Point G cannot be a centroid because GE is wider that JG or JG is shorter than GE. So in this diagram GE is wider than JG with 10 cm and 5 cm respectively based on this information Point G cannot be a centroid of triangle HJK. So the answer is point G cannot be a centroid because JG is shorter than GE.
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:
16%
Step-by-step explanation:
Percent decrease means
Amount of change ÷ original amount, then × 100 to make it a percent.
44.29 is original $
37.17 is new$amount
44.29 - 37.17
= 7.12
The amount that it went down is 7.12
Percent decrease:
7.12/44.29 × 100
=0.159677 × 100
=15.9%
Round to nearest percent:
=16%
ANSWER:
1 : 14
EXPLANATION:
<em>1) Convert 1 meter to centimeters.</em>
7 cm : 100 cm
<em>2) Now you just simplify both sides (divide 7 by 7 to get 1 and then you have to divide 100 by 7 as well).</em>


Therefore, the ratio is:
1 : 14