Answer:
All except complementary angle.
Step-by-step explanation:
Complementary angles equal 90 degrees.
Answer:
See below in bold.
Step-by-step explanation:
Mean = 150 cm = 150 * 0.033 feet
= 4.95 feet.
The standard deviation = 10 cm = 10 * 0.033
= 0.33 feet.
Answer:

Step-by-step explanation:
Let's call B at the base of the triangle and call h at the height of the triangle. Then we know that:
The height of a triangle is 5 cm shorter than its base. This means that:
.
The area of the triangle is 25 cm²
By definition the area of a triangle is:

For this triangle we know that
and
. We substitute these values in the equation and solve for B.


Now we use the quadratic formula to solve the equation.
For an equation of the form
the quadratic formula is:

In this case note that: 
Then:



The solutions are:


For this problem we take the positive solution.

Now we substitute the value of B in the equation to find the height h


Answer:
x = 3.67
Step-by-step explanation:
Simplify both expressions
14x - 18 = 5x + 15
Subtract the bigger (n)x by the smaller
14x - 5x = 9x
Plus the smallest by itself, giving you:
9x - 18 = 15
+18 +18
9x = 33
Simplify ( divided by 3 )
3x = 11
x = 3.67
Answer: C
Explanation:
. there are multiple sockets that can be interchanged easily to accommodate many different size nuts and bolts