The width used for the car spaces are taken as a multiples of the width of
the compact car spaces.
Correct response:
- The store owners are incorrect
<h3 /><h3>Methods used to obtain the above response</h3>
Let <em>x</em><em> </em>represent the width of the cars parked compact, and let a·x represent the width of cars parked in full size spaces.
We have;
Initial space occupied = 10·x + 12·(a·x) = x·(10 + 12·a)
New space design = 16·x + 9×(a·x) = x·(16 + 9·a)
When the dimensions of the initial and new arrangement are equal, we have;
10 + 12·a = 16 + 9·a
12·a - 9·a = 16 - 10 = 6
3·a = 6
a = 6 ÷ 3 = 2
a = 2
Whereby the factor <em>a</em> < 2, such that the width of the full size space is less than twice the width of the compact spaces, by testing, we have;
10 + 12·a < 16 + 9·a
Which gives;
x·(10 + 12·a) < x·(16 + 9·a)
Therefore;
The initial total car park space is less than the space required for 16
compact spaces and 9 full size spaces, therefore; the store owners are
incorrect.
Learn more about writing expressions here:
brainly.com/question/551090
Answer:
2.9 miles
Step-by-step explanation:
If you draw this as a diagram, you will see that it is a right angled triangle and the missing side is the hypotenuse (the longest side). To calculate this, you will need to use the right angle law:
check out the document below (sorry, it's a little bit blurry)
Answer:
40/8=5
Other side length = 5
Step-by-step explanation:
You don't even need the picture to solve this one.
You said that h = 5 cot(Θ) , and you said that Θ is 30 degrees.
All you need now is to find the cotangent of Θ, plop that into the equation,
and the solution practically jumps off the paper into your lap.
To find the cotangent of 30 degrees, you can use a calculator, look it up
in a book, read it off of a slide rule if you have one, draw a picture of a
30-60-90 right triangle etc. You'll find that the cotangent of 30 degrees
is √3 . That's about 1.732 .
So your equation is h = 5 (1.732) = <em>8.66 </em>(rounded)
Apparently, somebody gave you the equation, and asked you to find 'h'.
Once you had the equation, you didn't even need to know that 'h' has
anything to do with a triangle.
F(x)=2x(2)−96
Step 1: Add -4x to both sides.
xf+ −4x = 4x−96+ −4x
xf −4x= −96
Step 2: Factor out variable x.
x(f−4)= −96
Step 3: Divide both sides by f-4.
x(f−4)/ f−4 = −96/ f−4
x= −96/f−4
Answer:
x= −96/ f−4
