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Artemon [7]
3 years ago
6

You are a stone sawyer. The scale drawing you are using to cut paving stones for a driveway shows a measurement 2 inches wide an

d 4.5 inches long. You are going to cut stones 18 inches long. How wide do they need to be?
Mathematics
1 answer:
aleksandr82 [10.1K]3 years ago
3 0

Answer:

The actual width of cut stones is 8 inches

Step-by-step explanation:

The scale drawing you are using to cut paving stones for a driveway shows a measurement 2 inches wide and 4.5 inches long.

Scale drawing length = 4.5 inches

Scale drawing breadth = 2 inches

Actual length = 18 inches

Let x be the actual width

So,\frac{4.5}{2}=\frac{18}{x}

x=\frac{18 \times 2}{4.5}

x=8

Hence the actual width of cut stones is 8 inches

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Solve 5x 2 - 7x + 2 = 0 by completing the square. What are the solutions?
Alexeev081 [22]

Answer:

x=\frac{2}{5} or x=1

Step-by-step explanation:

The given quadratic equation is

5x^2-7x+2=0

Group the constant terms on the right hand side.

5x^2-7x=0-2

5x^2-7x=-2

Divide through by 5.

x^2-\frac{7}{5}x=-\frac{2}{5}

Add the square of half the coefficient of x., which is (\frac{1}{2}\times- \frac{7}{5})^2=\frac{49}{100} to both sides of the equation.

x^2-\frac{7}{5}x+\frac{49}{100}=-\frac{2}{5}+\frac{49}{100}

The left hand side is now a perfect square.

(x-\frac{7}{10})^2=\frac{9}{100}

Take the square root of both sides;

(x-\frac{7}{10})=\pm \sqrt{\frac{9}{100}}

x-\frac{7}{10}=\pm \frac{3}{10}

x=\frac{7}{10}\pm \frac{3}{10}

x=\frac{7-3}{10} or x=\frac{7+3}{10}

x=\frac{4}{10} or x=\frac{10}{10}

x=1 or x=\frac{2}{5}

5 0
3 years ago
Read 2 more answers
My question is <br> 2+2/4*10
alexandr1967 [171]

2+2=4 so now its 4/4*10. 4*10 is 40 so now its 4/40. Dividing both sides by 4 will get you the simplest form 1/10

5 0
3 years ago
Read 2 more answers
NEED HELP ASAPPP!!!! Get brainlist!
tangare [24]

Answer:

394.9 cm

Step-by-step explanation:

The formula for a cone's surface area is A = π r ( r + √r^2 + h^2 ).

r = radius

h = height

The Pythagorean theorem, a^2 + b^2 = c^2, will be needed to find the height.

Plug in the values.

a(unknown)^2 + 6^2 = 15^2

A + 36 = 255

255 - 36 = 189

√189 ≈ 13.7

Surface area formula, plug in the values.

A = 3.14 × 6 ( 6 + √6^2 + 13.7^2 )

*PEMDAS*

A = 3.14 × 6 ( 6 + √36 + 187.69 )

A = 3.14 × 6 ( 6 + √223.69 )

A = 3.14 × 6 ( 6 + 14.95 )

A = 3.14 × 6 ( 20.96 )

A = 3.14 × 125.76

A = 394.8864

*round to nearest tenth*

A = 394.9 cm

Hope this helps! :)

8 0
3 years ago
Find the equation of the line.<br> Use exact numbers.
luda_lava [24]

Answer:

y = -2x + 5

Step-by-step explanation:

Looking at the line, every time it moves one unit to the right, it goes down two units. Therefore, the slope is -2. Since the y-intercept is 5, the equation of this line is y = -2x+5.

I hope this helped!

<u><em>Please mark as Brainliest!</em></u>

4 0
1 year ago
60% convert into fraction (lowest term, step by step explanation).
sesenic [268]

Answer:

60/100

=6/10

=3/5

Step-by-step explanation:

8 0
3 years ago
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