Answer:
Step-by-step explanation:
It will only take into account private cost because it is allowed to emit pollution at a zero cost.
Base length = 2 + height
height = 6
base length = 8
Volume of pyramid = width x length x height /3 = 8 x 8 x 6/3 = 128 cm^3
Answer:
Explanation:
<u>1. Sample space</u>
The total number of gums is 2 + 3 + 4 + 2 + 1 = 12.
The number of different outcomes, i.e. the size of the sample space, for the selection of two gumballs from 12 gums is 12 × 11 = 132 different combinations.
2. Number of combinations for the desired outocome.
There are four possible combinations in which one ball is pink and one is yellow:
- first is yellow and second is one of the pinks
- first is yellow and second is the other pink
- first is one of the pinks and second is yellow
- first is the other pink and second is yellow
<u>3. Probability</u>
<u></u>
By definition:
- Probability = number of favorable outcomes / total number of outcomes
Therefore:
- Probability that Pierre selects a yellow and a pink gumball = 4/132
- Probability that Pierre selects a yellow and a pink gumball = 1/33
B
up means positive, so up 7 floors is +7
the opposite of -7 is +7
Answer:
Step-by-step explanation:
Step 1
<u>Find the missing angle:</u>
- m∠H = 180° - (47° + 99°) = 34°
Step 2
<u>Find the missing sides by using the law of sines:</u>
- sin 34° / 5.9 = sin 47° / HP = sin 99° / HK
- HP = 5.9 sin 47°/sin 34° = 7.7 mi
- HK = 5.9 sin 99° / sin 34° = 10.4 mi
Step 3
<u>Use Heron's formula for the area:</u>
- A =
, where s is semi-perimeter, and a, b, c - sides
<u>Find s:</u>
- s = 1/2(5.9 + 7.7 + 10.4) = 12
<u>Find A:</u>
- A =
= 22.44 mi²
