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mariarad [96]
4 years ago
7

If one bag of topsoil covers 10 square feet, how many bags are needed to cover this flowr bed?

Mathematics
2 answers:
Nataly [62]4 years ago
8 0
3 bags are needed to cover the flower bed.
Katyanochek1 [597]4 years ago
3 0

Answer:

3 bags are needed to cover this flower bed

Step-by-step explanation:

Use conversion:

1 yard = 3 feet

Area of a triangle(A) is given by:

A = \frac{1}{2}bh

where,

b is the base and h is the height of the triangle.

As per the statement:

From the given diagram:

Base(b) = 3 yards = 9 feet

Height(h) = 2 yard = 6 feet

then;

A = \frac{1}{2} \cdot 6 \cdot 9 = 3 \cdot 9 = 27 square feet.

Since, it is given that if one bag of topsoil covers 10 square feet

⇒10 square feet =  1 bag

then\;

in 27 square feet = \frac{27}{10} = 2.7 \approx 3 bag

Therefore, 3 bags are needed to cover this flower bed

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A factory makes light fixtures with right regular hexagonal prisms where the edge of a hexagonal base measures 4 cm and the leng
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The maximum length of the prism is highest length of the hexagonal prism

The maximum length of each prism is 8.0 cm

<h3>How to determine the maximum length of each prism?</h3>

The surface area of the hexagonal prism is calculated using:

A = 6al + 3\sqrt3 a^2

Where:

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l represents the length (or height) of the prism

The surface area costs $0.04 per square centimeter.

So, we have:

C = 0.04 * [6al + 3\sqrt3 a^2]

The maximum cost is $11.

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11 = 0.04 * [6al + 3\sqrt3 a^2]

Substitute 4 for a

11 = 0.04 * [6 * 4l + 3\sqrt3 * 4^2]

Evaluate the products and exponents

11 = 0.04 * [24l + 48\sqrt3]

Divide both sides by 0.04

275 = 24l + 48\sqrt3

Subtract 48\sqrt3 from both sides

24l = 275 - 48\sqrt3

Evaluate the difference

24l = 191.9

Divide both sides by 24

l = 8.0

Hence, the maximum length of each prism is 8.0 cm

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2 years ago
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The similar circles P and Q can be made equal by dilation and translation

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  • The scale factor of dilation from circle P to Q is 2.5

<h3>The horizontal distance between their centers?</h3>

From the figure, we have the centers to be:

P = (-5,4)

Q = (6,8)

The distance is then calculated using:

d = √(x2 - x1)^2 + (y2 - y1)^2

So, we have:

d = √(6 + 5)^2 + (8 - 4)^2

Evaluate the sum

d = √137

Evaluate the root

d = 11.70

Hence, the horizontal distance between the center of circles P and Q is 11.70 units

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We have their radius to be:

P = 2

Q = 5

Divide the radius of Q by P to determine the scale factor (k)

k = Q/P

k = 5/2

k = 2.5

Hence, the scale factor of dilation from circle P to Q is 2.5

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8 0
2 years ago
HELP MEEE PLS recipe cslls for 2 cups of suger and makes 48 cookies recipe B calls for 3 cups of suger and makes 54 of the same
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Answer:

So, when we solve for x we see that we can make 16 cookies using 1 cup of sugar. Then, yes, as you suggested we could divide 30 cookies by this ratio to see that we need less than 2 cups of sugar to make 30 cookies: And, as you said, this value is less than 2 cups, the value under Quantity B. Good job! I hope this helps :)

Step-by-step explanation:

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3 years ago
Which is larger 4 yard or 13 foot?
kow [346]
As 1 yard is equal to 3 feet , so 4 yard will be 12 feet !

so 13 foot > 4 yards
4 0
3 years ago
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