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liubo4ka [24]
3 years ago
9

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

Mathematics
1 answer:
Digiron [165]3 years ago
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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What is the arc length of the arc sub tended in a circle with radius 6 and an angle of 7 pi/ 8
KengaRu [80]

Answer:

Formula for the Arc length is given by:

\text{Arc length} = 2 \pi r \cdot \frac{\theta}{360^{\circ}}

As per the statement:

radius of circle(r) = 6 units

Angle (\theta) = \frac{7 \pi}{8} radian

Use conversion:

1 rad = \frac{180}{\pi}

\frac{7 \pi}{8} = \frac{180}{\pi} \cdot \frac{7 \pi}{8} = \frac{1260}{8} = 157.5^{\circ}

then;

substitute these given values we have;

Use value of \pi = 3.14

\text{Arc length} = 2\cdot 3.14 \cdot (6) \cdot \frac{157.5^{\circ}}{360^{\circ}}

or

\text{Arc length} = 2\cdot 3.14 \cdot (6) \cdot 0.4375

Simplify:

\text{Arc length}=16.485

Therefore, the arc length of the arc substended in a circle with radius 6 units an angle of 7 pi/8 is 16.485 units

7 0
3 years ago
Help!
Olin [163]

Answer:

2/16

1/8

Step-by-step explanation:

8/1=8

2/16=0.125 which is equal to 1/8

2/14=1/7

1/8=1/8 is 2/16 simplified so they are the same

14/2=7

6 0
3 years ago
What is the circumference of a circle with a radius of 2.5 meters?
Hitman42 [59]

Answer:

15.71m

Step-by-step explanation:

circumference of a circle = 2πr

where r = 2.5m

where π = 3.142

we have,

2*3.142*2.5 = 15.71m

therefore the circumference of a circle with a radius 2.5m = 15.71 m

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Which pair of angles is a pair of corresponding?
Agata [3.3K]

Answer:

3 and 8 is a pair of corresponding.

8 0
3 years ago
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Plss help!!Need this ASAP!!Daniel began filling an empty swimming pool
beks73 [17]

Answer:

15 hours

Step-by-step explanation:

To find the gallons per hour: 230/5=46, this means that it take 46 gallons per hour, you add 46 to 230, and you do that 15 times and you'll get 920. The pool will be filled at 11:00 pm.

5 0
4 years ago
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