To find the length of the wire, use the Pythagorean theorem
a^2 + b^2 = c^2
18^2 + 40^2 = c ^2
324 + 1600 = c^2
1924 = c^2
44 = c
The wire is approximately 44 feet.
Answer:
66.91 km^2
Step-by-step explanation:
This answer will be long:
Interior angles of hexagon sum to (4)(180) = 720 each is 120 degrees
each side is 24/6 = 4 km
area of hexagon = 12 * 1/2 2 * (2 tan60) =<u> 41.5692 km ^2 </u>
L triangle 5 = hypot leg1 = 4 leg2 = 3 area = 1/2 * 3 * 4 =<u> 6 km^2</u>
TOP triangle is 4 = hypot leg1 = 3.464 leg2 = 2
area = 1/2 * 3.464 * 2 = <u>3.464 km^2</u>
R triangle two legs = 4 area = 1/2 * 4 x 4 =<u> 8 km^2 </u>
BOTTOM triangle two sides = 4 use sin rule sin40/4 = sin 100/x
third side = 4/sin 40 * sin 100 = 6.1284 km
semi perimter = ( 4 + 4 + 6.1284) / 2 = 7.0641 km
Use Herron's rule for area =
sqrt ( 7.0641 (7.0641-4)(7.0641-4)(7.0641-6.1284) ) =<u> 7.878 km^2 </u>
<u> add all of the areas to get 66.91 km^2 (IF I made no math errors!) </u>
Answer:
The slope of the line is -3.
Answer:
Median
Step-by-step explanation:
Since the data has an outlier (12,985), mean is not the best average.
This data set does not have a modal value
Therefore the best option is Median
Answer:
19/36 more than yesterday
Step-by-step explanation:
Since the denominators are different, multiply each fraction by the denominator of the other to be the same.
1/4 * 9 = 9/36
7/9 * 4 = 28/36
Now that the denominators are the same, you can subtract:
28/36 - 9/36 = 19/36
