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3 years ago

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How to solve the word problem The ant walked 53 cm. The caterpillar crawled 22 cm farther than the ant. How far did the caterpil

lar crawl?

2 answers:

Brilliant_brown [7]3 years ago

5 0

Answer:

75cm

Step-by-step explanation:

53 + 22 = 75

FromTheMoon [43]3 years ago

4 0

If the caterpillar crawled 22cm farther than the ant, then we are adding 53 and 22 to get 75cm.

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0.33 in a fraction simplest

Allushta [10]

That's 33/100 and can't be simplified. If you had said that the 3s keep going and never end, then it would have been 1/3. But as written, it's just 33/100.

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Find the area of the regular polygon. Round to the nearest tenth.

mojhsa [17]

Given:

Side length = 12 in

To find:

The area of the regular polygon.

Solution:

Number of sides (n) = 6

Let us find the apothem using formula:

$$a=\frac{s}{2 \tan \left(\frac{180^\circ}{n}\right)}$

where s is side length and n is number of sides.

$$a=\frac{12}{2 \tan \left(\frac{180^\circ}{6}\right)}$

$$a=\frac{6}{ \tan (30^\circ)}$

$$a=\frac{6}{ \frac{1}{\sqrt{3} }}$

$$a=6\sqrt{3}$

Area of the regular polygon:

$A=\frac{1}{2}(\text { Perimeter })(\text { apothem })$

$$A=\frac{1}{2}(6 \times 12)(6\sqrt{3} )$

$$A=\frac{1}{2}(72)(6\sqrt{3} )$

$A=216 \sqrt{3}$

$A=374.1$ in²

The area of the regular polygon is 374.1 in².

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4 years ago

The table below describes a sequence of transformations that justify that two figures are similar. Which sentence below shows th

yuradex [85]

Answer:

dilation

Step-by-step explanation:

whenever the shape is dilated, or scaled by a factor of any number, the shape will change size and will become similar rather than congruent. congruent shapes have the same dimensions as the parent or original shape.

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3 years ago

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During a four-week period, you worked the following hours: Week 1- 363 /8 hr; Week 2- 411 /4 hr; Week 3- 401 /2 hr; Week 4- 383

Dafna11 [192]

The average number of hours can be calculated using the following rule:
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total number of hours = 36 3/8 + 41 1/4 + 40 1/2 + 38 3/8 = 313/2 hours
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Average number of hours per week = (313/2) / (4) = 39 1/8 hour

Based on the above calculations, the correct answer is:
C. 39 1/8 hour

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3 years ago

a molecule is measured and the width is 3x10-6 cm. how long will a string of 225 similar molecule be? give your answer in scient

mixer [17]

The length of the molecule is $6.75*10^-^4cm$ in scientific notation.

Data;

Width of molecule = 3*10^-6 cm
Number of molecules = 225

<h3>Length of the molecule</h3>

This can be calculated as the total length of the 225 molecules added together. To do this, we simply multiply both the numbers of the molecules by the width of the molecule.

This becomes;

$3*10^-^6*225 = 0.000675cm = 6.75*10^-^4cm$

The length of the molecule is $6.75*10^-^4cm$ in scientific notation.

Learn more on scientific notation here;

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