Answer:
4.99 units
Step-by-step explanation:
Considering ∆ABD in the figure given, <ABD = <ABC = 90° (angle on a straight line)
Therefore, we would consider ∆ABD as a right angled triangle having side AB = 3 units, and angle D = 31°
==>Use trigonometric function to solve for the length of side BD
Side BD is the adjacent side to the angle given, while side AB is the opposite side to the angle given.
Thus,
tan D = opposite/adjacent
tan 31 = 3/BD
0.6009 = 3/BD
multiply both sides by BD
0.6009*BD = 3
Divide both sides by 0.6009 to make BD the subject of formula
BD = 3/0.6009
BD ≈ 4.99 units
we know that
A polynomial in the form
is called a sum of cubes
so
Let's verify each case to determine the solution
<u>case A)</u> 
we know that




-------> is not a perfect cube

therefore
the case A) is not a sum of cubes
<u>case B)</u> 
we know that
-------> is not a perfect cube



-------> is not a perfect cube

therefore
the case B) is not a sum of cubes
<u>case C)</u> 
we know that
-------> is not a perfect cube




therefore
the case C) is not a sum of cubes
<u>case A)</u> 
we know that





Substitute


therefore
<u>the answer is</u>
is a sum of cubes
I'll do this step-by-step. Note, ratios are basically division signs.
The ratio of cars to motorcycles in a parking lot is 10:3, which means there are 10 cars for every 3 motorcycles.
The ratio of motorcycles to vans is 2:3, there are 2 motorcycles for every 3 vans.
There are 30 vans, so there are 20 motorcycles, since 20 motorcycles:30 vans is equal to 2 motorcycles: 3 vans in fractions. (20 / 30 = 2 / 3)
So, the ratio of cars represented by x to the number of motorcycles, 20 can be written as x / 20 = 10 / 3. 10 / 3 is 3.333, meaning 3.333 cars per 1 motorcycle, so multiply 20 by 3.333 to get x, which is 66. There are 66 cars and 30 vans, so there are 33 more cars than vans in the parking lot. 66/20 = 10/3, both have a ratio of 3.33 when divided.
If you don't want the explanation, there are 33 more cars than vans in the parking lot.
It’s easy just make a line and put numbers each line to solve the linear equation and than solve it simple