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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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Find the volume of each sphere. Round to the nearest tenth.
g100num [7]

Answer:

d. 463246.7

Step-by-step explanation:

V=4 /3πr^3=4/3·π·48^3≈463246.7

5 0
3 years ago
30 drinkers were asked whether they like coffee or tea.
Keith_Richards [23]

Answer:

a)22

b)7

c)8

Step-by-step explanation: its really complicated so ill try my best.

so the say 11 like both coffee and tea so that means that they also added 11 to

the other two sections. so if we take 11 away from 18 we get 7, and that's how many people like coffee and not tea. to get answer c) we need to also subtract 11 from 15, which gets us 4. so we have 11 plus 4 plus 7. and that gets us 22.  so 30 subtract 22 gets us 8 so 8 people don't like tea or coffee. 22 is also the answer to a). did you get that? i hope so

3 0
3 years ago
John's dog Fido is tied to a post in his backyard. Fido's leash is 8.5 feet long. Determine how much circular roaming area Fido
ira [324]

Answer:

227 ft^2

Step-by-step explanation:

Here, we are tasked with calculating the roaming area that Fido has

Calculating this is same as calculating the area of circle that has a radius which is equal to the length of the leash

Mathematically, the area would be

A = π * r^2

A = 3.14 * 8.5^2

A = 226.865 ft^2

To the nearest square foot, this is 227 ft^2

3 0
4 years ago
Plz help<br><img src="https://tex.z-dn.net/?f=%20" id="TexFormula1" title=" " alt=" " align="absmiddle" class="latex-formula">
grandymaker [24]
Cot x= cosx/sinx =√3
tan x= 1/ √3

cos x = √2 /2
x= 45
tan45= 1

tan x= -4/3

csc x= 13/5
1/sin x = 13/5
sin x= 5/13
x=22.62
tan x= 5/12
6 0
4 years ago
Please help me! im literally desperate! math is soooo hard! help me pls &lt;3
MatroZZZ [7]

Answer:

its the multiplication property

Step-by-step explanation:

7 0
3 years ago
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