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3 years ago

Andy is 6 feet tall. if 1 inch equals 2.54 centimeters, how long is Andy, to the nearest centimeter

Mathematics

1 answer:

Sedbober [7]3 years ago

5 0

Transition to inches
6 ft = 6*12 = 72 in.

Transition to centimeters
72 in = 72 * 2.54 = 182.88 cm

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Step-by-step explanation:

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This is the model that best fits the graph describing a growth of a plant

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Determine the measure of each segment then indicate whether the statements are true or false

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Answer:

$d_{AB}\ne d_{JK}$

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$d_{GH}\ne \:d_{JK}$

Therefore,

Option (A) is false

Option (B) is false

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Step-by-step explanation:

Considering the graph

Given the vertices of the segment AB

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B(2, 5)

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$d_{AB}\:=\:\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$

$=\sqrt{\left(2-\left(-4\right)\right)^2+\left(5-4\right)^2}$

$=\sqrt{\left(2+4\right)^2+\left(5-4\right)^2}$

$=\sqrt{6^2+1}$

$=\sqrt{36+1}$

$=\sqrt{37}$

$d_{AB}\:=\sqrt{37}$

$d_{AB}=6.08$ units

Given the vertices of the segment JK

J(2, 2)

K(7, 2)

From the graph, it is clear that the length of JK = 5 units

$d_{JK}=5$ units

Given the vertices of the segment GH

G(-5, -2)

H(-2, -2)

Finding the length of GH using the formula

$d_{GH}\:=\:\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$

$=\sqrt{\left(-2-\left(-5\right)\right)^2+\left(-2-\left(-2\right)\right)^2}$

$=\sqrt{\left(5-2\right)^2+\left(2-2\right)^2}$

$=\sqrt{3^2+0}$

$=\sqrt{3^2}$

$\mathrm{Apply\:radical\:rule\:}\sqrt[n]{a^n}=a,\:\quad \mathrm{\:assuming\:}a\ge 0$

$d_{GH}\:=\:3$ units

Thus, from the calculations, it is clear that:

$d_{AB}=6.08$

$d_{JK}=5$

$d_{GH}\:=\:3$

Thus,

$d_{AB}\ne d_{JK}$

$d_{AB}\ne \:d_{GH}$

$d_{GH}\ne \:d_{JK}$

Therefore,

Option (A) is false

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