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3 years ago

Determine the value of a so that A = 2i+aj+k and B = 4i-2j-2k are perpendicular

1 answer:

7 0

In order to make them perpendicular, their dot product must result in zero. so:

$4 \times 2 - 2a - 2 \times 1 = 0$

$2a = 8 - 2 = 6$

$a = 3$

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Se arrastra un bloque de 18 kg a través de una superficie con una fuerza de 300 N en donde el coeficiente de fricción de dicha s

ozzi

Answer:

$10.9\ \text{m/s}^2$

Step-by-step explanation:

m = Masa del bloque = 18 kg

F = Fuerza en el bloque = 300 N

$\mu$ = Coeficiente de fricción = 0.6

El equilibrio de fuerzas del sistema viene dado por

$F-f=ma\\\Rightarrow 300-0.6\times 18\times 9.81=18a\\\Rightarrow a=\dfrac{300-0.6\times 18\times 9.81}{18}\\\Rightarrow a=10.9\ \text{m/s}^2$

La aceleración del bloque es $10.9\ \text{m/s}^2$ .

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3 years ago

What is the greatest value shown on the box-and-whisker plot?

Rainbow [258]

The greatest value shown on the dot and whisker plot is c. 50

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3 years ago

Determine, to one decimal place, the length, width & height of the rectangular prism that would have the greatest volume, wi

Leya [2.2K]

Answer:

The length = The width = The height ≈ 5.8 cm

Step-by-step explanation:

The volume of a rectangular pyramid, V = l × w × h

The surface area of the pyramid = 2 × l × h + 2 × w × h + 2 × l × w = 200

∴ l × h + w × h + l × w = 200/2 = 100

We have that the maximum volume is given when the length, width, and height are equal and one length is not a fraction of the other. Therefore, we get;

At maximum volume, l = w = h

∴ l × h + w × h + l × w = 3·l² = 100

l² = 100/3

l = 10/√3

Therefore, the volume, v = l³ = (10/√3)³

The length = The width = The height = 10/√3 cm ≈ 5.8 cm

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3 years ago

What conclusions can you draw from the distances that you recorded in question 7

mezya [45]

Answer:

If corresponding vertices on an image and a preimage are connected with line segments, the line segments are divided equally by the line of reflection. That is, the perpendicular distance from the line of reflection to either of the corresponding vertices is the same. Line is a perpendicular bisector of the connecting line segments.

Step-by-step explanation:

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3 years ago

Read 2 more answers

Inga divided two identical rectangles into equal parts. She colored one part of each rectangle.

likoan [24]

Answer:

The areas are equal.

Step-by-step explanation:

Let the first rectangle be R and

the second rectangle be R'.

Sine R and R' are identical, their lengths are equal and their breadths are equal.

So, if Inga divided each into equal parts, then each part of both rectangles are equal.

Hence, the colored parts of both rectangles are equal.

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3 years ago

Determine the value of a so that A = 2i+aj+k and B = 4i-2j-2k are perpendicular​

Determine the value of a so that A = 2i+aj+k and B = 4i-2j-2k are perpendicular