Explain how to determine the smaller of 0.24 and 0.3 using the number line.

1 answer:

3 0

0.24 is smaller than 0.3 because as you approach zero from the right, there's less distance from 0.24 to 0 than 0.3. Think of this in terms of limits.

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Find the missing side length of the right triangle. show work.

motikmotik

Answer:

6.32

Step-by-step explanation:

To find the side length on a right angled triangle we follow The Pythagorean Theorem:

${a}^{2} + {b}^{2} = {c}^{2}$

c being the hypothesis (longest side: the hypotenuse is always opposite the right angle)

so..

${6}^{2} + {2}^{2} = {x}^{2} \\ 36 + 4 = {x}^{2} \\ 40 = {x}^{2} \\ \sqrt{40} = \sqrt{ {x}^{2} } \\$

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On a graph, which characteristic shape is shown by exponential growth?

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An architect is sketching a blueprint of a patio for a new fence. On the blueprint, C is the midpoint of segment AD. Point B is

Gre4nikov [31]

Answer:

The length of AD is 32 feet

Step-by-step explanation:

Proportional distances

When distances are proportions of others, we can express all of them as relative fractions until we reach some known distance and solve for the desired length

Let's call x the length of AD. Given C is the midpoint of AD, then

$\displaystyle AC=CD=\frac{x}{2}$