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weeeeeb [17]
3 years ago
11

The polar coordinates of a point are given. find the rectangular coordinates of this point.(5, 3pi/4

Mathematics
1 answer:
xeze [42]3 years ago
3 0
X would be r*cos theta and y  would be r*sin theta.

Here, x is 5cos 135 deg = 5(-1/sqrt(3))
and    y is 5* sin 135 deg = 5*(1/sqrt(3))


Write this point in the form (x,y), using the above values for x and y.

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For a party , Mr and Mrs. Kemper made 7.25. gallons of fruit punch.How many quarts of punch did they make.
lina2011 [118]
There are 29 quarts of fruit punch in 7.25 gallons of fruit punch.
4 0
3 years ago
Please help me!!!!!​ i need full answer.
salantis [7]

Answer:

see explanation

Step-by-step explanation:

Using the sum/ difference → product formula

cos x - cos y = - 2sin( \frac{x+y}{2})sin (\frac{x-y}{2} )

sin x - sin y = 2cos (\frac{x+y}{2} )sin (\frac{x-y}{2} )

Given

(cosA - cosB)² + (sinA - sinB )²

= [ - 2sin(\frac{A+B}{2})sin(\frac{A-B}{2} ) ]² + [ 2cos(\frac{A+B}{2} )sin(\frac{A-B}{2} ) ]²

= 4sin² (\frac{A+B}{2} )sin² (\frac{A-B}{2} ) + 4cos² (\frac{A+B}{2} )sin² ( \frac{A-B}{2} )

= 4sin² (\frac{A-B}{2} )[ sin² ( \frac{A+B}{2} ) + cos² ( \frac{A+B}{2} ) ← sin²x + cos²x = 1

= 4sin² ( \frac{A-B}{2} ) × 1

= 4sin² ( \frac{A-B}{2} ) = right side ⇒ proven

4 0
3 years ago
SOMEONE PLEASE HELP ITS WORTH 90 POINTS
motikmotik

Answer:

Step-by-step explanation:

The two x angles on the right are supplementary which means they add up to 180 degrees

5x + 12 + 7x - 24 = 180

12x - 12 = 180

12x = 192

x = 192/12

x = 18

5x + 12 and y are corresponding angles and are therefore equal

5(18) + 12 = 90 + 12 = 102

Therefore y = 102

3 0
2 years ago
Tricia completed the square of the quadratic function f(x)=x^2+14x+2 and determined the coordinates of the minimum value are (-7
eduard
To complete the square you halve the coefficient of the x term and square it. Half of 14 is 7 and 7² is 49. So we add 49 and subtract 49, which means we are not changing the value of the quadratic. So we have x²+14x+49-49+2. This can be written: (x²+14x+49)-49+2, which is (x+7)²-47, which is answer a.
8 0
3 years ago
Plz help it was due last week :((((
vesna_86 [32]
Formula= (y2-y1)/ (x2-x1)

(-5 - -1) / (-2 - -4)
(-4) / (2) = -2
q8 is C

(-3 - -3) / (8 - 4)
(0) / (4) = 0
q12 is D
4 0
3 years ago
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