Answer:
1291.5km
Step-by-step explanation:
12.3*105=1291.5km
The obtuse interior angle in triangle can reach to 179.9999999.... °.
Because once it hits 180°, the angle becomes a straight line and it is not possible in a triangle.
9514 1404 393
Answer:
5. 88.0°
6. 13.0°
7. 52.4°
8. 117.8°
Step-by-step explanation:
For angle A between sides b and c, the law of cosines formula can be solved to find the angle as ...
A = arccos((b² +c² -a²)/(2bc))
When calculations are repetitive, I find a spreadsheet useful. It doesn't mind doing the same thing over and over, and it usually makes fewer mistakes.
Here, the side opposite x° is put in column 'a', so angle A is the value of x. The order of the other two sides is irrelevant.
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<em>Additional comment</em>
The spreadsheet ACOS function returns the angle in radians. The DEGREES function must be used to convert it to degrees. The formula for the first problem is shown here:
=degrees(ACOS((C3^2+D3^2-B3^2)/(2*C3*D3)))
As you can probably tell from the formula, side 'a' is listed in column B of the spreadsheet.
The spreadsheet rounds the results. This means the angle total is sometimes 179.9 and sometimes 180.1 when we expect the sum of angles to be 180.0.
Answer:
1) (6,2) (9,2) (3,8) (3,5)
2) (2,-5) (5,-5) (-1,-11) (-1,-8)
Step-by-step explanation:
For the first question, your reflecting over the x-axis into quadrant I, so you just need to make all the coordinates positive. The numbers stay the same - you just get rid of the negative signs. (6,2) (9,2) (3,8) (3,5)
For the second problem, you subtract 4 from the x-value, and 3 from the y-value.
(6,-2) becomes (2,-5)
(9,-2) becomes (5,-5)
(3,-8) becomes (-1,-11)
(3,-5) becomes (-1,-8)
The Queen butterflies to the total ratio is 7:16
to get this you add the monarch(9) to the Queens(7) getting the total