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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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2 cm on a map are equal to 3 km in real life. If two points are 8 cm apart on the map, how far apart are they in real life?
Andrej [43]
They are 24 km apart
3 0
3 years ago
ANSWER PLEASE A rectangle's length and width are in a ratio of 9:1. The perimeter is 100 inches. What are the length and width?
iren [92.7K]

The length of rectangle is 45 inches and width is 5 inches.

Step-by-step explanation:

Given,

Perimeter = 100 inches

The ratio of length and width = 9:1

It means that 9 times of any number and 1 times of any number will be the original length, therefore,

Let,

x be the that number.

Length = 9x

Width = 1x

Perimeter = 2(Length+width)

100=2(9x+x)\\100=2(10x)\\100=20x\\20x=100

Dividing both sides by 20

\frac{20x}{20}=\frac{100}{20}\\x=5

Length = 9x = 9*5 = 45 inches

Width = x = 5 inches

The length of rectangle is 45 inches and width is 5 inches.

Keywords: rectangle, perimeter

Learn more about perimeters at:

  • brainly.com/question/13018923
  • brainly.com/question/13035995

#LearnwithBrainly

5 0
4 years ago
How many three-fourths are in 3?
shutvik [7]
Four three -fourths are in three
7 0
4 years ago
No links please.....
Harlamova29_29 [7]

Answer:

the circumference is 2.25675833π

simplify how you want

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Calculate the unpaid balance, finance charge, and new balance using the unpaid balance method. Note: interest rate is given as a
quester [9]

Previous balance = $291.96

Payments/credits = $45.00

Unpaid balance = $ 291.96 - $45.00 = $ 246.96

Monthly Interest rate = 1.5 %

Finance charge = 1.5 % of $ 246.96= $3.70

Total balance to be paid when Finance charge is included = $ 246.96 + $3.70= $ 250.66

New purchases = $103.98

New balance =  $ 250.66 + $103.98 = $ 354.64


8 0
3 years ago
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