Answer:The base of the ladder from the tree is 28ft
Step-by-step explanation:
Using pythagorean theorem
Let 100ft= hypothesis is the right angle triangle
Let 96ft be the height of the ladder
Let x be the base of the right angle triangle between the base of the ladder and the tree
h^2=a^2+b^2
100^2=96^2 +b^2
10,000=9216 +b^2
b^2=10,000-9216
b=sqrt(784)
b=28ft
Answer:
x = -2, y=1
Step-by-step explanation:
x-7y=-9---------------------equation 1
-x+8y=10-------------------equation 2
From equation 1, make x the subject of formula
x=7y-9----------------------equation 3
substituting x=7y-9 in equation 2,
-(7y-9)+8y=10
Expanding bracket
-7y+9+8y=10
Collecting like terms
8y-7y=10-9
y=1
substituting y=1 in 3
x=7(1)-9
x=7-9
x=-2
Answer:
53
Step-by-step explanation:
so first sutract the large angle from 360:
360 - 213 = 147
then subtract the other large known angle:
147 - 107 = 40
now we know the x - 13 = 40 so to find x we just have to add 13:
40 + 13 = 53
If its a triangle u have to add the given angles and subtract by 180 to get x
Answer:
x=2
Step-by-step explanation:
2In(4x)=2In(8)
determine the defined range
2In(4x)=2In(8) , x is greather than 0
divide both sides by 2
In(4x)=In(8)
set the arguments equal
4x=8
divide both sides by 4
x=2, x is greater than 0
x=2