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Andrej [43]
3 years ago
14

Barbara buys a box of pens for $4. For every additional box she buys, she gets a $1 discount. Which expression represents the to

tal cost of the pens, c, as a function of the number of boxes, b? c = f(b) = 4b – 1 c = f(b) = 4b + 1 c = f(b) = 3b + 4 c = f(b) = 4b + 3 c = f(b) = 4 + 3(b – 1)
Mathematics
1 answer:
Andreyy893 years ago
7 0
$4 x c - 1
I don't know reallly
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suter [353]

Answer:

\theta = 30^\circ, 330^\circ

\theta = \frac{\pi}{6}, \frac{11\pi}{6}

Step-by-step explanation:

Given [Missing from the question]

Equation:

cos\theta = \frac{\sqrt 3}{2}

Interval:

0 \le \theta \le 360

0 \le \theta \le 2\pi

Required

Determine the values of \theta

The given expression:

cos\theta = \frac{\sqrt 3}{2}

... shows that the value of \theta is positive

The cosine of an angle has positive values in the first and the fourth quadrants.

So, we have:

cos\theta = \frac{\sqrt 3}{2}

Take arccos of both sides

\theta = cos^{-1}(\frac{\sqrt 3}{2})

\theta = 30 --- In the first quadrant

In the fourth quadrant, the value is:

\theta = 360 -30

\theta = 330

So, the values of \theta in degrees are:

\theta = 30^\circ, 330^\circ

Convert to radians (Multiply both angles by \pi/180)

So, we have:

\theta = \frac{30 * \pi}{180}, \frac{330 * \pi}{180}

\theta = \frac{\pi}{6}, \frac{33 * \pi}{18}

\theta = \frac{\pi}{6}, \frac{11 * \pi}{6}

\theta = \frac{\pi}{6}, \frac{11\pi}{6}

8 0
2 years ago
You are given an n×n board, where n is an even integer and 2≤n≤30. For how many such boards is it possible to cover the board wi
faltersainse [42]

Answer:

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Step-by-step explanation:

The number of cells in a tile is 4. If colored alternately, there are 3 of one color and 1 of the alternate color. To balance the coloring, an even number of tiles is needed. Hence the board dimensions must be multiples of 4.

In the given range, there are 7 such boards:

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3 years ago
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6 0
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What is i30<br> A. 1<br> B. -i<br> C. -1<br> D. i
Iteru [2.4K]
C) -1 is the answer to this question
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3 years ago
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Can someone please help me with this
solmaris [256]

Step-by-step explanation:

sum of all angles = 360

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