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postnew [5]
3 years ago
10

A rectangle is drawn so that the width is 3 feet shorter than the length. the area of the rectangle is 40 square feet. find the

length of the rectangle.
Mathematics
1 answer:
Tpy6a [65]3 years ago
3 0
Draw a rectangle and label the right side as L-3 and the bottom side as L.

Area is L x W...in this case L(L-3) = 40.....we get

L^2 - 3L = 40  (subtract 40 from each side we get...)
L^2 - 3L - 40 = 0  (factor this out to get the L and W)

8 and 5
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3 years ago
1. Transform the polar equation to a Cartesian (rectangular) equation: 2. Transform the Cartesian (rectangular) equation to a po
MissTica

Answer:

Attachment 1 : 5x + 6y = 5, Attachment 2 : 4cotθcscθ

Step-by-step explanation:

Remember that we have three key points in solving these types of problems,

• x = r cos(θ)

• y = r sin(θ)

• x² + y² = r²

a ) For this first problem we need not apply the third equation.

( Multiply either side by 5 cos(θ) + 6 sin(θ) )

r * ( 5 cos(θ) + 6 sin(θ) ) = 5,

( Distribute r )

5r cos(θ) + 6r sin(θ) = 5

( Substitute )

5x + 6y = 5 - the correct solution is option c

b ) We know that y² = 4x ⇒

r²sin²(θ) = 4r cos(θ),

r = 4cos(θ) / sin²(θ) = 4 cot(θ) csc(θ) = 4cotθcscθ - again the correct solution is option c

8 0
3 years ago
Angle between 0 and 360 coterminal to 444 degrees
ycow [4]

Answer:

444 is coterminal to 84

Step-by-step explanation:

Just subtract 360 from 444 and you have your answer

444 - 360 = 84

4 0
2 years ago
Given trapezoid​ WXYZ, what is​ XY?
stepan [7]

Answer:

XY = 16 ft

Step-by-step explanation:

The mid segment DE is half the sum of the parallel bases, that is

\frac{XY+WZ}{2} = 20 ( multiply both sides by 2 to clear the fraction )

XY + WZ = 40

XY + \frac{3}{2} XY = 40 ( multiply through by 2 to clear the fraction )

2XY + 3XY = 80

5XY = 80 ( divide both sides by 5 )

XY = 16

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Answer:

Step-by-step explanation:

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