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2 years ago

How many square decimeters are in 687.1 cm²?

Mathematics

2 answers:

Romashka-Z-Leto [24]2 years ago

8 0

Answer:

6.871

Step-by-step explanation:

calculator

Alexus [3.1K]2 years ago

7 0

Answer:

6.871 decimeters

Step-by-step explanation:

687.1 square centimeters = 6.871 square decimeters

1 dm² = 100 cm²

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Timothy built a base for a circular tabletop. The base can support a tabletop with a radius of at least 6 inches, but not more t

lilavasa [31]

Answer:

The smallest possible are of the tabletop is 113 in²

The largest possible area of the tabletop is 1,662 in²

Explanation:

1) What is the smallest possible area of the tabletop that will fit on Timothy’s table base?

The statement that the base can support a tabletop with a radius of at least 6 inches means that the radius has to be 6 inches or more, i.e. the smallest possible radius is 6 inches.

a) Area of a circle: A = π r²

The smallest area is given by the smallest radius, which we have just stated that is 6 in.

b) Calculations:

With that A = π (6 in)² = 36π in² ≈ 113.10 in².

Round the answer to the nearest whole square inch: 113 in²

2) What is the largest possible area of the tabletop that will fit on Timothy’s table base?

The statement that the base can support a tabletop with a radius no more than 23 inches means that the radius has to be 23 inches or less, i.e. the largest possible radius is 23 inches.

a) Area of a circle: A = π r²

The largest area is given by the largest radius, which we have just stated that is 23 in.

b) Calculations:

With that A = π (23 in)² = 529 π in² ≈ 1,661.9 in².

Round the answer to the nearest whole square inch: 1,662 in².

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4 years ago

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ddd [48]

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3 years ago

You sight the top of a 50-ft tree from a point on the ground 50 ft from the base of the tree. What is the angle of elevation?

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Answer:

Step-by-step explanation:

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3 years ago

A pen costs twice as much as a pencil. The total cost of 1 1 pen and 1 1 pencil is $2.10 $2.10 . If p p represents the cost of 1

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Answer:

Step-by-step explanation:

You didn't list any choices here, but it doesn't matter. There's only one way to get to the answer so we'll work it through and you can match it up to your choices. The only thing I don't know is how pens is identified if pencils is "p". So I'm going to use the words "pens" and "pencils" and you can take it from there at the end.

If a pen's cost IS twice as much as a pencil...

the word "is" indicates an equals sign, the words "twice as much" indicates 2 multiplied by something. To put that above sentence into an algebraic expression:

pen = 2 pencils

Now for the money part of this.

The total cost of 11 pens and 11 pencils IS (there's that word again!) 2.10

Therefore,

11 pens + 11 pencils = 2.10

But we know from the first expression that pen = 2 pencils so we make the substitution:

11(2 pencils) + 11 pencils = 2.10

I'm not sure how far you are to go with this. That's the main equation you need to solve this. If you were to go further with it you would distribute the 11 into the set of parenthesis to get:

22 pencils + 11 pencils = 2.10 and combine like terms:

33 pencils = 2.10 so

1 pencil is approximately $.06

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3 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

How many square decimeters are in 687.1 cm²?​

How many square decimeters are in 687.1 cm²?