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Rzqust [24]
3 years ago
14

A takeaway sells 10-inch pizzas and 12-inch pizzas.

Mathematics
1 answer:
N76 [4]3 years ago
5 0

Answer:

532.52

Step-by-step explanation:

P 2(10-inch pizza)=407*3.72-358*0.49=1514.04-175.42=1339.62

P2(12-inch pizza)=169*5.26-142*0.04=888.94-5.68=883.26

P=1339.62+883.26=2222.88

2222.88-1690.36=532.52

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9 - 3 * 2 + 4

9-6+4

3+4

7

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Furkat [3]
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zimovet [89]

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Un triángulo rectángulo tiene un área de 84 pies2 y una hipotenusa de 25 pies de largo. ¿Cuáles son las longitudes de sus otros
jolli1 [7]

Answer:

7 feet and 24 feet

Step-by-step explanation:

In the right triangle, the hypotenuse is 25 feet long. The area of this triangle is 84 square feet.

Let x feet and y feet be the lengths of triangle's legs.

By the Pythagorean theorem,

x^2+y^2=25^2\\ \\x^2+y^2=625

The area of the right triangle is half the product of its legs, thus

84=\dfrac{1}{2}xy\\ \\xy=168

Solve the system of two equations:

\left\{\begin{array}{l}x^2+y^2=625\\ \\xy=168\end{array}\right.

From the second equation:

x=\dfrac{168}{y}

Substitute it into the first equation:

\left(\dfrac{168}{y}\right)^2+y^2=625\\ \\168^2+y^4=625y^2\\ \\y^4-625y^2+168^2=0\\ \\D=(-625)^2-4\cdot 168^2=(625-2\cdot 168)(625+2\cdot 168)=289\cdot 961=17^2\cdot 31\\ \\\sqrt{D}=17\cdot 31=527\\ \\y^2_{1,2}=\dfrac{-(-625)\pm 527}{2}=49,\ 576\\ \\y_1=7,\ y_2=-7,\ y_3=24,\ y_4=-24

The length of the leg cannot be negative, so

y_1=7\Rightarrow x_1=\dfrac{168}{7}=24\\ \\y_2=24\Rightarrow x_2=\dfrac{168}{24}=7

6 0
3 years ago
9:45 on Tuesday Questions
Sergio039 [100]

Answer:

  • 95°
  • 85°

Step-by-step explanation:

<u>Given angles are consecutive interior angles which sum up to 180°</u>

  • 9x + 14 + 8x + 13 = 180
  • 17x = 180 - 27
  • 17x = 153
  • x = 153/17
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<u>Angles</u>

  • 9x + 14 = 9*9 + 14 = 81 + 14 = 95°
  • 8x + 13 = 85°
8 0
3 years ago
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