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aleksley [76]
3 years ago
11

What is the side length, in inches, of the pets

Mathematics
1 answer:
tatiyna3 years ago
7 0

Candy draws a square design with a side length of x inches for the window at the pet shop. She takes the design to the printer and asks for a sign that has an area of 16x2 – 40x + 25 square inches. What is the side length, in inches, of the pet shop sign?

Answer:

the length of the sign is 4x-5 inches

Step-by-step explanation:

Given

Area of the square of design = 16x^{2} -40x+25

First we find the roots of equation 16x^{2} -40x+25=0

The roots of the quadratic equation ax^{2} +bx^{2} +c=0 are given by

x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

where a=16, b=-40, c=25

x=\frac{40\pm\sqrt{(-40)^2-4\times 16\times 25}}{2\times 16}

x=\frac{40\pm\sqrt{1600-1600}}{32}

x=\frac{40\pm\sqrt{0}}{32}

x=\frac{40}{32}

x=\frac{5}{4}

4x=5\\4x-5=0

That is, the factors of the polynomial 16x^{2} -40x+25 are 4x-5 and 4x-5.

So, Area of the square design = 16x^{2} -40x+25 = (4x-5)^{2}

Area of a square = Length^2

Thus, the length of the sign is 4x-5 inches

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Answer:

11.820 ft

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you that ...

Sin = Opposite/Hypotenuse

The length of the ladder is the hypotenuse of a right triangle with 52° as the base angle. The side opposite is the height up the building where the top of the ladder rests. So, you have the relation ...

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Multiplying by the denominator gives you ...

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You may need to round this number appropriately.

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Earth is approximately 9.3 × 10^7 miles from the sun and Saturn is approximately 8.87 × 10^8 miles from the sun. Approximately h
denis23 [38]

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7.94 x 10⁸miles

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Unknown:

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To find the solution to this problem, let us find the difference between their distances:

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Montano1993 [528]

Answer:Number of Spearmint gum = 27 pieces

Step-by-step explanation:

step 1

Let the total number of peppermint gum and spearmint gum in the container = X

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Step 2

we were given that  peppermint gum= 18 pieces , so total number of gums  will be calculated as

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Therefore Number of Spearmint gum = 27 pieces

7 0
3 years ago
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