Use Pythagorean Theorem of a^2 + b^2 = c^2 where a and b are the legs of the triangle set up by the house height and the ground, and c is the hypotenuse or how long the ladder is. C is going to be our unknown.
Just plugging in you get 25^2 + 35^2 = c^2. Simplify to 625 + 1225 = c^2. Simplify again to 1850 = c^2. The square root both sides to isolate the variable c. C = sqrt(1850) or approximately 43.0116 feet if rounded to 4 decimal places.
The ladder is approximately 43.0116 feet long.
Answer:
f
(
10
x
−
6
)
=
1000
x^
3
−
1800
x
^2+
1170
x
−
306
Step-by-step explanation:
Answer:
D. - 1/6
Step-by-step explanation:
M + 2/3 = 1/2
M = 1/2 - 2/3
Answer:
20 5/8 yd^2
Step-by-step explanation:
width = 3 3/4 yd
length = 5 1/2 yd
First change both measurements to fractions.
3 3/4 = 3 + 3/4 = 12/4 + 3/4 = 15/4
5 1/2 = 5 + 1/2 = 10/2 + 1/2 = 11/2
area = length * width
area = 15/4 yd * 11/2 yd
area = (15 * 11)/(4 * 2) yd^2
area = 165/8 yd^2
165/8 = 20 remainder 5
area = 20 5/8 yd^2
