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.
Volume of a cone can be found using the equation 1/3 π r² h (or π r² h / 3)
17.6 is the diameter so divide that by 2 to get the radius which is 8.8
(1/3)π(8.8²)(23.4) = (1/3)π(77.44)(23.4) = (1/3)π(1812.096) = (604.032)π
if you need a more specific answer and pi can equal 3.14 then it equals 1896.66048
14 = 2•7 and 35 = 5•7, so the GCF of 14k and 35 is 7.
14k + 35 = 2•7k + 5•7 = 7 (2k + 5)
(Remember that the distributive property says a (b + c) = ab + ac.)
Answer: C
I put the working in the other question you put up, but to put it briefly, multiply everything by 6 because all the options provided have a -6 inside that was meant to be the -1
