Answer:
the length of the rectangle is, 21 in.
Step-by-step explanation:
Area of the rectangle(A) is given by:
.....[1]
where,
l is the length of the rectangle
w is the width of the rectangle.
As per the statement:
The width of a rectangle is 9 in. shorter than its length.
⇒
It is also given that:
The area of the rectangle is 252 in².
⇒A = 252 in².
Substitute in [1] we have;

⇒
⇒
Factorize this equation:
Split the middle term;
⇒
⇒
⇒
By zero product property we have;
and 
⇒
and 
Since, length cannot be in negative
⇒
Therefore, the length of the rectangle is, 21 inches.
Answer:
A) 1/45
B) 1/60
Step-by-step explanation:
<u>Part A</u>
The actual car has a length to width ratio of ...
length/width = (570 cm)/(180 cm) = 57/18 = 3 1/6
The rectangle on the screen has a length to width ratio of ...
length/width = (13 cm)/(4 cm) = 3 1/4
Relative to its width, the screen rectangle is longer than necessary for a model of the car. So, the scale factor will be determined by the width of the car relative to the width of the screen model.
For a model width of 4 cm, the scale factor is ...
model/life-size = (4 cm)/(180 cm) = 1/45
__
<u>Part B</u>
For a model width of 3 cm, the scale factor is ...
model/life-size = (3 cm)/(180 cm) = 1/60
3mg
(Multiply 45mg by 20ml and then divide by 300ml I believe. )
((:
Answer:
whats the original temperature it cut off, c ant answer this without seeing that
but just keep subtracting 3 from it per hour
Step-by-step explanation:
Step-by-step explanation:
The polynomial x³ + 8 is equal to (x + 2)(x² - 2x + 4)
= (x + 2)(x² - 2x + 4)
= x³ - 2x² + 4x + 2x² - 4x + 8
= x³ + (-2 + 2)x² + (4 - 4)x + 8
= x³ + 8