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:
length= 8 width = 4
Step-by-step explanation:
24-8=16
16/2=8
8+8+4+4=16+8=24
It is <span>reflection across y = x
</span>
Answer:
Arc DB = 146
x = 5
Step-by-step explanation:
Remark
The relationship between the large arc, the small arc and the intersecting angle is
1/2 (large arc - small arc) = intersecting angle.
Givens
Large arc = 25x + 21
Small arc = 96
5x
Solution
1/2*(25x + 21 - 96) = 5x*2 Multiply both sides by 2
25x + 21 - 96 = 10 x Combine
25x - 75 = 10x Subtract 25x from both sides
-75 = 10x - 25x
-15x = -75
x = 5
DB = 25x + 21
DB = 25*5 + 21
DB = 125 + 21
DB = 146
Tell me if this is not in the choices.
