Answer:
<em>35.11 ft</em>
<em></em>
Step-by-step explanation:
This given situation can be thought of as triangle
where PQ is the length of pole.
PR is the length of rope.
and QR is the distance of bottom of pole to the point of fastening of rope to the ground.
And 
Given that:
PQ = 44 ft
PR = 51 ft

To find:
Side QR = ?
Solution:
We can apply Sine Rule here to find the unknown side.
Sine Rule:

Where
a is the side opposite to 
b is the side opposite to 
c is the side opposite to 

Now,

Let us use the Sine rule again:

So, the answer is <em>35.11 ft</em>.
Answer:
This is absolute value equation so collect like terms and find X
15+5=|x|
20=|x|
since it's absolute value it's going to be 20 or -20
Answer:
1) solution is y = -7
2.) DNE
3.) Solution is y = -2
Step-by-step explanation:
1.) 2+3 = y + 12
Add the LHS and make y the subject of formula
5 = y + 12
Y = 5 - 12
Y = - 7
The solution of the equation is - 7
2.) 2 + 13 = 1 +8
Since there is no unknown variable and the sum of the numbers in the left hand side ( LHS ) is not equal to the sum of the numbers in the right hand side ( RHS ), it will be concluded that there is no solution in the equation.
3.) y - 7 = 2 - 11
Sum the RHS and make y the subject of formula
Y - 7 = -9
Y = -9 + 7
Y = -2
The solution of the equation is -2
p=15250
r=7.5/100=0.075
y = 15250*(1 - 0.075)^x
after 8 years it would be
x = 8
y = 15250*(1 - 0.075)^8
y = $8,173.42
after 8 years the value of the car is going to be $8,173.42
Answer: C) add 12 to both sides
Reason:
We add 12 to the left side to undo the -12, which will get y by itself.
We must do the same thing to both sides to keep things balanced.