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emmasim [6.3K]
3 years ago
14

You need to buy some pencils and an eraser. You can spend no more than $5. The eraser cost $1 and the pencil cost $0.25 each. Wr

ite an inequality to represent the situation
Mathematics
1 answer:
vekshin13 years ago
6 0
5≤1e+ .25p 
E represents erasers and p pencils

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The diameter of the moon is approximately one fourth of the diameter of the earth.
netineya [11]

Answer:

Step-by-step explanation:

Area of a sphere is 4\pi d^{2}

let d be the diameter of the moon and D be the diameter of the earth

d = 1/4 D

Area of Earth = 4\pi D^{2} = 4\pi (\frac{d}{4} )^{2} = 4\pi \frac{d^{2} }{16} = \pi \frac{d^{2} }{4}

Area of moon = 4\pi d^{2}

\frac{Area of moon}{Area of Earth} = \frac{1}{16}

4 0
2 years ago
Question 4.
Ludmilka [50]

Answer:

  9.80 m

Step-by-step explanation:

The mnemonic SOH CAH TOA is intended to remind you of the relationship between sides of a right triangle and its angles.

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<h3>setup</h3>

The geometry of this problem can be modeled by a right triangle, so these relations apply. We are given an angle and adjacent side, and asked for the opposite side, so the relation of interest is ...

  Tan = Opposite/Adjacent

Using the given values, we have ...

  tan(24°) = AC/AB = (tree height)/(distance from tree)

  tan(24°) = AC/(22 m)

<h3>solution</h3>

Multiplying by 22 m gives ...

  tree height = AC = (22 m)·tan(24°) ≈ 9.79503 m

The height of the tree is about 9.80 meters.

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2 years ago
Which number line represents the solution set for the inequality 3(8-4x)&lt;5(x-5)
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3(8-4x) < 5(x-5)

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The figure below shows parallel lines cut by a transversal:
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0.333 as a fraction in simplest form
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1/3 is the simplest form
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