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OleMash [197]
2 years ago
7

Pls help someone pls

Mathematics
1 answer:
Ber [7]2 years ago
5 0

Answer:

Step-by-step explanation:

Find the are by multiplying all of the sides    together, and you wil  get your answer.  

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Convert from rectangular to polar coordinates:Note: Choose r and θ such that r is non-negative and 0 ≤ θ < 2πa. (6,0)b. (9,9/
Anuta_ua [19.1K]

Answer:

The polar coordinates are as follow:

a. (6,2π)

b. (18, π/3)

c. (2√2 , 3π/4)

d. (2, 5π /6)

Step-by-step explanation:

To convert the rectangular coordinates into polar coordinates, we need to calculate r, θ .

To calculate r, we use Pythagorean theorem:

r = \sqrt{ x^{2} +y^{2} } ---- (1)

To calculate the θ, first we will find out the θ '  using the inverse of cosine as it is easy to calculate.

So,    θ '  = cos ⁻¹  (x/r)

If  y  ≥  0  then  θ  =  ∅

If  y  <  0  then  θ  =  2 π  −  ∅

For a. (6,0)

Sol:

Using the formula in equation (1). we get the value of r as:

r = \sqrt{6^{2} + 0^{2}  }

r = 6

And ∅  = cos ⁻¹  (x/r)

∅ = cos ⁻¹  (6/6)

∅  =cos ⁻¹   (1) = 2π

As If  y  ≥  0  then  θ  =  ∅

So ∅ = 2π

The polar coordinates are (6,2π)

For a. (9,9/\sqrt{3})

Sol:

r = 9 + 3(3) = 18

and ∅  = cos ⁻¹  (x/r)

∅ = cos ⁻¹  (9/18)

∅ = cos ⁻¹   (1/2) = π/3

As  If  y  ≥  0  then  θ  =  ∅

then θ  = π/3

The polar coordinates are (18, π/3)

For (-2,2)

Sol:

r =√( (-2)²+(2)² )

r = 2 √2

and ∅  = cos ⁻¹  (x/r)

∅ = cos ⁻¹  (-2/ 2 √2)

∅ = 3π/4

As  If  y  ≥  0  then  θ  =  ∅

then   θ  = 3π/4

The polar coordinates are (2√2 , 3π/4)

For (-√3, 1)

Sol:

r = √ ((-√3)² + 1²)

r = 2

and ∅  = cos ⁻¹  (x/r)

∅  = cos ⁻¹ ( -√3/2)

∅  = 5π /6

As  If  y  ≥  0  then  θ  =  ∅

So  θ  = 5π /6

The polar coordinates are (2, 5π /6)

6 0
3 years ago
What is the coefficients of x² in (2-3x) (x²-5)​
aniked [119]

Answer:

+2

Step-by-step explanation:

=> (2-3x)(x^2-5)

=> (2x^2-10-3x^3+15x)

<em>Arranging it in descending order</em>

=> -3x^2+2x^2+15x-10

<u><em>So, the coefficient of x² in this expression is +2</em></u>

5 0
2 years ago
Read 2 more answers
PLZ HELP! Lenny is 3 times older than Max. When you subtract Max’s age from Lenny’s age, you get 24. How old is Lenny and how ol
tresset_1 [31]
Hi!

(l = Lenny
m = Max)

Lenny is 3 times as old as Max.
3m = l

When you subtract Max's age from Lenny's age, you get 24.
L - m = 24

Put in the value of l.
3m - m = 24
There is our equation.

Now solve

2m = 24
2m/2 = 24/2
m = 12

3 * 12 = l
36 = l

The equation is 3m - m = 24
Max is 12 and Lenny is 36.

Hope this helps! :)
-Peredhel
6 0
3 years ago
Read 2 more answers
Select the two binomials that are factors of this trinomial.
mojhsa [17]

To split this trinomial into two binomials, let's try and find two numbers which add to 6 and multiply to 8. To do this, we can list all the factors of 8 and then choose which factors also add to 6.

Factors of 8: (1, 8), (2, 4)


1 + 8 = 9, meaning that 1 and 8 are not the factors we are looking for. However, 2 and 4 do add to 6. By combining these numbers which an x (so that we can produce the x^2 term at the front of the trinomial), we find the binomials:

x+ 2 and x + 4


The answer is x + 2 and x + 4.

5 0
3 years ago
Read 2 more answers
Estimate the sum of numbers 9488 and 857 to the nearest 10 <br><br>Ans: ?
UNO [17]
For the first one it’s 9490 & for the second it’s 860
5 0
3 years ago
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