Answer:
volume of Figure B = 75 m³
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:
y= -1/23
Step-by-step explanation:
The equation y(5)-4y(4)+4y(3)=1 can be solved thus:
Work on brackets first:
5y-16y+12y=1
Add up y values
5y-28y=1
Divide both sides of equation
-23y=1
y=1/-23
Therefore the value of y is -1/23
Answer:
y = -1/2x + 1/2
Step-by-step explanation:
Step 1: Write in known variables
y = -1/2x + b
Step 2: Find <em>b</em>
2 = -1/2(-3) + b
2 = 3/2 + b
b = 1/2
Step 3: Rewrite equation
y = -1/2x + 1/2
