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2 years ago

What is 28/25 in simplest form

Mathematics

2 answers:

antoniya [11.8K]2 years ago

7 0

This is already in simplest form

Dvinal [7]2 years ago

4 0

It's already in the lowest form, but you can write 1 3/25

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Find the volume of the solid that lies between planes perpendicular to the x-axis at x = pi/4 and x = 5pi/4. The cross-sections

svp [43]

Answer:

The volume of the solid = π²

Step-by-step explanation:

As per the given data of the questions,

The diameter of each disk is

D = 2 sin(x) - 2 cos(x)

So its radius is

R = sin(x) - cos(x).

The area of each disk is

$= \pi \times(sinx-cosx)^{2}$

$= \pi \times [sin^{2}(x) - 2 sin(x) cos(x) + cos^{2}(x)]$

$= \pi[1-2sin(x)cos(x)]$

$= \pi[1-sin(2x)]$

Now,

Integrate from $x=\frac{\pi}{4}\ \ \ to\ \ \ x=\frac{5\pi}{4}$ , we get volume:

$V=\int_{\frac{\pi}{4}}^{\frac{5\pi}{4}} \pi[1-sin(2x)]dx$

After integrate without limit we get

$V=\pi[x+\frac{cos2x}{2}]$

Now after putting the limit, we get

V = π²

Hence, the required volume of the solid = π²

3 0

3 years ago

A group of friends went out for dinner and decided to split the cost of the $196 bill equally. If each person contributed $30, t

IgorLugansk [536]

Answer:6 friends

xcvbnm, zxdfghjk,cxdfghjm

7 0

2 years ago

An office building casts a shadow that is 55 m long. At the exact same time, a 5 m tree casts a shadow that is 1.1 m long. Use s

Veronika [31]

Answer:

would you need to divide them???

Step-by-step explanation:

5 0

3 years ago

8. Patrice and Don buy a home for $92,000. The property tax rate is$39.50 per $1,000 of assessed value. The assessment rate is 4

Kaylis [27]

We start by calculating the assessed value, that is 41% of the price.

The price is $92,000.

Then, the assessed value is:

$AV=a\cdot P=\frac{41}{100}\cdot92000=0.41\cdot92000=37720$

The property tax rate is $39.50 per $1000 of assessed value, so we can express this rate as:

$\text{tax rate}=\frac{39.50}{1000}=0.0395$

We then can multiply this rate by the assessed value to calculate the total property tax:

$\text{tax}=0.0395\cdot37720=1489.94$

NOTE: we could have also multiplied 39.50 by 37.72. The value 37.72 is the thousands of dollars of assessed value. We would have obtained the same result: 39.50*37.72=1489.94.

Answer: the property tax is $1,489.94.

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1 year ago

Identify the variation as direct, inverse, joint or combined. y = cx²

viva [34]

Answer:

combined variation

Step-by-step explanation:

we have

$y=cx^{2}$

we know that

a)<u> in the interval </u>----> (0,∞)

If the value of x increase the value of y increase

Is a direct variation

b) <u>in the interval -</u>---> (-∞,0)

If the value of x increase the value of y decrease

Is a inverse variation

therefore

Is a combined variation

4 0

3 years ago

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