The recursive formula for an arithmetic sequence is:

The cost of putting in automatic sprinklers for a lawn largely depends upon the length of Poole that must be laid. The controlle

OLga [1]

Answer:

$c(F) = 135 + 2.5F$

Step-by-step explanation:

We are given the following in the question:

Controller cost = $135

System cost = $2.50 per foot of pipeline

The total cost depends upon the length of Pole.

Let the system requires F feet of pipeline.

Total cost will be given by the equation:

$c(F) = \text{Controller cost + System cost(Feet of pipeline required)}\\c(F) = 135 + 2.5F$

is the required expression for total cost

F: feet of pipeline required

c(F): Total cost of installation

5 0

2 years ago

Which graph best represents -5y = -6x + 15

frutty [35]

Answer: Option c.

Step-by-step explanation:

The equation of the line in Slope-Intercept form is:

$y=mx+b$

Where "m" is the slope and "b" is the y-intercept.

Given the equation:

$-5y = -6x + 15$

Solve for "y" in order to write in Slope-Intercept form:

$y = \frac{-6}{-5}x + \frac{15}{-5}\\\\y = \frac{6}{5}x -3$

Now you can identify that that the slope and the y-intercept are:

$m=\frac{6}{5}\\\\b=-3$

A posive slope means that the the line moves upward from left to right.

With this information, you can conclude that the the graph that best represents the given equation is the graph shown in the Option c.

3 0

2 years ago

The perimeter of a rectangle is 152m. If the length is one morethan twice of its width. Find the length and width of rectangle.

sergejj [24]

Step-by-step explanation:

Perimeter of a Rect.= 2(l+b)

b= x

l= 2x

Equation

152= 2(2x+x)

152= 2(3x)

152= 6x

x= 25.33

2x= 50.66

Therefore length is 50.66m and breadth is 25.33m

3 0

2 years ago

The sides of triangle ABC are 4.5feet 7.5 ft and 9 ft.The area is about 17 square feet. Explain how to use the are of triangle A

Nuetrik [128]

In order to get the area of a triangle using sides, the formula that we are going to use is Heron's formula. This is after from "Hero of Alexandria".
So here is the step by step process:
First, we calculate for s (half of the triangles perimeter) s = a+b+c divided by 2.
s = 6 + 10 + 12 / 2
s =28/2
s = 14
Now that we have the s, we can now calculate for the area.
A = square root of s(s-a)(s-b)(s-c)
A= square root of 14 x 8 x 4 x 2
A= square root of 896
A = 29.93
The area of triangle DEF is 29.93 square feet or 30 square feet. Hope this answer helps.

5 0

2 years ago

Read 2 more answers

The picture shows a triangular island: Which expression shows the value of c?

anyanavicka [17]

Answer:

c = b / cos 45.

Step-by-step explanation:

cos 45 = b/c

c * cos 45 = b

c = b / cos 45.

5 0

2 years ago