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Fiesta28 [93]
4 years ago
11

If u is a unit vector, find u · v and u · w. (assume v and w are also unit vectors.) equilateral triangle

Mathematics
1 answer:
serg [7]4 years ago
5 0

solution:

we know that ,

u.v = ΙuΙ ΙvΙcosθ

here,

θ =60° (since the given triangle is equilateral triangle)

u.v = ΙuΙ ΙvΙcos60°

     = 1 x 1 x 1/2

u.v = 1/2

now, u.w = ΙuΙ ΙwΙcosθ

              = ΙuΙ x cos(60x2)

u.w = -1/2


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3. The minimum payment on a credit card is based on the total amount owed. A credit card company uses
shutvik [7]

Answer:

The answer is below

Step-by-step explanation:

The minimum payment on a credit card is based on the total amount owed. A credit card company uses the following rules: For a bill less than $20 the entire amount is due, for a bill of at least $20 but less than $500, the minimum due is $20. For a bill of at least $500 but less than $1000 the minimum due is $40 and for a bill of at least $1000 but less than $1500 the minimum due is $80 dollars. For a bill of $1500 or more the minimum due is 1/10th of the bill.

a. Write a function to describe the minimum payment due.  

b. What is the minimum payment due if the bill is $345?  

c. What is the minimum payment due if the bill is $1410?  

d. What is the minimum payment due if the bill is $1700?

Solution:

Let B represent the minimum due payment for a bill in dollars and let x represent the bill in dollars. Therefore:

For x < 20, B = x

For 20 ≤ x < 500, B = 20

For 500 ≤ x < 1000, B = 40

For 1000 ≤ x < 1500, B = 80

For x ≥ 1500, B = (1/10)x

a)

B(x)=\left \{ {{x\ \ \ x

b) For 20 ≤ x < 500, B = 20

Therefore if the bill is $345 (x = 345), the minimum payment due would be $20

c) For 1000 ≤ x < 1500, B = 80

Therefore if the bill is $1410 (x = 1410), the minimum payment due would be $80

d) For x ≥ 1500, B = (1/10)x

Therefore if the bill is $1700 (x = 1700), the minimum payment due would be $170 (1/10 * 1700)

7 0
3 years ago
At Lakeview middle school,there are 2 homeroom teachers assigned to every 48 students. is the number of stuff at this school pro
Zielflug [23.3K]
Yes becuase constant rate will be 24/1
and when you keep subtracting 1 to the x value & and 24 to y value it will end with 0,0 meaning its proportion
6 0
3 years ago
I was doing my homework and got confused on this question.
spayn [35]

We will determine the length of the segment DF as follows:

*We have that the triangles are similar, and therefore the following is true:

\frac{2}{1.34}=\frac{4}{DF}

Now, we solve for DF:

\Rightarrow DF=\frac{1.34\cdot4}{2}\Rightarrow DF=2.68

From this, we have that the length of the segment DF equals 2.68 units.

4 0
2 years ago
Find the exact solution to the equation below 5^(9-3x)= 125
Troyanec [42]
X=2 because 5^3=125 and there you are
7 0
4 years ago
Read 2 more answers
How many times could you expect to roll a number that is not 5 if you rolled a standard die 360 times?
Alinara [238K]

The number of times I would expect to roll a number that is not a 5 is 300 times.

<h3>What is the number of times a 5 won't be rolled?</h3>

A standard die has 6 faces. There are 5 numbers that are not 5 on a standard die. They are 1, 2, 3, 4, 6.

The number of times a 5 won't be rolled = (5/6) x 360

5 x 60 = 300 times

To learn more about a standard die, please check: brainly.com/question/20376457

#SPJ1

6 0
2 years ago
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