The distance between the building and the base of the ladder is 5√3 feet.
<u>Step-by-step explanation</u>:
<u>Consider a right angle triangle</u>,
- Hypotenuse = Paula leaned a 10 ft ladder against a building.
- Height = the top of the ladder is exactly 5 feet up in the building.
- Base = 'x' ft, distance between the building and the base of the ladder.
<u>From the Pythagorean theorem</u>,
Base, x = 
⇒ x = 
⇒ x = 
⇒ x = 
⇒ x = 5√3
The distance between the building and the base of the ladder is 5√3 feet.
Answer:
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Step-by-step explanation:
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Answer:
Therefore, the volume of sphere is 1436.03 cubic units.
Step-by-step explanation:
3p : 8s
1p : (8/3)s
So for every one 'p' there is (8/3) 's'
Ratio of p to s is 1 : 8/3
Answer:
Principal element is $475.43
Interest payment is $390
Step-by-step explanation:
The amount of interest paid in month one is 4%*$117,000*1/12=$390
The interest is calculated based on the annual interest rate of 4% apportioned to reflect one month interest by multiplying by 1/12
The principal element of monthly payment is the monthly payment minus interest.
principal paid in month one=$865.43-$390=$475.43
Ultimately,$475.43 goes toward reducing her loan balance while the $390 is interest on loan
