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Afina-wow [57]
3 years ago
6

The vale of 5^3 is 216 64 15 125

Mathematics
1 answer:
damaskus [11]3 years ago
8 0

5^3 = 5 * 5 * 5


5 * 5 = 25


25 * 5 = 125


5^3 = 125


Hope l helped!!


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Expand and simplify 6(2x - 3) – 2(2x + 1)
Charra [1.4K]

Answer 8x - 20

Step-by-step explanation:

6(2x - 3) - 2(2x + 1)

Distribute

6(2x) -6( 3) - 2(2x) -2( 1)

12x -18 -4x -2

Combine like terms

12x -4x    -18 -2

8x-20

3 0
3 years ago
I have a right triangle. The hypotenuse is 12. The base is 7 and the other side is 9.7. The sin(x) is 0.014. Cos(x) is 0.99 and
Zanzabum

Answer:

\sin(x)=\frac{\sqrt{95}}{12}=0.8122

\cos(x)=\frac{7}{12} \approx .5833  

\tan(x)=\frac{\sqrt{95}}{7} \approx 1.3924  

x=\sin^{-1}(\frac{\sqrt{95}}{12}) \approx 54.3147 degrees.

I don't know what you want to round to but I can tell you are rounding...

Step-by-step explanation:

Soh Cah Toa is the acronym we will use to help us solve this.

This says sine is opposite over hypotenuse.

It also says cosine is adjacent over hypotenuse.

And finally tangent is opposite over adjacent.

Note:  Opposite and adjacent can change depending on how you are looking at the triangle, like which angle you are referring to.

Let's look at x:

The side that is opposite, not touching, the angle whose measurement is x, is the side that has measurement \sqrt{95} \approx 9.7.

I see you already found this measurement. This is really good.  I might use the exact value for now and round at the end.

The side that is the hypotenuse no matter the angle you are referencing is always going to be opposite the angle whose measurement is 90 degrees. It is also the longest side (since it is opposite the largest angle).  This side has measurement 12.

The hypotenuse will be one of the sides touching your angle you are referencing.  The other side that is touching your angle is the adjacent side.  This side has measurement 7.

Anyways let's plug into the definitions we had above:

\sin(x)=\frac{\sqrt{95}}{12}  (O/H)

\cos(x)=\frac{7}{12}   (A/H)

\tan(x)=\frac{\sqrt{95}}{7}   (O/A)

Now we can solve anyone of these for x.

Take your pick.

\sin(x)=\frac{\sqrt{95}}{12}

x=\sin^{-1}(\frac{\sqrt{95}}{12})

x=54.3147 degrees.  

6 0
3 years ago
Vince went on a 3 day hiking trip, he walked 3/4 the distance that he walked the day before. He walked 83.25 kilometers total in
-Dominant- [34]

Answer:

Vince walked 36 km on the 1st day of the trip.

Step-by-step explanation:

  • Vince went on a 3-day hike trip.
  • It is stated that Vince walks 3/4 of the distance that he walks the day before.
  • His total traveled distance = 83.25

  • Let 'x' be the distance traveled on the first day.

As he walks 3/4 of the distance that he walks the day before.

  • so the second-day traveling distance = 3/4x
  • And the third-day traveling distance = 3/4 × 3/4x

                                                                     = 9/16x

Given his total traveled distance = 83.25

Therefore, the equation becomes

x\:+\:\frac{3}{4}x\:+\:\frac{9}{16}x\:\:=\:83.25

Multiply both sides the 16 (L.C.M)

x\cdot \:16+\frac{3}{4}x\cdot \:16+\frac{9}{16}x\cdot \:16=83.25\cdot \:16

simplify

16x+12x+9x=1332

37x=1332

Divide both sides by 37

\frac{37x}{37}=\frac{1332}{37}

x=36 km

Therefore, Vince walked 36 km on the 1st day of the trip.

8 0
3 years ago
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nalin [4]

Answer:

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Step-by-step explanation:

The equation has one solution.

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3 years ago
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Answer:

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