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3 years ago

How to compare an order fraction into a decimal

Mathematics

1 answer:

Nitella [24]3 years ago

6 0

You can convert the fraction to a decimal form.
7/9 is .778
.778 is greater than .6

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What is the integral of -3x^3

Sati [7]

$\int -3x^3\, dx=-3\int x^3 \, dx=-3\cdot\dfrac{x^4}{4}+C=\dfrac{3x^4}{4}+C$

6 0

3 years ago

A cube has side length x. One side of the cube is increased by 4 inches, and another side is doubled. The volume of the new rect

AfilCa [17]

Let

x-------> the length side of the original cube

we have

$2x^{3} +8x=450\\2x^{3}=450-8x$

Divide by $2$ both sides

$x^{3}=225-4x$

The system of equations is equal to

$y=x^{3}$ --------> equation $1$

$y=225-4x$ --------> equation $2$

using a graphing tool

see the attached figure

we know that

the solution of the system of equations is the intersection both graphs

therefore

the solution is

$x=5.86\ in$

therefore

<u>the answer is</u>

$5.86\ inches$

6 0

3 years ago

Read 2 more answers

Find cos theta if sin theta = 2/3. assume the terminal side of the angel falls in quadrant 2

kow [346]

Well knowing that the terminal arm of the standard position angle is in quadrant 2, we can determine the reference angle, in quadrant 2, by simply taking the difference between 180 and whatever the angle is.

So ø reference = 180 - ø in standard position.

Regardless, the reference angle is in quadrant 2, we need to then label the sides of the reference triangle based on the opposite and hypotenuse.

Solve for adjacent side using Pythagoras theorem.

A^2 = C^2 - B^2
A^2 = 3^2 - 2^2
A^2 = 9 - 4
A^2 =5
A = sq root of 5.

Then write the cos ratio using the new side.

Cos ø =✔️5/3. Place a negative in front of cos ø as cos is negative in second quadrant.

3 0

2 years ago

Given the system of linear equations.

Degger [83]

Part(A):

To solve the system of Linear equations using Substitution:

$x+y=7 \\ 2x+y=5$