Option A:
The simplest radical form of x is
.
Solution:
Hypotenuse = 16 in
Two sides are 11 in and x.
To find the value of x:
Pythagoras theorem:
In a right angle triangle, the hypotenuse is equal to the sum of the other two sides.


Subtract 121 from both sides of the equation.


Taking square root on both sides of the equation.


Hence option A is the correct answer.
Hence the simplest radical form of x is
.
Answer:
A. Building A, it is around 100.69 feet taller than building B.
Step-by-step explanation:
Since building A is 120 feet away at and elevation of
, then:
Tan
= 
Where x is the height of the building at the horizontal plane.
x = Tan
× 120
= 100.692 feet
For building B at the same elevation,
Tan
= 
x = Tan
× 60
= 50.346 feet
Since the angle of elevation are the same, building A is around 100.69 feet taller than building B.
Answer:
We start with the equation:
A: 3*(x + 2) = 18
And we want to construct equation B:
B: X + 2 = 18
where I suppose that X is different than x.
Because in both equations the right side is the same thing, then the left side also should be the same thing, this means that:
3*(x + 2) = X + 2
Now we can isolate the variable x.
(x + 2) = (X + 2)/3
x = (X + 2)/3 - 2
Then we need to replace x by (X + 2)/3 - 2 in equation A, and we will get equation B.
Let's do it:
A: 3*(x + 2) = 18
Now we can replace x by = (X + 2)/3 - 2
3*( (X + 2)/3 - 2 + 2) = 18
3*( (X + 2)/3 ) = 18
3*(X + 2)/3 = 18
(X + 2) = 18
Which is equation B.
Answer:

Step-by-step explanation:
See attachment for complete question


From the question, we understand that one shrub must be at both ends.
Taking the first as a point of reference, we're left with:

Substitute 10 for n and d for distance



Hence:
answers the question
Answer:
13/90 > 1/7 or 1/7 < 7/90
Step-by-step explanation:
to compare two rational expression you should make the denominator equal
1/7 ➡ ×90 = 90/630
13/90 ➡ ×7 = 91/630