The equation for area of a triangle is 0.5*base*height, so when you halve both the base and height, the area gets divided by 4.
The area of the first triangle is 0.5*80*40 = 1600 cm^2.
6 1/4 cm^2 is the same as 25/4 cm^2.
Now, we have to see how many times 1600 cm^2 can be divided by 4 to get 25/4 cm^2.
Area of second triangle: 1600/4 = 400
Area of third triangle: 400/4 = 100
Area of fourth triangle: 100/4 = 25
Area of fifth triangle = 25/4
So, the fifth triangle has an area of 6 1/4 cm^2.
The pattern would be the area of the nth triangle =
Answer:

Step-by-step explanation:
In order to find the slope of a line you must find where the points intersect, use the formula for slope, substitute values, and simplify if needed.
In this case we were already given the points for slope:


Slope formula:

Now substitute:

Solve using KCC: (Keep, Change, Change)


=
Because the slope isn't a negative you do not need to simplify the answer.
Hope this helps.
It is between c 12 and d 13
12 cartons will be 15
and 13 will be 16.3
Answer:
x = √2 + 2, -√2 + 2
Step-by-step explanation:
y = -2(x-2)² + 4
-2(x-2)² + 4 = 0 --- replace y with 0
-2(x - 2)² = -4 --- subtract 4 from both sides
(x - 2)² =
--- divide both sides by -2
(x - 2)² = 2 --- simplify
x - 2 = +-√2 --- square root both sides
x - 2 = √2 --- split into 2 equations
x - 2 = -√2
x = √2 + 2 --- solve first equation
x = -√2 + 2 --- solve second equation
x = √2 + 2, -√2 + 2
Answer:
$1500
Step-by-step explanation:
you can figure it out by going in increments of 4.5 years because that is the info you have from the problem so
47000 4.5 years later is 23500
9 years = 11750
13.5y = 5875
18y = 2937.5
22.5 years later is 1468.75
22.5 years is about 23 years and to the nearest hundred dollars that is $1500 so that is the answer
Hope this helps! :)