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Lorico [155]
3 years ago
14

Sheila gives all 12 people in line 1/2 cup of juice does she given all

Mathematics
1 answer:
PilotLPTM [1.2K]3 years ago
8 0
She gives 6 cups of juice
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What is the center and radius of the circle given by x2 + y2 - 10x - 12y + 24 = 0?​
AveGali [126]

Answer:

centre (5, 6 ) , r = \sqrt{37}

Step-by-step explanation:

the equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k ) are the coordinates of the centre and r the radius

given

x² + y² - 10x - 12y + 24 = 0 ( collect x and y terms together and subtract 24 from both sides )

x² - 10x + y² - 12y = - 24

using the method of completing the square

add ( half the coefficient of the x / y terms)² to both sides

x² + 2(- 5)x + 25 + y² + 2(- 6)y + 36 = - 24 + 25 + 36

(x - 5)² + (y - 6)² = 37 ← in standard form

with centre (h, k ) = (5, 6 ) and r = \sqrt{37}

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2 years ago
Ronald states that The number 1/11 is not rational because when converted into a decimal it is not terminate Nathaniel says it’s
gregori [183]
Nathaniel is correct. fractions are rational numbers
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3 years ago
Find the areas of the following parallelograms. pleasee helppp!​
svetlana [45]

Answer:

Below in bold.

Step-by-step explanation:

Area = altitude * base

3.   6.2 * 6

=  37.2 cm^2.

4.  0.12 * 0.24

= 0.0288 m^2.

5. 32 * 0.4

= 12.8 m^2.

7 0
3 years ago
The Eiffel Tower in Paris, France. Lizbeth is 5.5 feet tall. She looks up at an angle of elevation of 72° to see the top from 31
garri49 [273]

Answer:

The height of the Eiffel Tower will be 318 feet.

Step-by-step explanation:

Please check the attached graph.

From the diagram, it is clear that Lizbeth is 5.5 ft tall, seeing the top from 318 feet away, making an angle of elevation to be 72⁰.

The diagram makes a right-angled triangle.

  • Given the angle = Ф = 72⁰
  • Adjacent = a = 5.5 ft
  • Opposite = b = 318 ft
  • Hypotenuse = the height of the Eiffel Tower = c ?

Pythagorean Theorem:

For a right-angled triangle, with sides 'a' and 'b', the hypotenuse 'c' is defined as:

c=\sqrt{a^2+b^2}

  • a=5.5
  • b=318

c=\sqrt{5.5^2+318^2}

c=318 feet

Therefore, the height of the Eiffel Tower will be 318 feet.

3 0
2 years ago
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