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Rzqust [24]
3 years ago
9

Diane needs a pice of paper whose length is 4 more inchs than width, and the area is as close as possible to 50 in^2. TO the nea

rst whole inch, what should the dimensions of he paper be.
This should be related to multiplying polynomials
*I will mark brainlist plz*
Mathematics
1 answer:
katovenus [111]3 years ago
6 0

Answer:

Width = 5 inches

Length = 9 inches

Step-by-step explanation:

The paper;

Length = (x + 4) inches

Width = x inches

The area is close as possible to 50 square inches.

Since this paper is rectangular in shape; the area of a rectangle is given by:

Area = Length × Width

∴ (x + 4) * x = 50 square inches

x² + 4x = 50

Let the area be equal to 45 square inches;

Applying the quadratic formula, x = 5 or -9

But since we are dealing with length measurements, the value of x = 5 inches.

So the width = 5 inches and;

length = 5 + 4 = 9 inches.

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Rewrite each expression in terms of sine and cosine only.
Sliva [168]

Answer:

1. Cosθ / SineθCosθ

2. Sineθ / Cos²θSineθ

3. Cosθ / Sineθ

4. Cos²θ + Sin²θ – Sin²θ

Step-by-step explanation:

1. SecθCotθ

Recall

Sec θ = 1/Cos θ

Cot θ = 1/Tan θ

But Tan θ = Sine θ / Cos θ

Thus,

Cot θ = 1 ÷ Sine θ / Cos θ

Cot θ = 1 × Cos θ / Sine θ

Cot θ = Cos θ / Sine θ

Therefore,

SecθCotθ = 1/Cos θ × Cos θ / Sine θ

SecθCotθ = Cosθ / SineθCosθ

2. SecθTanθCscθ

Recall

Sec θ = 1/Cos θ

Tan θ = Sine θ / Cos θ

Csc θ = 1/Sine θ

Thus,

SecθTanθCscθ =

1/Cosθ × Sineθ/Cosθ × 1/Sineθ

= Sineθ / Cos²θSineθ

3. Cscθ/Secθ

Recall

Csc θ = 1/Sine θ

Sec θ = 1/Cos θ

Thus,

Cscθ/Secθ = 1/Sine θ ÷ 1/Cos θ

= 1/Sine θ × Cos θ

= Cosθ / Sineθ

4. Cosθ / Secθ

Recall

Sec θ = 1/Cos θ

Cosθ / Secθ = Cosθ ÷ 1/Cosθ

= Cosθ × Cosθ

= Cos²θ

Recall

Cos²θ + Sin²θ = 1

Cos²θ = 1 – Sin²θ

But

1 = Cos²θ + Sin²θ

Thus,

Cos²θ = Cos²θ + Sin²θ – Sin²θ

Therefore,

Cosθ / Secθ = Cos²θ + Sin²θ – Sin²θ

6 0
3 years ago
Ray's pizza serves small and LG pizza. a small pizza has a diameter of 10inches and is sliced into 6 equal slices.a large pizza
Andrew [12]
  Amount of pizza eaten by Charlie.
 
7/6× 22/7 × (101/2)² =9350.91667

  Amount of pizza eaten by Julie

5/12 × 22/7 × 90.5² = 10725.3273

   Answer = Julie
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It will take

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A number decrease by 12 is 45
Blababa [14]

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D. N-12=45

Step-by-step explanation:

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6 0
3 years ago
On the map the scale is 1 inch=125 miles. What is the actual distance between the two cities if the map distance is 2 3/4 inches
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291.6 or rounded 292 miles
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