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ra1l [238]
2 years ago
6

Is an apple juice box 250 milliliters or 250 liters

Mathematics
1 answer:
klasskru [66]2 years ago
6 0

Answer:

Step-by-step explanation:

250 milliliters

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You cut a styrofoam ball in half for a project. Find the surface area of each half of the styrofoam ball.
uranmaximum [27]

Answer:

The question needs to state the radius of the styrofoam ball.

4 0
3 years ago
Convert the Cartesian equation (x 2 + y 2)2 = 4(x 2 - y 2) to a polar equation.
SashulF [63]

<u>ANSWER</u>

{r}^{2}  = 4  \cos2\theta

<u>EXPLANATION</u>

The Cartesian equation is

{( {x}^{2}  +  {y}^{2} )}^{2}  = 4( {x}^{2} -  {y}^{2}  )

We substitute

x = r \cos( \theta)

y = r \sin( \theta)

and

{x}^{2}  +  {y}^{2}  =  {r}^{2}

This implies that

{( {r}^{2} )}^{2}  = 4(( { r \cos\theta)  }^{2} -  {(r \sin\theta) }^{2}  )

Let us evaluate the exponents to get:

{r}^{4}  = 4({  {r}^{2} \cos^{2}\theta } -   {r}^{2}  \sin^{2}\theta)

Factor the RHS to get:

{r}^{4}  = 4{r}^{2} ({   \cos^{2}\theta } -   \sin^{2}\theta)

Divide through by r²

{r}^{2}  = 4 ({   \cos^{2}\theta } -   \sin^{2}\theta)

Apply the double angle identity

\cos^{2}\theta -\sin^{2}\theta=  \cos(2 \theta)

The polar equation then becomes:

{r}^{2}  = 4  \cos2\theta

7 0
3 years ago
In the triangle below, what is the cosine of 45?
Colt1911 [192]
Cosine = adjacent / hypotenuse
cosine = 1 / square root (2)

7 0
3 years ago
Read 2 more answers
Please help!!!!!!!!!!!
boyakko [2]

Answer:

  (7√6)/2

Step-by-step explanation:

The side ratios in these special triangles are ...

  30°-60°-90° triangle: 1 : √3 : 2

  45°-45°-90° triangle: 1 : 1 : √2

This tells you the length of the horizontal line is 7√3, and the value of x is ...

  (7√3)/√2 = (7√6)/2

_____

<em>Additional comment</em>

Call the length of the horizontal line "y". Then the given ratios tell you ...

  7 : y = 1 : √3   ⇒   y/7 = √3/1   ⇒   y = 7√3

and

  x : y = 1 : √2   ⇒   x/y = 1/√2   ⇒   x = y/√2

When we rationalize the denominator, we get ...

  x = (y√2)/2 = ((7√3)√2)/2 = (7√6)/2

4 0
2 years ago
If one gallon of paint covers 825 sq. ft., how much paint is needed to cover 2640 sq. ft.
Ray Of Light [21]
3.2 gallons of paint is needed since 2640 divided by 825 = 3.2 
6 0
3 years ago
Read 2 more answers
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