All categories

3 years ago

How many degrees are x and y?

Mathematics

2 answers:

klemol [59]3 years ago

6 0

Y is 68 degrees because it is the same thing as the thing on the left. So x is 112 because a straight line/semi-circle equals 180. Since the x+y equals a semi-circle (180 degrees) you have to do 180 - 68 equals 112.

torisob [31]3 years ago

4 0

Y = 68°
Corresponding angles between parallel lines are equal

x and y form a linear pair.
x + y = 180°
68 + x= 180
x= 112°

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10 - 37 9.5-37.5 23.5 7 0.096 7

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The histogram is in attached file.

Step-by-step explanation:

The width of class interval=range/desired number of classes

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The width of class interval=190/7

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Part(b) and part (c) is explained in attached word document.

Download docx

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Let N be the number of bottles filled,

Let T be the time in hours.

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$\begin{gathered} N\text{ = 9900} \\ T\text{ = 5.5} \\ \text{thus,} \\ k\text{ = }\frac{9900}{5.5} \\ \Rightarrow k\text{ = 1800} \end{gathered}$

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$\begin{gathered} N\text{ = }11160 \\ T\text{ = }6.2 \\ \text{thus,} \\ k\text{ = }\frac{11160}{6.2} \\ \Rightarrow k\text{ = 1800} \end{gathered}$

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$\begin{gathered} N\text{ = }12330 \\ T\text{ = }6.25 \\ \text{thus,} \\ k\text{ = }\frac{12330}{6.25} \\ \Rightarrow k\text{ = 1972.8} \end{gathered}$

Thursday:

$\begin{gathered} N\text{ = }10440 \\ T\text{ = }5.80 \\ \text{thus,} \\ k\text{ = }\frac{10440}{5.8} \\ \Rightarrow k=1800 \end{gathered}$

It is observed that all exept wednesday have the same value of k.

Thus, the amount of time required for the number of bottles filled on wednesday is evaluated as

$\begin{gathered} N\text{ = }12330 \\ k\text{ = 1800} \\ T\text{ = ?} \\ \text{but} \\ k\text{ = }\frac{N}{T} \\ 1800\text{ = }\frac{12330}{T} \\ \Rightarrow T\text{ = }\frac{\text{12330}}{1800} \\ T\text{ = 6.85} \end{gathered}$

Hence, the incorrect day is Wednesday. The amount of time for that many bottles should be 6.85 hours.

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1 year ago