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Aleonysh [2.5K]
2 years ago
7

Solve this question with full working and explanation and I will mark you as brainliest. ​

Mathematics
2 answers:
SVETLANKA909090 [29]2 years ago
7 0

<u>Answer:</u>

The hand moved \bf \frac{3}{4} of a complete turn.

<u>Step-by-step explanation:</u>

The hand moved from 3 to 12, that is, it moved:

12 - 3 = 9 hours

In a clock, 12 hours represent a complete turn.

∴ Using the unitary method:

12 hours    ⇒     1 turn

1 hour        ⇒     \frac{1}{12} turns

9 hours     ⇒     \frac{1}{12}  × 9 = \frac{9}{12}

                                     = \bf \frac{3}{4} turns    (simplified)

∴ The hand moved \bf \frac{3}{4} of a complete turn.

Simora [160]2 years ago
7 0

The answer is  \boxed{\frac{3}{4}}.

To find the fraction of a complete turn it moved in this case, take the ratio between hours covered between 3 and 12, and the hours covered in a complete turn.

  • Hours covered between 3 and 12 : 12 - 3 = 9
  • Hours covered in a complete turn = 12
  • Fraction of a complete turn it moved : 9/12 = 3/4
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Find an equation of the plane. The plane through the points (0, 9, 9), (9, 0, 9), and (9, 9, 0) Incorrect: Your answer is incorr
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Answer:

The equation of the plane is represented by \frac{1}{18}\cdot x + \frac{1}{18}\cdot y + \frac{1}{18}\cdot z = 1.

Step-by-step explanation:

Algebraically speaking, a plane can be represented by following vectorial product:

(a,b, c)\,\bullet\,(x,y,z) = 1 (1)

Where:

a, b, c - Plane coeffcients.

x, y, z - Coordinates.

We need three distinct points to determine all coefficients. If we know that (x_{1},y_{1},z_{1}) = (0,9,9), (x_{2},y_{2}, z_{2}) = (9,0,9) and (x_{3},y_{3},z_{3}) = (9,9,0), the system of equations to be solved is:

9\cdot b + 9\cdot c = 1 (1)

9\cdot a + 9\cdot c = 1 (2)

9\cdot a + 9\cdot b = 1 (3)

The solution of this system is a = \frac{1}{18}, b = \frac{1}{18}, c = \frac{1}{18}.

Hence, the equation of the plane is represented by \frac{1}{18}\cdot x + \frac{1}{18}\cdot y + \frac{1}{18}\cdot z = 1.

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3 years ago
In Greg's that, he has $1$ yellow, $2$ red, and $3$ green tokens. One red token is equivalent to $7$ yellow tokens. One yellow t
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Step-by-step explanation:

please check the attached file for explanation

4 0
4 years ago
Read 2 more answers
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
Galina-37 [17]

Answer:

Step-by-step explanation:

Hello, we know that if the equation is

   y=a(x-h)^2+k

Then the vertex is the the point (h,k)

Here, the vertex is the point (-2,-20) so we can write, a being a real number that we will have to find,

y=a(x-(-2))^2-20=a(x+2)^2-20

On the other hand, we know that the y-intercept is (0,-12) so we can write

-20=a(0+2)^2-12=4a-12\\\\\text{We add 12 and we divide by 4.}\\\\4a = -20+12=-8\\\\a = \dfrac{-8}{4}=-2

So the equation becomes.

\boxed{y=-2(x+2)^2-12}

And we can give the standard form as below.

y=-2(x+2)^2-12=-2(x^2+4x+4)-12\\\\=-2x^2-8x-8-12 \ \\\\\boxed{y=-2x^2-8x-20}

Thank you.

7 0
4 years ago
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