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Nesterboy [21]
3 years ago
9

A table is in the shape of a regular pentagon with a side length of 3 feet and an

Mathematics
1 answer:
ehidna [41]3 years ago
8 0

Answer:

15.5 ft²

Step-by-step explanation:

The area (A)  of a regular polygon is calculated as

A = \frac{1}{2} pa ( p is the perimeter and a the apothem )

Here side of regular pentagon is 3 ft, thus

perimeter = 5 × 3 = 15, so

A = 0.5 × 15 × 2.06 ≈ 15.5 ft ( to the nearest tenth )

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Twice as many men as women attended the concert. If the total attendance was 714, how many women
mixas84 [53]

Answer:

Step-by-step explanation:

This is actually pretty simple. If x= a person, then 2x is men, and x is women.

You just have to solve for x.

714=2x+x

714=3x

x=238

Then you have to multiply it back out.

Men: 476

Women: 238

I hope this helps!

If you need help with anything else, or this answer just doesn't make sense, just let me know!

6 0
2 years ago
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Nastasia [14]
The answer is c
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2 years ago
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The figure below shows concentric circles, both centered at 0.0
Rama09 [41]

Answer:

  C.  18 cm

Step-by-step explanation:

The ratio of the sides of the triangle shown is 12 : 15 = 4 : 5. We know it is a right triangle, so we know the missing side length completes the ratio

  3 : 4 : 5 = 9 : 12 : 15

Half of XY is 9 cm, so the length of the entire chord is 18 cm.

_____

The chord is tangent to the inner circle, so makes a 90° angle with the radius to that tangent point. This tells you that the triangle shown is a right triangle. It also tells you that the short radius bisects the chord. The Pythagorean theorem can be used to find the length of the side not shown (half the chord length).

The unknown side (a) can be found from  ...

  15² = 12² +a²

  225 -144 = a² . . . . . . subtract 12²

  81 = a² . . . . . . . . . . .  simplify

  9 = a . . . . . . . . . . . . . take the square root

The chord length is 2a, so is ...

  2(9 cm) = 18 cm . . . . length of chord XY

7 0
3 years ago
(9×100)+(8×10)+(7× <br> 1000<br> 1<br> ​<br> )
ivolga24 [154]

Answer:

7980

Step-by-step explanation:

900+80+7000=7980

8 0
1 year ago
Translate into an algebraic expressions: 120 is increased by d% and increased by 25% . What is the result ?
anastassius [24]

Answer:

The result is 150 + 1.5d

Step-by-step explanation:

We want to translate the wordings into algebraic expression.

Firstly, we increase 120 by d%

d% = d/100

So increasing 120 by d % means;

120 + (d/100 * 120)

= 120 + 1.2d

Then increase this by 25%

= (120 + 1.2d) + 25/100(120 + 1.2d)

= 120 + 1.2d + (120+1.2d)/4

= 120 + 1.2d + 30 + 0.3d

= 120 + 30 + 1.2d + 0.3d

= 150 + 1.5d

3 0
3 years ago
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