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egoroff_w [7]
2 years ago
6

Once a large pink​ ribbon, the sign of the fight against breast​ cancer, was erected out of pink​ post-it notes on a billboard.

If the area of the rectangular billboard covered by the ribbon was approximately 3920 square​ feet, and the width of the billboard was approximately 56 ​feet, what was the height of this​ billboard?
Mathematics
2 answers:
liraira [26]2 years ago
6 0

Answer:

  • 70 ft

Step-by-step explanation:

<u>Area of rectangle:</u>

  • A = wl

<u>Given:</u>

  • A = 3920 ft²
  • w = 56 ft

<u>Find the height:</u>

  • l = A/w
  • l = 3920/56 = 70 ft

saul85 [17]2 years ago
3 0

Answer:

Pretty sure the width would be 70

Step-by-step explanation:

3920ft divided by 56 = 70

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1) False, to begin converting the equation to standard form, each side must be added by 36. 2) True, to complete the square for the x terms, add 4 to both sides, 3) True, the center of the circle is at (-2, 3), 4) False, the center of the circle is at (-2, 3), 5) False, the radius of the circle is 7 units, 6) False, the radius of the circle is 7 units.

Step-by-step explanation:

Let prove the validity of each choice:

1) To begin converting the equation to standard form, subtract 36 from both sides:

Let consider the following formula and perform the following algebraic operations:

(i) x^{2} + y^{2} + 4\cdot x - 6\cdot y  - 36 = 0 Given

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(iv) (x+ 2)^{2} - 4 + (y - 3)^{2} - 9 - 36 = 0  Perfect Trinomial Square

(v) (x+2)^{2} +(y-3)^{2} = 4 + 9 + 36 Commutative Property/Compatibility with Addition/Additive Inverse Existence/Modulative Property

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False, to begin converting the equation to standard form, each side must be added by 36.

2) True, step (iii) on exercise 1) indicates that both side must be added by 4.

3) The general equation for a circle centered at (h, k) is of the form:

(x-h)^{2}+ (y-k)^{2} = r^{2}

Where r is the radius of the circle.

By direct comparison, it is evident that circle is centered at (-2,3).

True, step (vi) on exercise 1) indicates that center of the circle is at (-2, 3).

4) False, step (vi) on exercise 1) indicates that the center of the circle is at (-2, 3), not in (4, -6).

5) After comparing both formulas, it is evident that radius of the circle is 7 units.

False, the radius of the circle is 7 units.

6) After comparing both formulas, it is evident that radius of the circle is 7 units.

False, the radius of the circle is 7 units.

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