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melamori03 [73]
3 years ago
10

If p is a point with polar coordinates ​(r,thetaθ​), the rectangular coordinates​ (x,y) of p are given by xequals=​_______ and y

equals=​_______.
Mathematics
1 answer:
Anuta_ua [19.1K]3 years ago
5 0

Answer:

x = r cos theta and y = r sin theta

Step-by-step explanation:

cos theta = x / r  so:-

x = r cos theta

and sin theta = y / r, so

y =  r sin theta

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The surface area of the prism is ______ square units. All measurements in the image below are in units. (Input the whole number
Alex787 [66]
The surface area of the triangle is 1/2 * 6*8 so it is 24 sq units
The whole thing is 24* 7.5 so it is 180 sq units
7 0
2 years ago
Robert needs to cut four shelves from a board that is 2.5 meters long. The second shelf is 18 cm longer than twice the length of
g100num [7]
STEP 1:
convert meters to centimeters
100 cm= 1 meter

= 100 cm/m * 2.5 m
= 250 cm


STEP 2:
x= length of first shelf
2x+18= length of second shelf
x-12= length of third shelf
x+4= length of fourth shelf

since the whole board has to be used, add lengths of all shelves and set it equal to the whole length of the board (250 cm).

x + (2x+18) + (x-12) + (x+4)= 250 cm
combine like terms
5x + 10= 250
subtract both sides by 10
5x= 240
divide both sides by 5
x= 48


STEP 3:
find length of second shelf
= 2x + 18
= 2(48) + 18
= 114 cm


CHECK:
x + (2x+18) + (x-12) + (x+4)= 250
48 + (2(48)+18) + (48-12) + (48+4)= 250
48 + (96+18) + 36 + 52= 250
48 + 114 + 36 + 52= 250
250= 250


ANSWER: Shelf two is 114 cm.

Hope this helps! :)
8 0
3 years ago
Point P lies on the line with the equation y-4=3(x-2). If the x-coordinate of P is 4, what is the y-coordinate of P
maw [93]
Let's start by tidying up that equation and put it into slope-intercept form (y = mx + b); from there, we can plug in coordinates.

y - 4 = 3(x-2)

Let's use the distributive property on the right side:
y - 4= 3x - 6

Now add 4 to both sides
(y - 4) + 4 = (3x - 6) + 4

Which simplifies to:
y = 3x - 2

Since that's the equation of our line, now we can plug in coordinates and see what it churns out. 

We know that the x-coordinate of P = 4 so let's substitute 4 in for x and calculate the y-coordinate:

y = 3(4) - 2
y = 12 - 2
y = 10

So the y-coordinate for point P = 10
6 0
3 years ago
Solve the system of equations 5x – 2y = 19 and -x + y = 1 by combining the<br> equations.
Zarrin [17]

Answer:

Step-by-step explanation:

5x - 2y = 19

-5x + 5y = 5

3y = 24

y = 8

-x + 8 = 1

-x = -7

x = 7

(7, 9)

3 0
2 years ago
HELP<br> Pre-algebra<br> Not understanding :/
Contact [7]
The answer will end up being c
7 0
2 years ago
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