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Lady_Fox [76]
3 years ago
8

Find a ⋅ b. a = <5, 2>, b = <4, 5>

Mathematics
1 answer:
cestrela7 [59]3 years ago
6 0

Answer:

  30

Step-by-step explanation:

For a = <xa, ya> and b = <xb, yb>, the dot product is the sum of products ...

  a·b = (xa)(xb) + (ya)(yb)

Substituting the given information, you have ...

  a·b = 5·4 + 2·5 = 20 + 10

  a·b = 30

_____

Some graphing calculators can do such math. There are also dot product calculators available on the Internet. If you have quite a few of these to calculate, you can put the appropriate formula into a spreadsheet.

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Carle is cutting pieces of string that are exactly 24 3/8 inches long. How many pieces can she cut from a ball of string that ha
Fantom [35]
Convert feet to inches
100ft=12*100 =1200 inches

convert 24 and 3/8 to improper fraction
24 and 3/8=24+3/8=192/8+3/8=195/8
195/8 times number of pieces=1200
times bothsides by 8/195 to clear fraction (195/8 times 8/195=1560/1560=1)
number of pieces=9600/195
number of pieces=49.23someting
she can cut 49 complete pieces and 1 partial piece

she can cut 50 pieces but 1 of them is shorter than 24 and 3/8 and therefor doesn't count

she cut 49 pieces
7 0
3 years ago
A watermelon seed is 0.4cm long. How far would a line of 126 stretch?
nikdorinn [45]

Answer:

0.504m

Step-by-step explanation:

First, we would multiply 0.4cm by 126 watermelon seeds to find the length of the line in cm.

0.4*126

= 50.4cm

Therefore, the line of watermelon seeds stretches 50.4cm.

Now, because the question wants us to type the answer in meters, we must convert 50.4cm into meters. We do this by dividing 50.4 by 100 since 100cm makes up 1 meter.

50.4/100

= 0.504m

Therefore, the line of watermelon seeds stretches 0.504m.

I hope this helps!

6 0
2 years ago
Question is -4x + 14 = 54
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Answer: x = -10

Step-by-step explanation:

5 0
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bulgar [2K]
The independent variable of an equation is x, or something u can change. in linear equations, for example, it is y=3x+4. and  x is the independent variable cause most of the time u will plug in or substitute a number for x. 
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