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rjkz [21]
2 years ago
14

Able is carving a rectangular pyramid clock out of green quartz. The length of the rectangle base is 14 cm and the height of the

clock is 9cm. If the clock needs to have a volume of 168cm3 what is the width of the base
Mathematics
1 answer:
andrezito [222]2 years ago
7 0

Answer:

14cm

Step-by-step explanation:

Volume of the pyramid = Base area × height/3

V = BH/3

Base area = 14×width

Height= 9cm

Volume = 168cm³

Substitute into the formula

168 = 4w×9/3

36w = 168×3

36w = 504

w = 14cm

Hence the width of the pyramid is 14cm

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The data show the average monthly temperatures for two cities over a 6-month period. City 1: {20, 24, 40, 63, 76, 89} City 2: {4
Mrac [35]

Answer:

The MAD of city 2 is <u>less than</u> the MAD for city 1, which means the average monthly temperature of city 2 vary <u>less than</u> the average monthly temperatures for City 1.

Step-by-step explanation:

For comparing the mean absolute deviations of both data sets we have to calculate the mean absolute deviation for both data sets first,

So for city 1:

Mean = x1 = \frac{20+24+40+63+76+89}{6}

x1 = \frac{312}{6}

x1 = 52

Now to calculate the mean deviations mean will be subtracted from each data value. (Note: The minus sign is ignored as the deviation is the distance of value from the mean and it cannot be negative. For this purpose absolute is used)

20-52 = -32=32\\24-52=-28=28\\40-52=-12=12\\63-52=11\\76-52=24\\89-52=37

The deviations will be added then.Mean Absolute Deviation = \frac{32+28+12+11+24+37}{6} \\=\frac{144}{6}\\=24

So the mean absolute deviation for city 1 is 24 ..

For city 2:

Mean = x2 = \frac{41+50+58+62+72+83}{6}

x2 = \frac{366}{6}

x2 = 61

Now to calculate the mean deviations mean will be subtracted from each data value. (Note: The minus sign is ignored)

41-61=-20=20\\50-61=-11=11\\58-61=-3=3\\62-61=1\\72-61=11\\83-61=22

The deviations will be added then.Mean Absolute Deviation = \frac{20+11+3+1+11+22}{6} \\=\frac{68}{6}\\=11.33

So the MAD for city 2 is 11.33 ..

So,

The MAD of city 2 is <u>less than</u> the MAD for city 1, which means the average monthly temperature of city 2 vary <u>less than</u> the average monthly temperatures for City 1.

3 0
3 years ago
Read 2 more answers
I don't understand what the "!"s mean. Help please
kakasveta [241]

n! is called a factorial.


It would look something like this: n! = 1·2·3·...·n


An example:

5! = 1·2·3·4·5 = 120

6 0
3 years ago
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A nurse gave an 8 year old child a dose of 6 mL of medicine. What would be the adult equivalent of this dosage
aleksley [76]
Ok read first heheheh where
3 0
2 years ago
Can somebody answer this for me plz its my homework.​
timofeeve [1]

Answer:

The rule for a reflection over the y -axis is (x,y)→(−x,y) .

The rule for a reflection over the x -axis is (x,y)→(x,−y) .

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6 0
3 years ago
Simplify. 4 × (8 + 5) + 9 45 46 61 62
Darya [45]

Answer:

61

Step-by-step explanation:

4 × (8 + 5) + 9

Parentheses first

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Then multiply

52 +9

Then add

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7 0
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