Answer:

Step-by-step explanation:
Required
Determine an expression for the given statement
The expression can be rewritten as:
one-half * the cube of m subtracted by 4
Convert each statement to mathematical expressions:
One half = 
The cube of m = 
one-half * the cube of m = 
At this stage, we have:
subtracted by 4
This gives:


Hence, The corresponding expression is 
Answer: 
Step-by-step explanation:
Using the data given in the exercise, we can draw the diagram attached, where "h" is the height of the building reached by the top of the ladder.
Notice that there are two similar triangles.
So, you can set up the following proportion:

Finally, in order to calculate the height on the building reached by the top of the ladder, you must solve for "h".
Therefore, the value of "h" is :

Volume = Ah
where:
A is area of base
h is perpendicular height
Answer:
500 square units.
Step-by-step explanation:
The hexagon is composed of two trapezoids (both of which are congruent). Let's find the area of the top trapezoid
A = h*(b1+b2)/2
A = 10*(40+10)/2
A = 10*(50)/2
A = 500/2
A = 250
Each trapezoid has area of 250 square units. So the combined area is 2*250 = 500 square units.
Answer:
a=9
c= 17.5
angles: a =31, b =59, c =90
Step-by-step explanation:
a:
tan (31) = a/15 *cross multiply*
a = 15 (tan (31))
a = 9
c:
*use pythagorean theorum*
9^2 + 15^2 = c^2
81 + 225 = c^2
306 = c^2
17.5 = c