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3 years ago

(1.3t3 + 0.4t2 – 24t) – (0.6t2 + 8 – 18t)

1 answer:

5 0

To solve this problem you must apply the proccedure shown below:
1. You have that the the polynomial being subtracted is 0.6t²+8-18t, therefore, to find the additive inverse of the polynomial, you must multiply it by -1, as following:
(0.6t²+8-18t)
(-1)(0.6t²+8-18t)
2. Therefore, you obtain the following result:
-0.6t²-8+18t
Then, tas you can see, the answer is -0.6t²-8+18t.

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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

7.6375 correct to 2 decimal place

Reil [10]

I got 7.64 because you round the 3 to 4 since the 7, in the 3rd decimal place is higher than 5

4 0

3 years ago

A guy wire supporting a radio tower is positioned 145 feet up the tower.

Nutka1998 [239]

the angle of the tower would be the coifficent

7 0

3 years ago

The ratio of male to female students in a junior high

nalin [4]

the total no of population=1650

13:17 first add the two numbers 13+17=30

then 13/30×y =715 , i make 13 at the numerator because it's males ratio

after that 30/13×13/30y =715 ×30/13

y =715×30/13

y =1650

after u find the total no it's simple to find the no of females

17/30×1650=935

8 0

3 years ago

Rachel reads 1/5 of the pages of a book plus 12 pages on the first day.

kkurt [141]

Answer:

Let's say that the whole book have 5a pages.

First day: a + 12

Second day: (4a)1/4+15= a + 15

Third day: (1/3)[ 4a - (a+15)] +18= a + 13

Forth day: 70

So we get this:

(a + 12) + (a + 15) + (a + 13) + 70 = 5a

a + 12 + a + 15 + a + 13 + 70 = 5a

3a + 110 = 5a

3a - 5a = -110

-2a = -110

a = 55

5a = 5(55) = 275

So the total pages are in the book is:

275 pages

6 0

2 years ago

Read 2 more answers