Answer:
A) Area = 
B) Domain = {x < 24}
Step-by-step explanation:
<u>Complete Question:</u>
A car dealership has 24ft of dividers with which to enclose a rectangular play space in a corner of a customer lounge. The sides against the wall require no partition. Suppose the play space is x feet long.
A) express the area of the play space as a function of x
B) find the domain of the function
Solution:
A)
The rectangle has area of length * width
length is x
so width will be 24 - x
Hence, the area will be:
Area = x(24 - x)
Area =
B)
Domain is the set of x values that make the function defined.
The domain will be all values less than 24.
Because if you take 24, the area would be 0 [doesn't make sense]
if you take anything over 24, the area would be negative [not possible]
Hence, the domain is:
Domain = {x < 24}
<h3>
Answer: (2,0)</h3>
Explanation:
The vector (0,2) points directly north and the length of this vector is 2 units. It's the distance from (0,0) to (0,2).
When rotating 270 degrees counterclockwise, we'll turn to the left or westward direction (90 degrees so far) then at some point aim directly south (180 degrees so far) and finally ultimately end up pointing directly east (after getting to 270). So that's how we go from (0,2) to (2,0).
If you were to go clockwise, then everything flips and you'll ultimately end up pointing directly west. The length of the vector stays the same the whole time.
Answer:
Option A
Step-by-step explanation:
By using the definition of an exterior angle of a triangle,
"Measure of the exterior angle of a triangle is equal to the sum of measures of the opposite interior angles"
m∠STP = m∠SWT + m∠STW
Substitute the measures of the angles from the picture attached,
15x = (7x + 1) + (7x + 6)
15x = (7x + 7x) + (1 + 6)
15x = 14x + 7
15x - 14x = 7
x = 7
Therefore, Option A will be the correct option.
Answer:
Results are below.
Step-by-step explanation:
Giving the following information:
Decrease rate (d)= 7%
Number of periods (n)= 7 years
Current population (PV)= 48,000
<u>First, to calculate the future value, we need to use the following decrease exponential formula:</u>
<u />
FV= PV*[(1+d)^-n]
<u>After 7 years:</u>
FV= 48,000*(1.07^-7)
FV= 29,892
For the answer to the question If the distance from the plane (P) to the tower (T) is 5,000 ft., how far is the bird (B) from the plane (P)? The answer is <span>11,779 feet.
And for the answer to the second question on w</span>hat is the angle of depression from the bird (B) to the observer (O)? The answer is <span>56.31°</span>
