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:
25%
Step-by-step explanation:
14/56 * 100/100
= (14 × 100/56) * 1/100
= 25/100
= 25%
Answer:
48.125 ft³
Step-by-step explanation:
The space occupied by the new generator is the product of it's dimension:
The space occupied = Length * width * height
Space occupied = 3 1/2 * 5 1/2 * 2 1/2
Space occupied = 7/2 * 11/2 * 5/2
Space occupied = (7*11*5) / (2*2*2) = 385 / 8
Space occupied = 48.125 ft³
In the division rule you subtract the exponents<span> when </span>dividing<span> numbers with the same base. </span>One<span> rule for exponents is that exponents add when you have the same base. This works for any number x that you want to plug in except for x = </span>0<span>,because </span>0/0<span> is indeterminate (it is like dividing </span>zero<span> by </span>zero<span>). No matter what number we use when it is raised to the </span>zero power<span> it will always be </span>1.
