Answer:
Step-by-step explanation:
So this is just playing with the pythagorean theorem
a^2 + b^2 = c^2 with a and b as legs and c as the hypotenuse.
Let's say a is equal to 1500 so then c is 4 times b
1500^2 + b^2 = (4b)^2 Now we just treat this like a normal algebraic expression
2,250,000 = 16b^2 - b^2
2,250,000 = 15b^2
150,000 = b^2
sqrt(150,000) = b
100sqrt(15) = b
You can check this now.
1500^2 + sqrt(150,000)^2 = c^2
sqrt(2,250,000 + 150,000) = c
sqrt(2,400,000) = c
400sqrt(15) = c Which fits the requirement of c = 4b
X+(x+2)+(x+4)=3639
3x+6=3639
3x=3633
X=1211
Numbers are: 1211, 1213, 1215
X+(x+2)+(x+4)=672
3x+6=672
3x=666
X=222
Numbers are: 222,224,226
Answer:
Because square root is essentially the same thing as the power to a half
sqrt(x) is the same as (x)^1/2
4x+6y=8
3x+y=9
y = 9 - 3x
4x + 6(9-3x) = 8
4x + 54 - 18x = 8
14x = 46
x = 23/7
y = 9 - 3(23/7)
y = 9 - 69/7
y = - 6/7
H=how far up from the ground does the ladder touch the building
h/30=sin 25°
h=30 sin 25°
h=12.7 decimeters(1 decimal place)
Answer: The height that the ladder touch the building far up from the ground is 12.7 decimeters.