Ask question

Ask question

All categories

2 years ago

10

Find the rectangular coordinates of the point with the polar coordinates (7, 2pi/3)

1 answer:

kvasek [131]2 years ago

4 0

Polar coordinates are given by (r,θ).
Rectangular coordinates are given by (x,y)=(rcos θ,rsin θ<span>)

You are given the r and the </span><span>θ.

You need to find </span> what <span>7cos<span>(<span><span>2π</span>3</span>)</span></span> is, then find <span>7sin<span>(<span><span>2π</span>3</span>).

</span></span>

<span>x=<span><span>−7/</span>2
</span>y=7</span><span>√</span>3/2

You might be interested in

22. Find the perimeter and area.

zmey [24]

Answer:

Part 22) The area is $A=15a^3b^6\ units^2($ and the perimeter is $P=10a^2b^4+6ab^2\ unit$

Part 24) The area is $A=16m^3n\ units^2$ and the perimeter is $P=24mn\ units$

Part 26) The area is equal to $A=9\pi x^6y^{2}\ units^2$

Step-by-step explanation:

Part 22) Find the perimeter and area

step 1

The area of a rectangle is equal to

$A=LW$

we have

$L=5(a^2)(b^4)\ units$

$W=3(a)(b^2)\ units$

Remember that

When multiply exponents with the same base, adds the exponents and maintain the base

substitute in the formula

$A=(5(a^2)(b^4))(3(a)(b^2))$

$A=15a^3b^6\ units^2$

step 2

The perimeter of a rectangle is equal to

$P=2(L+W)$

we have

$L=5(a^2)(b^4)\ units$

$W=3(a)(b^2)\ units$

substitute in the formula

$P=2(5(a^2)(b^4)+3(a)(b^2))$

$P=10a^2b^4+6ab^2\ unit$

Part 24) Find the perimeter and area

step 1

The area of triangle is equal to

$A=\frac{1}{2}bh$

where

$b=8mn\ units$

$h=4m^2\ units$

Remember that

When multiply exponents with the same base, adds the exponents and maintain the base

substitute the given values

$A=\frac{1}{2}(8mn)(4m^2)$

$A=16m^3n\ units^2$

step 2

Find the perimeter

I will assume that is an equilateral triangle (has three equal length sides)

The perimeter of an equilateral triangle is

$P=3b$

where

$b=8mn\ units$

substitute

$P=3(8mn)$

$P=24mn\ units$

Part 26) Find the area

The area of a circle is equal to

$A=\pi r^{2}$

where

$r=3x^3y\ units$

Remember the property

$(a^{m})^{n}=a^{m*n}$

substitute in the formula the given value

$A=\pi (3x^3y)^{2}$

$A=9\pi x^6y^{2}\ units^2$

6 0

2 years ago

on a piece of paper graph the system of equations then determine which answer choice matches the graph you drew and identify the

grigory [225]

Answer:

the solution is (-2,3)

Step-by-step explanation:

a

7 0

3 years ago

There were 26 balloon in the party room, 12 red and 14 blue. Half of the blue balloon

Nostrana [21]

Answer:

There would be 19 ballons left

Step-by-step explanation:

7 0

3 years ago

The difference of twice a number and 4 is 16 .

german

Answer:

Let X be the number.

Twice the number would be 2x

The difference between the two, would be subtraction, so you would subtract 4 from 2x

The equation becomes 2x-4 = 16

Now solve for x:

2x-4 = 16

Add 4 to each side:

2x = 20

Divide both sides by 2:

x = 20/2

x = 10

The number is 10.

7 0

3 years ago

Read 2 more answers

Help me!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

ahrayia [7]

Answer:

9. x=-6, y=0

10. x=-9, y=-10

11. x=3, y=-1

Step-by-step explanation:

$2x-9y=-12\\3x+18y=-18$

Multiply the first equation by 2.

$4x-18y=-24\\3x+18y=-18$

Add the equations.

$7x=-42$

$x=-6$

We figured out x now we have to figure out y. To figure out y plug in x into any equation.

$2(-6)-9y=-12$

$-12-9y=-12$

$-9y=0$

$y=0$

Your answer is x = -6 and y = 0 for number nine.

$6x+3y=24\\2x+3y=-12$

Change the signs of the second equation becuase 3y and 3y are both positive. We need one of them to be negative.

$6x+3y=24\\-2x-3y=12$

Add them.

$4x = 36$

$x=9$

Now we have to figure out y.

$2(9)+3y=-12$

$18+3y=-12$

$3y=-30$

$y=-10$

x=-9 and y=-10 is your answer to number ten.

$10x+5y=25\\-7x-3y=-18$

$30x+15y=75\\-35x-15y=-90$

$-5x=-15$

$x=3$

$-7(3)-3y=-18$

$-21-3y=-18$

$-3y=3$

$y=-1$

x=3 and y=-1 is the answer to number eleven. I hope this helps! Let me know if I got anything wrong.

4 0

2 years ago

Read 2 more answers