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Bumek [7]
3 years ago
6

Find the area of the trapezoid with a base of 19 inches, height 12.6 inches and base 29.2 inches

Mathematics
2 answers:
murzikaleks [220]3 years ago
7 0
303.66

Hope this helps
aksik [14]3 years ago
3 0
Minor base: b=19 inches
Height: h=12.6 inches
Major base: B=29.2 inches

Area of the trapezoid: A
A=(b+B)h/2
Replacing the values:
A=(19 inches + 29.2 inches) (12.6 inches) / 2
A=(48.2 inches) (12.6 inches) / 2
A= (607.32 inches^2 ) /2
A= 303.66 inches^2

Answer: The area of the trapezoid is 303.66 square inches
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A machine at a bottling company fills water bottles. the number of bottles filled is proportional to the amount of time the mach
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In the table shown below:

Let N be the number of bottles filled,

Let T be the time in hours.

Given that the number of bottles filled is proportional to the amount of time the machine runs, we have

\begin{gathered} N\propto T \\ \text{Introducing a proportionality constant, we have } \\ N\text{ = kT} \\ \Rightarrow k\text{ = }\frac{N}{T} \\  \end{gathered}

Let's evaluate the value of k for each day.

Thus, on monday,

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

Tuesday:

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

Wednesday:

\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.

3 0
1 year ago
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Naddika [18.5K]

Answer: c

Step-by-step explanation:

3 0
3 years ago
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Tcecarenko [31]

Answer:

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Step-by-step explanation:

6 0
2 years ago
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yuradex [85]

Answer:

B (1 , 3) , D (1 , -2)

Step-by-step explanation:

∵ A (-3 , 3) , C (-3 , -2)

∵ They have the same x-coordinate

∴ AC is a vertical segment its length = 3 - -2 = 5

∵ The area of the rectangle = 20

∴ The width of it = 20 ÷ 5 = 4

∴ x-coordinate of B: -3 + 4 = 1

∴ y-coordinate of B : 3 ⇒ AB horizontal segment

∴ B (1 , 3)

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∵ y-coordinate = 3 - 5 = -2

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