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Anna007 [38]
2 years ago
9

Manuel wants to build a model of Captain America's famous shield out of cardboard. The outer ring of the shield is colored red.

The next ring is white. The third ring is also red. The center is blue with a white star. The radius of the whole shield is 14 inches. However, Manuel just wants to know the area of the space he needs to paint red. Use 3.14 for Pi. Round to the nearest hundredth
Mathematics
1 answer:
zmey [24]2 years ago
7 0

Answer:

615.44 in²

Step-by-step explanation:

The shape of Captain America's shield = Circular

The area of a circle = πr²

The radius of the whole shield = 14 inches.

The first ring = Red ring

Hence, the area of the red ring =

π = 3.14

3.14 × 14²

= 615.44 in²

The area of the space he needs to paint red is 615.44 in²

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OverLord2011 [107]

Answer

Find out the conversion factor for seconds to minutes and convert  135 seconds to minutes.

To prove

1 minute = 60 second

for seconds to minutes.

1 second = \frac{1}{60}\ minutes

Therefore the conversion factor for seconds to minutes be

= \frac{1}{60}\ minutes

Now convert  135 seconds to minutes.

= \frac{135\times 1}{60}

= 2.25 minutes

Hence proved

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First you want to simplify the equation using cross-multiplication.

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Finally, you would want to divide both sides by 15.

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D)

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First we have to subtract 5 from both sides

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3 years ago
A clothing store has a going-out-of business sale. They are selling pants for $8.99 and shirts for $3.99. You can spend as much
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Answer:

Let x represents the number of pants and y represents the number of shirts.

As per the statement:

Since, a clothing store are selling pants for $8.99 and shirts for $3.99

then;

total number of Pants cost is, $8.99x and total number of Shirt cost is, $3.99

Also, it is given that: You can spend as much as $60 and want to buy at least two pairs of pants.

then, we have the equation of inequality;

8.99x + 3.99y \leq 60 ;......[1]         where x, y are natural number.

x-intercept:

Substitute the value y= 0  in [1] and solve for x;

8.99x + 3.99(0) \leq 60

8.99x \leq 60

Simplify:

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x \leq 7

Similarly.

For y-intercept:

Substitute the value x= 0  in [1] and solve for x;

8.99(0) + 3.99y \leq 60

3.99y \leq 60

Simplify:

y \leq 15.037

y \leq 15

Therefore, we have

8.99x + 3.99y \leq 60 ;

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