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:
0
Step-by-step explanation:
please look at the picture that I attached and try to understand it
Step-by-step explanation:
Straight line = 180 °
5x + 78 = 180
5x = 180 - 78
5x = 102
x = 20.4
and y = 78 ° because y is an opposite angle of 78 °
For this case we must calculate the values of the unknowns.
We have then:
is 3,000 times greater than
We have the following equation:
From here, we clear the value of x:
Then, on the other hand we have:
"and is _____ times greater than 1.38 × 101"
That is, we have the following equation:
The value of y is:
Answer:
6.9 × 105 is 3,000 times greater than 2.3 × 102 and is 50000 times greater than 1.38 × 101.
