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BlackZzzverrR [31]

2 years ago

14

John has a roll containing 24 2/3 feet of wrapping paper. He wants to divide it into 11 pieces. First, though ,he must cut off 5

/6 foot because it was torn. How long will each piece be?

1 answer:

Elodia [21]2 years ago

5 0

Here's what we'll be evaluating:

24 2/3 - 5/6 24 4/6 - 5/6 23 10/6-5/6 23 5/6

------------------- = -------------------- = -------------------- = ----------------------

11 pieces 11 pieces 11 pieces 11 [pieces

Now, this 23 5/6 is equivalent to 143/6, which we must divide by 11:

143 1

------ * ---------- = 13/6 (feet)

6 11

Each piece will be 13/6 ft long (2 1/6 ft).

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HELP PLS>>> The vector (3, - 7) ) is rotated by an angle of (3pi)/4 radians and then reflected across the y-axis. If th

horsena [70]

Answer:

$a \approx -2.826$ , $b \approx 7.072$

Step-by-step explanation:

First, the vector must be transformed into its polar form:

$r = \sqrt{3^{2}+ (-7)^{2}}$

$r \approx 7.616$

$\theta \approx 2\pi - \tan^{-1}\left(\frac{7}{3} \right)$

$\theta \approx 1.629\pi$

Let assume that vector is rotated counterclockwise. The new angle is:

$\theta' = \theta + \frac{3\pi}{4}$

$\theta' = 2.379\pi$

Which is coterminal with $\theta'' = 0.379\pi$ . The reflection across y-axis is:

$\theta''' = \pi - \theta''$

$\theta''' = 0.621\pi$

The equivalent vector in rectangular coordinates is:

$a = 7.616\cdot \cos 0.621\pi$

$a \approx -2.826$

$b = 7.616\cdot \sin 0.621\pi$

$b \approx 7.072$

7 0

2 years ago

What is the greatest common factor GCF of 30,66. 84

Anon25 [30]

Answer:

6

Step-by-step explanation:

Factorize of the above numbers :

30 = 2 • 3 • 5

66 = 2 • 3 • 11

84 = 22 • 3 • 7

Build a prime factors table

Number of times each prime factor

appears in the factorization of :

Prime

Factor Number

30 Number

66 Number

84 G.C.F

(min)

2 1 1 2 1

3 1 1 1 1

5 1 0 0 0

7 0 0 1 0

11 0 1 0 0

GCF = 2 • 3

Greatest Common Factor is :

6

8 0

2 years ago

Solve 4x - 5 = 7 + 4y for y

Mandarinka [93]

Answer:

<h2>y = x - 3</h2>

Step-by-step explanation:

4x - 5 = 7 + 4y <em>subtract 7 from both sides</em>

4x - 5 - 7 = 7 - 7 + 4y

4x - 12 = 4y <em>divide both sides by 4</em>

4x/4 - 12/4 = 4y/4

x - 3 = y

3 0

2 years ago

C=wtc/1000 solve for w

Nutka1998 [239]

For this case we have the following equation:
$C = \frac{wtc}{1000}$
To clear w, we must follow the following steps:
1) The value of t multiplied by c pass to divide the other side of the equation:
$\frac{w}{1000} = \frac{C}{tc}$
2) the value of 1000 is passed to multiply to the other side of the equation:
$w = \frac{1000C}{tc}$
Answer:
The cleared equation for w is:
$w = \frac{1000C}{tc}$

3 0

2 years ago

Read 2 more answers

Determine whether the quadratic function show below has a minimum or maximum then determine the minimum or maximum value of the

REY [17]

Answer:

The quadratic has a minimum value.

The minimum value is at (3, 2).

Step-by-step explanation:

We are given the quadratic function:

$f(x)=3x^2-18x+29$

First, since the leading coefficient is positive, this quadratic function will be concave up.

Hence, we will have a minimum value.

The minimum or maximum value is the vertex of the quadratic. The vertex is given by:

$\displaystyle \Big(-\frac{b}{2a},f\Big(-\frac{b}{2a}\Big)\Big)$

In this case, a = 3, b = -18, and c = 29. Thus, the x-coordinate of the vertex is:

$\displaystyle x=-\frac{-18}{2(3)}=\frac{18}{6}=3$

And the minimum value is:

$f(3)=3(3)^2-18(3)+29=2$

3 0

2 years ago