Answer:

Step-by-step explanation:
We need at least two points to write the equation of a straight line.
The recursive formula that Elijah wrote is:


When we substitute n=0, we get:



The points (0,30) and (1,37) lies on this line.
The equation of this line is of the form:

where b =30 is the y-intercept and m=7 is the slope.
We plug in these values to get:

Note that the slope of the line is equal to the common difference of the Arithmetic Sequence.
You could also use the two points to find the slope:

Divide the perimeter by 3 to find the side length.
Since the formula for the are of a triangle is
1/2 * b * h the height must be found.
If a perpendicular line is drawn from the apex of the triangle, a right triangle is formed with a base of 5 and a hypotenuse of 10. Also since it originally was equilateral the base angle is 60 degrees. The rules for finding lengths of sides of equal. Triangles is long leg = sqrt3 * short leg
the height is the long leg so the height is 5sqrt3.
A=(1/2)(10)(5sqrt3)= 25sqrt3
Answer:
$192.5
Step-by-step explanation:
1. turn 45% into .45
2. multiply .45 x 350
3. get 157.5 and then subtract 350-157.5
4. answer is 192.5
Answer:
Step-by-step explanation:
Since the land is a round enclosure, and it has 2.5 foot wide enclosure of pebbles surrounding, then the circumference of the garden is 2.5ft.
First we need to get the diameter of the garden using the formula;
Circumference= πd
2.5 = πd
d = 2.5/π
d = 2.5/3.142
d =0.796 feet
The total area of a round section of the land = πd²/4
The total area of a round section of the land = π(0/796)²/4
The total area of a round section of the land = 1.9892/4
<em>The total area of a round section of the land = 0.4973 ft²</em>