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Sladkaya [172]
3 years ago
11

If the cube shown above is sliced by a plane to create a rectangle that is not a square, which sets of vertices could the plane

pass through?
A.
2, 4, 6, and 8
1, 3, 5, and 7
3, 4, 7, and 8

B.
2, 4, 6, and 8
1, 3, 5, and 7
1, 4, 6, and 7

C.
2, 3, 5, and 8
1, 2, 4, and 5
3, 4, 5, and 6

D.
2, 4, 5, and 6
2, 3, 6, and 7
2, 4, 6, and 7

Mathematics
1 answer:
Veronika [31]3 years ago
3 0
If I’m sure it should be D or C
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Answer:

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Step-by-step explanation:

This is the answer because:

1) First, convert 2 5/6 to an improper fraction

2 5/6 = 17/6

2) Next divide -2/1 and 17/6

3) The reciprocal of 17/6 is 6/17

4) -2/1 ÷6/17 is -12/17

Hope this helps!

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2 years ago
Find cos(2*ABC) 100POINTS
juin [17]

Answer:

-\dfrac{7}{25}

Step-by-step explanation:

<u>Trigonometric Identities</u>

\cos(A \pm B)=\cos A \cos B \mp \sin A \sin B

<u>Trigonometric ratios</u>

\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}

where:

  • \theta is the angle
  • O is the side opposite the angle
  • A is the side adjacent the angle
  • H is the hypotenuse (the side opposite the right angle)

Using the trig ratio formulas for cosine and sine:

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Therefore, using the trig identities and ratios:

\begin{aligned}\implies \cos(2 \cdot \angle ABC) & = \cos(\angle ABC + \angle ABC)\\\\& = \cos (\angle ABC) \cos (\angle ABC) - \sin(\angle ABC) \sin (\angle ABC)\\\\& = \cos^2(\angle ABC)-\sin^2(\angle ABC)\\\\& = \left(\dfrac{3}{5}\right)^2-\left(\dfrac{4}{5}\right)^2\\\\& = \dfrac{3^2}{5^2}-\dfrac{4^2}{5^2}\\\\& = \dfrac{9}{25}-\dfrac{16}{25}\\\\& = \dfrac{9-16}{25}\\\\& = -\dfrac{7}{25} \end{aligned}

7 0
2 years ago
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Mekhanik [1.2K]
0.13 cents per minute

$50 per month

13 goes into 5,000 = 384

384 minutes per month
6 0
3 years ago
Line SU intersects Line TV at point R. What is the value of x, in degrees?
umka2103 [35]

Answer: X is equal to 30

Step-by-step explanation: I found this by taking 75 + 15 which is 90 then dividing it by 3 so 30. This is correct because since the linear pair is equal to 75 degrees then this also needs to be 75 degrees and 3 x 30 = 90 and 90 - 15 = 75.

Hope this helps.

8 0
3 years ago
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