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777dan777 [17]
1 year ago
11

Tyrone makes a scale drawing of his backyard. The scale from the backyard to the drawing is 2 ft to 1 in. The width of the patio

on the drawing is 8 in. What is the width of Tyrone's actual patio? Show your work
Mathematics
1 answer:
Sphinxa [80]1 year ago
6 0

Answer:

The width of Tyrone's actual patio is 16 feet

Step-by-step explanation:

\frac{2ft}{1in} =  \frac{x}{8}   If we look at what we know, we see that the scale tells us that 1 inch is proportional to 2 ft.  What do we need to multiple 1 inch by to get 8 inches?  8.  So, we multiply 2 feet by 8 to get the actual size of the patio which is 16 feet.

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if 3 gallons of paint cover a surface containing 825 square feet, how many gallons will need to be painted in 1,295 square feet
Mashutka [201]
Ratio and proprtion

paint/area=3/825

so if we wat 1295

3/825=?/1295
multily both sides by 1295
4.7090909090909090909090909090909=?
so about 4.7 gallons needed
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3 0
3 years ago
The height of a triangle is 4 ft less than the base x. The area is 126 ft2. Find the dimensions of the triangle.
valina [46]

Answer:

Base = x = 18ft

Height = x - 4 = 14ft

Step-by-step explanation:

The formula for the area of A the triangle is given by the following equation:

1) A = (base * heigth)/(2)

From this problem, we know that

base = x and that the height is 4ft less than the base, so height = base - 4 = x - 4.

We also know that the area is 126ft², so A = 126 ft². Now we can replace these informations in equation 1).

126 = (x(x-4))/2

x² - 4x = 252

x² -4x - 252 = 0

The roots of this equation are x = 18 or x = -14. But we know that a triangle cannot have negative dimensions, so we use x = 18.

The base is x, so base = 18ft.

Height is 4ft less than the base, so height equals 18-4 = 14ft

7 0
4 years ago
On the graph of the equation 8x − 3y = 24, what is the value of the y-intercept
Virty [35]
The y-intercept is -8 because when you put it in standard form you subtract 8x from both sides which give you-3y=-8x+24. Then you divide both sides by -3 which gives you y=8/3x-8. Since the form is y=mx+b, b is the y-intercept so it would be -8.
3 0
3 years ago
What is the ​ IQR ​ for the data set? {61, 70, 59, 55, 69, 59, 62} Drag and drop the correct answer into the box.
True [87]

Answer:

10

Step-by-step explanation:

Interquartile Range Formula:

IQR = Q3 - Q1

Quartiles Quartiles:

Q1 --> 59

Q2 --> 61

Q3 --> 69

69 - 59 = 10

[RevyBreeze]

5 0
2 years ago
Read 2 more answers
Convert the rate of 24 in/sec to an equivalent rate measured in ft/sec
motikmotik
2 feet in a second 12 inches in a foot
6 0
3 years ago
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