perpendicular means negative reciprocal so it would be -1/3
Answer:
15 feet
Step-by-step explanation:
The question talks about;
- A rectangular flower bed whose dimensions are 12 ft by 9 ft
We are required to determine the length of the diagonal
To answer the question, we need to know the following;
- All the angles in a rectangle are right angles
- A diagonal divides a rectangle into two right-angled triangles
- The dimensions of the rectangle acts as the legs of right angled triangle.
Therefore;
Using Pythagoras theorem;
a² + b² = c²
Where, c is the hypotenuse (in this case the diagonal)
a and b are the shorter sides of the right-angled triangle
Therefore;
c² = 12² + 9²
c² = 144 + 81
= 225
c = √225
= 15
Therefore, the length of the diagonal is 15 feet
Answer:
3/2x-2>5 1/2
Step-by-step explanation:
Two less than a number means we are subtracting 2, so we can write it into the equation as -2.
Since we dont know the value of x, we can just write 3/2 of x by multiplying 3/2 by x. So 3/2x. Also, since we are subtracting two from 3/2x, -2 comes after 3/2x.
Now, since it says that it is more than 5 1/2, we could use the greater than sign (>), to express that. So >5 1/2
Our final expression is 3/2x-2>5 1/2.
Hope this helps!
Answer:
Reductio ad absurdum is a Latin phrase that means "reduction to the absurd". The phrase describes a kind of indirect proof. It's proof by contradiction and is a common form of argument. It shows that a statement is true because its denial leads to a contradiction or a false or absurd result.
Answer:
Step-by-step explanation:
Convert mixed fraction to improper fraction.
÷ 
= 
÷
Now use K C F method
K - Keep the first fraction
C - Change the division operation to multiplication
F- Flip the second number
