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IrinaK [193]
3 years ago
15

I don't understand this one.

Mathematics
1 answer:
Artemon [7]3 years ago
7 0

Answer:

C.  27 feet to the nearest foot.

Step-by-step explanation:

In a 45-45-90 triangle the 2 legs ( the base and the height)  are equal in length.

So the area = 1/2 * base * height

= 1/2 h^2 = 32

h^2 = 32 / 1/2 = 64

h = 8 feet.

That is both legs are 8 feet long.

So the amount of fencing needed = the perimeter

=  2*8 + H    where H is the hypotenuse.

As it is a 45-45-90 triangle H = √ * 8 = 11.3 feet.

The perimeter = 16 + 11.3

= 27 feet to the nearest foot.

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Two bowlers bowl the following number of strikes in 9 games
ehidna [41]
First, let's calculate the mean and the mean absolute deviation of the first bowler.

FIRST BOWLER: <span>8,5,5,6,8,7,4,7,6
Mean = (Sum of all data)/(Number of data points) = (8+5+5+6+8+7+4+7+6)/9
<em>Mean = 6.222</em>
Mean absolute deviation or MAD = [</span>∑(|Data Point - Mean|]/Number of Data Points
MAD = [|8 - 6.222| + |5 - 6.222| + |5 - 6.222| + |6 - 6.222| + |8 - 6.222| + |7 - 6.222| + |4 - 6.222| + |7 - 6.222| + |6 - 6.222|]/9
<em>MAD = 1.136</em>

SECOND BOWLER: <span>10,6,8,8,5,5,6,8,9
</span>Mean = (Sum of all data)/(Number of data points) = (<span>10+6+8+8+5+5+6+8+9</span>)/9
<em>Mean = 7.222</em>
Mean absolute deviation or MAD = [∑(|Data Point - Mean|]/Number of Data Points
MAD = [|10 - 7.222| + |6 - 7.222| + |8 - 7.222| + |8 - 7.222| + |5 - 7.222| + |5 - 7.222| + |6 - 7.222| + |8 - 7.222| + |9 - 7.222|]/9
<em>MAD = 1.531
</em>

The mean absolute deviation represents the average distance of each data to the mean. Thus, the lesser the value of the MAD is, the more consistent is the data to the mean. <em>B</em><em>etween the two, the first bowler is more consistent.</em>

8 0
3 years ago
If you buy tomato sauce for $.90 a quart how much does it cost for 5 pints
Dima020 [189]
<h2>Hello!</h2>

The answer is: the price of 5 pints of tomato sauce is $2.25.

<h2>Why?</h2>

To calculate how much does it cost 5 pints, we need to perform a unit conversion with the following  unit relationship:

0.5Quart=Pints

Now, calculating how much is a pint:

\frac{0.9}{quarter}*\frac{0.5Quart}{1Pint}=0.45

A pint is $0.45.

Then, calculating how much are 5 pints:

Price=0.45*NoOfPints=0.45*5=2.25

Hence, the price of 5 pints of tomato sauce is $2.25.

Have a nice day!

8 0
3 years ago
A number b divided by -3 is greater than or equal to 6
enot [183]

Answer:

\frac{b}{-3}\geq 6\\\\ b\leq 6.(-3)=-18\\\\ b\leq -18

Step-by-step explanation:

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2 years ago
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