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Luba_88 [7]
3 years ago
9

Cindy can waterproof 400 ft2 of decking with 2 gallons of sealant. How many gallons should Florence buy for a 1200 ft2 deck?

Mathematics
1 answer:
Scrat [10]3 years ago
7 0
400*3=1200
2*3=5
Answer is 6 gallons
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10 ft
Gnom [1K]

Answer:

105.12 feets

Step-by-step explanation:

From the figure x we can identify a rectangle and a semicircle :

Area of rectangle = Length * width

Area = 8 * 10 = 80 feet²

The Area of a semicircle = 1/2πr²

Radius, r = 8 /2 = 4 feets

A = 1/2 * 3.14 * 4²

A = 3.14 * 8

A = 25.12 feet²

Area of figure = 80 + 25.12 = 105.12 feets

4 0
3 years ago
A balloon artist creates balloon hats for children at a store’s grand opening. The graph shows the number of balloons the artist
Dvinal [7]

Answer:

The phrase that best describes the the line representing the relationship between the number of balloons remaining and the number of hats created is:

  • Negative slope.
  • Constant slope.
  • Decreasing function.

Step-by-step explanation:

We are given a graph that represents the relationship between the Number of Balloons Hats and the number of balloons remaining.

Clearly from the graph we could that it is  a linear function.

Also, the function is a decreasing function since with the increase of one variable that is the number of Balloon hats produced the other variable i.e. Balloons remaining is decreasing.

Also, we can calculate the slope of the line.

as the line is passing through (0,500) and (100,0)

Hence, the slope of line is:

Slope=\dfrac{0-500}{100-0}\\\\Slope=\dfrac{-500}{100}\\\\Slope=-5

Hence, the graph has a negative slope.

Also, we know that a slope of a line is always constant.

So, the correct statements are:

Negative slope.

Constant slope.

Decreasing function.

5 0
3 years ago
Read 2 more answers
Find the equation of the line through (2,4) and (3,-1)
Natasha2012 [34]

y=23x+143 hope this helps

3 0
3 years ago
Read 2 more answers
What is the nth term rule of the linear sequence below?
timurjin [86]

Answer:

T _{n} = a + (n - 1)d \\ T _{n}  = 13 + (n - 1) \times  - 6 \\ T _{n} = 13 - 6(n - 1) \\ T _{n} = 13 + 6(1 - n)

8 0
3 years ago
100 points!!! Show your work on paper
lyudmila [28]

Answer:

  • 10 cm, 15 cm

Step-by-step explanation:

Set ratios and solve for x

<u>Corresponding sides are AC with A'C' and CB with C'B'</u>

  • AC/A'C' = CB/C'B'
  • (x - 1)/2 = (x + 4)/3
  • 3(x - 1) = 2(x + 4)
  • 3x - 3 = 2x + 8
  • 3x - 2x = 8 + 3
  • x = 11

<u>Find the values of AC and CB:</u>

  • AC = x - 1 = 11 - 1 = 10 cm
  • CB = x + 4 = 11 + 4 = 15 cm
5 0
3 years ago
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