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2 years ago

Which statement describes the decimal equivalent of 114?

Mathematics

2 answers:

lana [24]2 years ago

8 0

Answer:

C. The decimal terminates after 2 decimal places.

Step-by-step explanation:

If we move twice to the right, we will see that it will now see 1.14. I will send you a picture.

hope this helps.

oksano4ka [1.4K]2 years ago

3 0

Answer:

I think ur answer is c. The decimal terminates after 2 decimal places.

Step-by-step explanation:

hope this helps!

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What is the common difference of the sequence -31, -23, -15?

zysi [14]

The common difference is essentially what u need to add to one number in the sequence to get the next

So previous number + common difference = next number after that

The common difference would be -8

5 0

3 years ago

Find the distance between points S(6,−3)

Gelneren [198K]

Answer:

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4 0

3 years ago

a pyramid whose altitude is 5ft weighs 800lbs. at what distance from its vertex must it be cut by a plane parallel to its base s

slavikrds [6]

A structure which has a square base and four triangular sides meeting at a point is called pyramid.

At distance of 3.97 feet from its vertex , pyramid is cut by plane so that the two solids of equal weight will be formed.

It is assumed that weight of pyramid is proportional to its volume.

So, $w = k V$ , where V is volume of original pyramid and v is volume of small pyramid and k is constant.

Let us consider that at h distance, pyramid is cut from its vertex. So a small pyramid is also formed.

Assume that base area of original pyramid is A and base of small pyramid is a.

Volume of original pyramid is, $V= \frac{1}{3} *A* 5$

So, weight of original pyramid, $W = k *(\frac{1}{3} *A* 5) = 800$

Volume of small pyramid is, $v = \frac{1}{3}* a* h$

So, weight of small pyramid, $w = k*(\frac{1}{3}* a* h)=400$

Since, base and height of small pyramid and original pyramid are in proportion.

So, $\frac{a}{A} = (\frac{h}{5}) ^{2}$

$a = (\frac{h}{5} )^{2}A$

Substituting value of a in equation $k*(\frac{1}{3}* a* h)=400$

So, $k*(\frac{1}{3}* \frac{h^{2} }{25}A * h)=400$

$(k*\frac{1}{3}* A*5)*\frac{1}{5} *\frac{h^{2} }{25} * h)=400$

Since, $(k *\frac{1}{3} *A* 5) = 800$ , substitute in above equation.

So, $800*\frac{h^{3} }{125}=400\\\\h^{3}=\frac{125}{2}\\\\h=\sqrt[\frac{1}{3} ]{62.5}\\\\h=3.97 feet$

Learn more:

brainly.com/question/17950304

6 0

2 years ago

Read 2 more answers

Show me how to do this

romanna [79]

Answer:

Step-by-step explanation:

The perimeter of the given triangle:

P = (2x + 1) + (x + 2) + (3x - 9) and P = 36 cm.

Therefore we have the equation:

2x + 1 + x + 2 + 3x - 9 = 36 combine like terms

(2x + x + 3x) + (1 + 2 - 9) = 36

6x - 6 = 36 add 6 to both sides

6x = 42 divide both sides by 6

x = 7

4 0

3 years ago

A rectangle with an area of 192 square meters has a length and width in a ratio of 3:1. What are the length and width?

yuradex [85]

Hey there! :)

Answer:

Length = 24 meters.

Width = 8 meters.

Step-by-step explanation:

Recall that to find the area of a rectangle, the formula is as shown:

A = l × w

In this case, the length is 3 times the length of the width, or 3 : 1.

Let w = width, and

3w = length.

Find the value of w by plugging in these values into the equation:

192 = 3w · w

192 = 3w²

Divide both sides by 3:

64 = w²

Square root both sides:

w = 8 meters. This is the width.

The length is equivalent to 3w, so:

3(8) = 24 meters.

6 0

4 years ago