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.
The area of the larger ttaingle is 12 cm squared
Answer:
slope: 
equation: 
Step-by-step explanation:

- point-slope form of Equation of the Line

Answer: (0.5496, 0.5754)
Step-by-step explanation:
The confidence interval for population proportion (p) is given by :-
, where
= Sample proportion , n= sample size , z*= Critical z-value.
Let p be the proportion of all college students who are in favor of banning Hawaiian shirt.
Given, A random sample of 4000 college students yielded 2250 who are in favor of banning Hawaiian shirts.
i.e. n=4000

z-value for 90% confidence level is 1.645
Now , 90% confidence interval for p would be :


Hence, the required 90% interval = (0.5496, 0.5754)
Step-by-step explanation:
112+68+112+x = 360⁰
292⁰+x = 360⁰
x = 360⁰- 292⁰
x= 68⁰