numbered 13, 14, 15, ... to 23 at 11 pm. The 12-hour representation of the pm hours can be found by subtracting 12 from the hour number.