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viktelen [127]
3 years ago
7

The diagonal of a cube is 28 cm. Identify the length of an edge. Round to the nearest tenth, if necessary. HELP PLEASE!!

Mathematics
1 answer:
makkiz [27]3 years ago
8 0

Answer:

16.2\ cm

Step-by-step explanation:

we know that

The diagonal of a cube is equal to

D=b\sqrt{3}

where

b is the length of an edge of the cube

we have

D=28\ cm

substitute

28=b\sqrt{3}

b=28/\sqrt{3}=16.2\ cm

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Which of the following are the coordinates of the vertex of y = −x2 + 2x + 1? (2, 1) (1, –2) (1, 2) (–2, 1)
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Answer:

C

Step-by-step explanation:

We want to determine the vertex of the quadratic equation:

\displaystyle y = -x^2 + 2x + 1

Recall that the vertex is given by the formulas:

\displaystyle \text{Vertex} = \left(-\frac{b}{2a}, f\left(-\frac{b}{2a}\right)\right)

In this case, <em>a</em> = -1, <em>b</em> = 2, and <em>c</em> = 1.

Determine the <em>x-</em>coordinate of the vertex:

\displaystyle x = -\frac{(2)}{2(-1)} = 1

To determine the <em>y-</em>coordinate, evaluate the function at <em>x</em> = 1:

\displaystyle \begin{aligned} y(1)&= -(1)^2 + 2(1) + 1 \\ &= 2\end{aligned}

In conclusion, the vertex of the quadratic equation is (1, 2).

Hence, our answer is C.

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Your beginning balance on your lunch account is $42. You buy lunch for $1.80 every day and sometimes buy a snack for $0.85. Afte
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Answer:

The answer to your question is: I bought 7 snacks

Step-by-step explanation:

Data

beginning balance = $42 = b

lunch = $1.80  = l

snack = $ 0.85  = s

final balance = $0.05 = f

                        f = b - 1.8l - 0.05s

                     0.05 = 42 - 1.8l - 0.85s

After 20 days I spent = 1.8(20) in lunches = $36

                    0.05 = 42 - 36 - 0.85s

                   0.05 = 6 - 0.85s

                  0.05 - 6 = -0.85s

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                  s = -5.95/-0.85

                  s = 7

         

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