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3 years ago

A square game board is divided into smaller squares, each with sides one-third the length of the sides of the board.

Mathematics

1 answer:

BaLLatris [955]3 years ago

6 0

It is divided into 3 squares

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Sanjay and Felipe are putting together a 500-piece puzzle. Sanjay could do the entire puzzle by himself in 6 hours, while it wou

Nata [24]

What is the time it takes Sanjay to complete the puzzle? 6 hours

What is the time it takes Felipe to complete the puzzle? 8 hours

We can use the general formula of rate and time to solve this problem. Generally we have,

Rate * Time = Work/Job

** where Work/Job for this problem is 1 since they are doing 1 work, which is solving a puzzle

Finding rate of Sanjay:

$R(6)=1\\R=\frac{1}{6}$

Finding rate of Felipe:

$R(8)=1\\R=\frac{1}{8}$

Working together, their rate is the sum,

Total Rate = $\frac{1}{6} + \frac{1}{8} = \frac{7}{24}$ .

Using the general formula again, we can find the time it will take to solve the puzzle when both works together.

$(\frac{7}{24})T=1\\ T=\frac{1}{\frac{7}{24}}= \frac{24}{7} = 3.43$ hours

Rounding the answer, we have 3.4 hours.

ANSWER: 3.4 hours

6 0

3 years ago

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What is the surface area of the triangular prism?

eduard

Answer:

The answer is the third

The surface area of prism = 81 ft²

Step-by-step explanation:

∵ The triangular prism has 5 faces

- Two triangles ⇒ bases

- 3 rectangles ⇒ side faces

* to find the surface area of it, we will find the area of

each face and add them together

- Area of bases:

∵ The bases are right angle triangles with base 6 ft and height 4.5 ft

∵ Area triangle = 1/2 × base × height

∴ Area one base = 1/2 × 6 × 4.5 = 13.5 ft²

∴ Area two bases = 13.5 × 2 = 27 ft² ⇒ (1)

- Area of the first rectangle with dimensions 3 ft and 6 ft

∵ Area rectangle = L × W

∴ Area 1st rectangle = 3 × 6 = 18 ft² ⇒ (2)

- Area of the second rectangle with dimensions 3 ft and 7.5 ft

∴ Area 2nd rectangle = 3 × 7.5 = 22.5 ft² ⇒ (3)

- Area of the third rectangle with dimensions 3 ft and 4.5 ft

∴ Area 3rd rectangle = 3 × 4.5 = 13.5 ft² ⇒ (4)

Add (1) , (2) , (3) and (4)

∴ The surface area of prism = 27 + 18 + 22.5 + 13.5 = 81 ft²

8 0

3 years ago

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Can someone give me answers?

Alenkasestr [34]

Answer:

Maybe if you give a better quality photo that isn't sideways! :D

Step-by-step explanation:

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3 years ago

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Round this number 9,372,282 to the nearest 1,000

11Alexandr11 [23.1K]

9,372,000. the two in the hundreds place tells you to round down.

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3 years ago

Hi, i need help with these questions!

MA_775_DIABLO [31]

I hope this helps you

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3 years ago