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3 years ago

If a circle garden has a diameter of 60 feet and there’s a sidewalk 18 feet from the center, how long is the sidewalk?

Mathematics

1 answer:

Paul [167]3 years ago

8 0

Answer:

Step-by-step explanation:

Conditions

A diameter must be chosen such that it meete the sidewalk perpendicular to itself.
The diameter meets the sidewalk at the sidewalk's midpoint.
The diameter meets the sidewalk such that the diameter is cut into two segments 30+18 and 12
The sidewalk is cut in 1/2 where the diameter meets the sidewalk as the diagram shows.
If all these conditions are met, the relationship between the four lines is

Equation

48/12 = x^2

Solution

4 = x^2

sqrt(x^2) = sqrt(4)

x = 2

The length of the sidewalk is 4. Why is it doubled.

Because there are 2 xs of equal length

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The obriens are buying new windows for their house. The company installs the new windows for 2100 the total cost for buying the

Blizzard [7]

Answer:

Step-by-step explanation:

Given that:

Cost of purchase and installation = 5323.50

Cost per window = 230.25

Cost of installation = 2100

Hence,

Total purchase cost of windows alone :

5323.50 - 2100 = 3,223.50

Therefore, the number of windows purchased is :

(Total purchase cost of windows alone / price per window)

(3,223.50 / 230.25)

= 14

Hence, 14 windows was purchased

7 0

3 years ago

(2x+4)^2 - (x-5)^2 = 26x Please solve (explained)

Zina [86]

Expand the squared binomials:

$(2x+4)^2=4x^2+16x+16$

$(x-5)^2=x^2-10x+25$

Then

$(4x^2+16x+16)-(x^2-10x+25)=3x^2+26x-9=26x$

$\implies3x^2-9=0$

$\implies3x^2=9$

$\implies x^2=3$

$\implies x=\pm\sqrt3$

5 0

3 years ago

Write an inequality for the graph shown below. User for your variable. X o ?

zvonat [6]

Answer:

3 > x

Step-by-step explanation:

3 is larger than all of the values on the line, of which the arrow is pointing. The circle is open, so it means that it is not greater than or equal to.

I hope this helps!

-No one

8 0

2 years ago

I don't even know what I'm soposto do

seropon [69]

Its A or C because Angle AEC has to be bigger then 90 degrees

3 0

3 years ago

Read 2 more answers

What is the slop of the line?

miskamm [114]

The slope of the line is 2. Why? Well, see below for an explanation!

The slope of a line is found by using the formula rise/run (rise over run). This means that by starting at the initial value of the y-intercept, 3, we would count how many units away we are from the next complete point. We do so by counting from left to right, and in this case, going up and then to the right. To get from the point (0, 3) to the point (1, 5), we would move two spaces vertically along the y-axis and one space horizontally along the x-axis. Because the slope of the line is found using the formula m = rise over run, the slope would be 2/1 because we went up 2 points and to the right one. When simplifying, we will find that 2 divided by 1 equals 2. Hence, our slope is 2.

Your final answer: The slope of the line is 2/1 or 2. If you need extra help, let me know and I will gladly assist you.

8 0

1 year ago