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aivan3 [116]
3 years ago
12

Maria works in a factory that produces new cars. She is having trouble with one of the machines. In order to work properly, the

two gears in the machine must be perpendicular. Maria makes some adjustments and wants to know if the two gear shifts are aligned correctly. The new directional vectors of the gears are:g1= 5i -j+2k g2=I-3j-4k
Mathematics
1 answer:
Dovator [93]3 years ago
3 0

Answer:

Maria did her job properly. Both gears are perpendicular.

Step-by-step explanation:

Recall that given vectors a and b, they are perpendicular if and only if a\cdot b =0. If a=(a_1,a_2),b=(b_1,b_2). Then a\cdot b = a_1b1_+a_2b_2.

IN our case a=(5,-1,2) and b) (1,-3,-4). So,

a\cdot b = 5\cdot 1 + (-1)\cdot(-3) + 2\cdot(-4) = 5+3-8 =0

So both gears are perpendicular.

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A bag contains 14 gray, 7 black and 10 white marbles. A marble is drawn at random. What is the theoretical probability, as a dec
Dahasolnce [82]
The probability of drawing a black marble is 7/31 or .226 or 22.581%. To find the probability of these type of questions, add all together to get 31, then since there are 7 black marbles the probability would be 7/31.
6 0
1 year ago
A regular hexagon has an area of 750.8 cm. The side length is 17 cm. Find the apothem.
kompoz [17]

Since, a regular hexagon has an area of 750.8 square cm and The side length is 17 cm.

We have to find the apothem of the regular hexagon.

The formula for determining the apothem of regular hexagon is s \div {{2 \tan (\frac{180}{n})}, where 's' is any side length of regular hexagon and 'n' is the number of sides of regular hexagon.

So, apothem = 17 \div {2 tan(\frac{180}{6})

= 17 \div {2 tan(30)

= 17 \div {1.15}

= 14.78 units

Therefore, the measure of apothem of the regular hexagon is 14.7 units.

Option B is the correct answer.

5 0
3 years ago
Got them.... I think the war is finally over..
lisabon 2012 [21]

Answer:

LOL THAT CAT POOR CAT

Step-by-step explanation:

nothing to see here

7 0
3 years ago
I don’t know the answer to that one can you help me please
dybincka [34]

Answer:

16/45

Step-by-step explanation:

Step 1:  When dividing fractions, use “KFC”.  It means Keep the first fraction, Flip the second one, and  

              Change it to multiplication

-4/20 ÷ -9/16    →    -4/20 ∙ 16/-9

Step 2:  Reduce any fractions if necessary, it makes multiplying them easier and you will have to reduce anyway at the end.  It’s easier arithmetic to reduce at this step.  The first fraction reduces because both the numerator and denominator are divisible by 4.  

-1/5  ∙   16/-9    

Step 3:  Multiply numerators and denominators together to get one fraction

(-16)/(-45)  

Step 4:  Cancel out the negatives, a negative divided by a negative is a positive.  Our final answer is

 

16/45  


4 0
3 years ago
A bag contains 2 red marbles, 3 green marbles, and 4 blue marbles.
Fantom [35]

Answer:

0.083333333333 or 8.3%

Step-by-step explanation:

3/9x2/8

The second fractions has a demoninator of 8 bc u already took one from the bag and didnt return it

7 0
3 years ago
Read 2 more answers
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