These angles are adjacent which means they share a side and a vertex. Adjacent angles are also supplementary so the measure of the two angles add up to 180 degrees. Since angle 1 is 137 degrees, angle two is 43 degrees. I hope this explanation helps you.
Answer:
37 buses and 1 van.
Step-by-step explanation:
The cost to rent a van is $1200 for 50 students and 3 chaperones, while a bus for 10 students and a chaperone is $100 .
The cost of renting buses for 50 students is $500
What we do is rent 37 buses and 1 van
37 buses will take in 370 students with empty 2 spaces in 2 buses for chaperones since the chaperones are 36.
Then rent 1 van to take in 50 students and 1 chaperone.
The total cost here will be
$3700 + $1200 = $ 4900
This will help to safe cost.
Answer
L=20 A=7
Step-by-step explanation:
10 juniors are running for 4 positions.
There are ten people who can get into the first spot
Nine people for the second
8 people for the third
7 for the fourth
10x9x8x7= 5040 different ways.
For the sophomores: 12x11x10x9x8= 95040
However, the positions are identical which means that the order doesn't matter. (There's a difference between A getting postion 1, B for 2, C for 3, D for 4 and B for 1, A for 2, C for 3, D for 4)
There are 5 identical positions, therefore we divide this by 5! (5x4x3x2x1)= 120
95040/120= 792
Juniors have 5040 positions, sophomores have 792
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Answer:
V ≈ 5144.9 cubic units
Step-by-step explanation:
SA(sphere) = 4πr²
1156π = 4πr²
π's cancel out
1156 = 4r²
r² = 1156/4
r² = 289
r = √289
r = 17
V(sphere) = 4/3πr³
= 4/3 × π × 17³
= 4/3π × 4913
V ≈ 5144.9 cubic units
