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olchik [2.2K]
3 years ago
15

Write 3 and 3/4 as a decimal. Is it repeating or terminating?

Mathematics
2 answers:
luda_lava [24]3 years ago
7 0

Answer:

3.75, Terminating

Step-by-step explanation:

To answer this, we simply have to find what 3/4 is as a decimal. So, we know that in order to make 4/4, or 1, we need 4 parts. Let's say that 4/4 would equal 100, so we need to divide 100 into 4 parts:

100 / 4 = 25

Now, to find what 3/4 is, all we have to do is multiply 25 by 3:

25 * 3 = 75

And that is our decimal form, we just need to add the 3:

3.75, and since .75 doesn't keep on repeating, it just stops at .75, this is a terminating decimal

Hope this helps! :)

Airida [17]3 years ago
3 0
3.75! and terminating
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Answer:

1/6

Step-by-step explanation:

There are 6 sides on a dice. Every time you roll you you will have one of those sides. So it is a 1 in 6 chance of you getting 4, meaning that the answer to this problem is 1/6

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In ∆MNP, m∠N = 90º, NH – altitude, m∠P = 21º, PM = 4 cm. Find MH.
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Answer:

0.51 cm

Step-by-step explanation:

In right triangle MNP, MP = 4 cm, m∠N = 90°, m∠P = 21°

By the sine definition,

\sin \angle P=\dfrac{\text{Opposite leg}}{\text{Hypotenuse}}=\dfrac{MN}{MP}\\ \\MN=MP\sin \angle P\\ \\MN=4\sin 21^{\circ}\approx 1.43\ cm

Now, consider right triangle HMN (it is right because NH is an altitude). By the cosine definition,

\cos \angle M=\dfrac{\text{Adjacent leg}}{\text{Hypotenuse}}=\dfrac{MH}{MN}\\ \\MH=MN\cos \angle M

In the right triangle, two acute angles are always complementary, so

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Thus,

MH=1.43\cos 69^{\circ}\approx 0.51\ cm

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3 years ago
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