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nalin [4]
3 years ago
10

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

Mathematics
1 answer:
kvasek [131]3 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

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What is the slope of the line represented by 5x- 12y = 24
madam [21]

Answer: Slope= 0.833/2.000= 0.417

​

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Please help ASAP it’s due in 4 minutes
maxonik [38]

Answer:

a) well we know the hypotenuse and we know that all sides are 90 degrees, and that its an even square, so if we split it into a triangle , we know that the other 2 angles are 45 degrees total, with this we can calculate  the other 2 sides, which round to 10 inches.

b) if we know the sides of the first side, knowing the fact that its a square we know that all sides are even, therefore, all sides are 10 inches, the formula the finding the perimeter is basic:

P=L(2) + W(2)

L being length, W being width and P being perimeter

so we add up all 4 sides, here is the equation:

10 + 10 + 10 + 10 = 10 x 4 = 40

With this, we know that the perimeter is 40 inches total

c) knowing how long the sides are, we can figure out the area through another basic formula:

A=L X W

With A meaning Area

since its a square, we know all the sides are even, so the width and length are both 10...

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Step-by-step explanation:

I Hope I Helped!

3 0
3 years ago
Pls helpp
irina1246 [14]
  • you will need 2 busses to only transport the boys.
  • Mark is at (1 + 5/6) miles of his house.
<h3>How many buses would it take to carry only the boys?</h3>

We know that there are (3 + 1/2) groups, such that each group fill one bus.

2/5 of the students are boys, then the number of groups that we can make only with boys is:

(2/5)*(3 + 1/2) = 6/5 + 1/5 = 7/5 = 5/5 + 2/5 = 1 + 2/5

Then you can make one and a little less than a half of a group, which means that you need 1 and 2/5 of a buss to transport the boys, rounding that to the a whole number, you will need 2 busses to only transport the boys.

<h3>How far is Mark from his house?</h3>

The original distance is:

D = (2 + 3/4) miles.

But Mark only covers 2/3 of that distance, then we have:

d = (2/3)*D = (2/3)*(2 + 3/4) miles = (4/3 + 2/4) miles

d = (4/3 + 1/2) miles = (8/6 + 3/6) miles = (1 + 5/6) miles

Mark is at (1 + 5/6) miles of his house.

If you want to learn more about mixed numbers:

brainly.com/question/21610929

#SPJ1

7 0
2 years ago
Which equation represents the line that is perpendicular to y = 1/4 and passes through (-6,-9)
cluponka [151]

Answer:

B

Step-by-step explanation:

y = \frac{1}{4} is the equation of a horizontal line parallel to the x- axis.

A line perpendicular to it will be a vertical line parallel to the y- axis with equation

x = c

where c is the value of the x- coordinates the line passes through.

The line passes through (- 6, - 9 ) with equation

x = - 6 → B

5 0
3 years ago
What is the slope of a line perpendicular to the line whose equation is 3x-7y+14=0?
tatyana61 [14]
1.  Find the slope of the given line.  Do this by solving <span>3x-7y+14=0 for m:

3x + 14 = 7y, which gives us m = 3/7.

2.  Find the slope of a line perpendicular to this one.  It's the negative reciprocal of m = 3/7, or -7/3.

</span>
7 0
3 years ago
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