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4 years ago

There were 317 marbles divided equally among 8 bowls. About how many marbles were in each bowl?

1 answer:

8 0

317/8
=39.625
It is impossible to divide 317 equally into 8 bowls
The fairest way to distribute the marbles would be to have 39 in three bowls and 40 in the five other bowls.

Hope this helps!

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To estimate the height of a house Katie stood a certain distance from the house and determined that the angle of elevation to th

Nata [24]

the height of the house is $408ft$ .

<u>Step-by-step explanation:</u>

Here we have , To estimate the height of a house Katie stood a certain distance from the house and determined that the angle of elevation to the top of the house was 32 degrees. Katie then moved 200 feet closer to the house along a level street and determined the angle of elevation was 42 degrees. We need to find What is the height of the house . Let's find out:

Let y is the unknown height of the house, and x is the unknown number of feet she is standing from the house.

Distance of house from point A( initial point ) = x ft

Distance of house from point B( when she traveled 200 ft towards street = x-200 ft

Now , According to question these scenarios are of right angle triangle as

At point A

⇒ $Tan32 =\frac{Perpendicular}{Base}= \frac{y}{x}$

⇒ $Tan32 = \frac{y}{x}$

⇒ $y=x(Tan32 )$ ..................(1)

Also , At point B

⇒ $Tan42 = \frac{y}{x-200}$

⇒ $y=(x-200)(Tan42)$ ..............(2)

Equating both equations:

⇒ $(x-200)(Tan42) = x(Tan32)$

⇒ $x(Tan42-Tan32)=Tan42(200)$

⇒ $x=\frac{Tan42(200)}{(Tan42-Tan32)}$

⇒ $x=653ft$

Putting $x=653ft$ in $y=x(Tan32 )$ we get:

⇒ $y=x(Tan32 )$

⇒ $y=653(Tan32 )$

⇒ $y=408ft$

Therefore , the height of the house is $408ft$ .

4 0

3 years ago

There is a bag filled with 5 blue and 6 red marbles.

Sidana [21]

Answer:

6/11

Step-by-step explanation:

probability

6+5=11

so 6/11

6 0

3 years ago

Read 2 more answers

a number has a 4 in the thousands place the number also has a digit whose value is 10 times the value of the 4 on the thousands

maks197457 [2]

Well I can still answer that question without the following and it will be 44,000

3 0

3 years ago

How many inches of square paper did Benjamin use to wrap the box?

Dominik [7]

Two times the length of the longest edge.

5 0

3 years ago

Sofia, who lives in chicago, knits and sells alpaca-wool scarves. she spends 15 hours knitting one scarf. maria, who also knits,

erma4kov [3.2K]

A producer is said to have an absolute advantage over another producer when he required less amount of input to produce the same good compared to the other producer.

While a producer is said to have a comparative advantage over another producer when he produces his goods at a lesser opportunity cost compared to the other produer.

Here, time is one of the inputs used in production and Maria produces a scarf at a lesser time compared to Sofia. Thus, Maria has an absolute advantage over Maria in the production of scarves.

Therefore, the true statement is "<span>Maria has an absolute advantage over Sofia".</span>

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3 years ago