Answer:
-4r²-3s²
Step-by-step explanation:
Remove unnecessary parentheses:
r²+s²-(5r²+4s²)
Connect like terms:
-4r²+s²-4s²
Simplify/ collect like terms:
-4r²-3s²
Solution:
-4r²-3s²
B.) because according to the identity property of addition, any number added to zero will remain the same.
Answer:
13ft
Step-by-step explanation:
Kindly find attached a rough draft of the situation.
Step one:
Given data
The length of the slide represents the
Hypotenuse of the situation on the rough sketch
Angle =33°
Required
The height of the ladder which is the adjacent of the rough sketch represented by x
Step two:
Applying SOH CAH TOA
Cos θ= adj/hyp
Cos 33=x/15
0.84=x/15
Cross multiplying
x=0.84*15
x=12.6
To the nearest foot the ladder is 13ft tall
Answer:
a). Distance from the surface of miner elevator=532 feet, Distance from the surface of equipment elevator=60 feet
b). The miner elevator is deeper since it is 472 feet deeper than the equipment elevator
Step-by-step explanation:
Equipment elevator speed=4 feet per second
Miner elevator=14 feet per second
Total time of miner elevator=(23+15)=38 seconds
Total time of equipment elevator=15 seconds
a). Distance from the surface of each elevator
Distance from the surface of miner elevator=Miner Speed×Miner Time
Distance=(14×38)=532 feet
Distance from the surface of equipment elevator=Equipment Speed×Equipment Time
Distance=(15×4)=60 feet
b). Which elevator is deeper
Distance from the surface of miner elevator=532 feet
Distance from the surface of equipment elevator= 60 feet
Difference=(532-60)=472 feet
The miner elevator is deeper since it is 472 feet deeper than the equipment elevator