Answer: The parking lot in the drawing is 36 centimeters.
Step-by-step explanation:
Given: Actual width of parking lot = 54 meters
The scale she used was 2 centimeters : 3 meters.
i.e. 3 actual meters = 2 centimeters on drawing
⇒ 1 actual meter = centimeters on drawing
⇒ 54 actual meters = centimeters on drawing
⇒ 54 actual meters = 36 centimeters
Hence, the parking lot in the drawing is 36 centimeters.
Answer:
See below
Step-by-step explanation:
We shall prove that for all . This tells us that 3 divides 4^n+5 with a remainder of zero.
If we let , then we have
, and evidently,
.
Assume that is divisible by
for
. Then, by this assumption,
.
Now, let . Then:
Since , we may conclude, by the axiom of induction, that the property holds for all
.
Answer:
Then the answer is option a
a. 0<x 10
Step-by-step explanation:
perimeter + height is less than 130 inches.
If height is 60 inches.then perimeter left is 70 inches.
If perimeter was more than 70 inches then perimeter 60 more than the height would be more than 130.
perimeter of rectangle is
It has two widths and two lengths because that's what rectangles do.
width of base "x"
Then the length is 2.5x
perimeter = 2 width + 2 length
=
= 2x + 5x
= 7x
but perimeter can't be more than 70 inches.
So x can't be more than 10 inches because if x was more than 10 inches, then 7x which is perimeter would be more than 70 inches.
7x + 60 ≤ 130
7x ≤ 70
x ≤ 10
Then the answer is option a
a. 0<x≤10