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xxMikexx [17]
2 years ago
8

Lady Liberty holds a tablet in her left hand. The tablet is 7.19 m long and 4.14 m wide. If you made a scale drawing using the s

cale 1 cm:0.75 m, what would be the width of the
scaled tablet rounded to the nearest hundredth?

Mathematics
1 answer:
Gekata [30.6K]2 years ago
3 0

Answer: Option D; w = 5.52 cm

Step-by-step explanation:

We know that the width of the tablet is 4.14m

We want to do a scale drawing such that 1cm is equivalent to 0.75m.

Then, the first thing we need to do is count how many times we have 0.75m in the 4.14m

This is equal to:

N = 4.14m/0.75m = 5.52

And we know that each one of these is equivalent to one centimeter in the scaled tablet.

then we have that the width of the scaled tablet is:

W = 1cm*N = 1cm*(5.52) = 5.52 cm

The correct option is D.

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A wheel with radius 1 foot makes 1 revolution in 4 seconds. What is the linear velocity, in feet per second, of a point on the e
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Radius = r = 1 foot

Angular velocity = w = 1 revolutions in 4 seconds

So,

w = 0.25 revolutions per second

Since,

1 revolution = 2π radians

We can write the above equation as:

w = 0.25 x 2π radians per second = 0.5π radians per second

Linear Velocity = v = r w

Using the values, we can write:

v = 1 x 0.5π  

= 0.5 π

= π/2 feet per second

Therefore, the correct answer is option B

7 0
2 years ago
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Hilary's Horse Hideaway is buying dirt to fill their circular training area. The training circle is 28 feet across. What is the
AnnZ [28]

Answer:

A = 615.75

cost = $107.08

Step-by-step explanation:

the training area = (28/2)^2*pi

training area = 615.75 square feet

615.75/5.75 = 107.08

$107.08

5 0
1 year ago
I'm a little bit confused about how to approach this can someone help?
Taya2010 [7]

Answer:

4

Step-by-step explanation:

ΔABC is congruent with ΔDEF.  That means the corresponding sides are congruent.

Look at the order of the letters.  EF are the last two letters of ΔDEF.  So this corresponds with the last two letters of ΔABC.  Therefore, EF ≅ BC.

EF ≅ BC

x² + 8x = 48

x² + 8x − 48 = 0

(x + 12) (x − 4) = 0

x = -12 or 4

Since x can't be negative, x = 4.

5 0
2 years ago
Solve the equation 0.25 (8z - 4) = z + 8 - 2z
Andrew [12]
Distribute
2z-1=z+8-2z
add like terms
2z-1=-z+8
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3z-1=8
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4 0
3 years ago
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Davis is putting tile in his rectangular kitchen. His kitchen is 13 feet long, and 17 feet wide. The tile davis is installing is
Fofino [41]

Answer:

It will cost is <u>$828.75</u>.

Step-by-step explanation:

Given:

Davis is putting tile in his rectangular kitchen. His kitchen is 13 feet long, and 17 feet wide. The tile davis is installing is $3.75 per square foot.

Now, to find the total cost.

Davis is putting tile in his rectangular kitchen.

Length = 13 feet.

Width = 17 feet.

So, to get the area of kitchen:

<em><u>Area = length × width</u></em>

Area = 13 × 17

Area = 221 square foot.

As, the unit rate is given.

Cost per square foot = $3.75.

Now, to get the total cost by using unitary method:

If cost of 1 square foot = $3.75.

So, the cost of 221 square foot = $3.75 × 221

                                                    = $828.75.

Therefore, it will cost  $828.75.

3 0
3 years ago
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