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vazorg [7]
4 years ago
14

Find the angle between the given vectors to the nearest tenth of a degree. u = <8, 4>, v = <9, -9> (5 points)

Mathematics
1 answer:
alexdok [17]4 years ago
6 0
There are a number of ways to do this. One way is to use a graphics program to measure it.

The angle is 71.6°.

Another way is to divide the vectors and look at the angle of the result.
  (8 +4i)/(9 -9i) = (8 +4i)(9 +9i)/162
  = 36 +108i
So the angle is
  arctan(108/36) ≈ 71.565° ≈ 71.6°

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Refer to the attachment.

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3 0
3 years ago
Will give brainliest The table represents the recommended exercise intensity for an aerobic program based on the number of visit
vodka [1.7K]

Answer:

The answers are B, D, E

B.) 66%, 69%, 72%

D.) 63%, 65%, 67%

E.) 67%, 72%, 77%

Step-by-step explanation:

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4 years ago
Each of 12 refrigerators of a certain type have been returned to a distributor because of the presence of a high pitched oscilla
Bond [772]

Answer:

a) P(X = 5) = 0.04397

b) The probability that X exceeds its mean by more than 1 standard deviation = P(z > 1) = 0.159

Step-by-step explanation:

a) This question can be solved using binomial distribution function formula

Using Binomial,

P(X = x) = ⁿCₓ pˣ qⁿ⁻ˣ

n = total number of sample spaces = number of refrigerators to be examined before getting 5 refrigerators with defective compressors = 6

x = Number of successes required = 5

p = probability of success = probability of examining a refrigerator with defective compressor out of the total 12 = 5/12 = 0.4167

q = probability of failure = probability of examining a refrigerator without defective compressor out of the total 12 = 1 - (5/12) = 7/12 = 0.5833

P(X = 5) = ⁶C₅ (0.4167)⁵ (0.5833)⁶⁻⁵

P(X = 5) = ⁶C₅ (0.4167)⁵ (0.5833) = 1(0.01256)(0.5833) = 0.04397

P(X = 5) = 0.04397

b) The probability that X exceeds its mean by more than 1 standard deviation represents Z-score of z > 1

Using the normal distribution tables,

P(z > 1) = 1 - P(z ≤ 1) = 1 - 0.841 = 0.159

3 0
4 years ago
What is the surface area of the tent?​
anyanavicka [17]

Answer:

Area of 1 Right angle triangle= 1/2* 3*4= 6

Area of both triangle= 6*2= 12

Area of rectangle= 8*5= 40

Area of Both rectangles= 40*2= 80

Total surface area= (12*2)+ 80= 24+80= 104

3 0
3 years ago
Read 2 more answers
30. Write an equation in point-slope form for the line through the given point with the given slope. (-7,9); m=4/5
tamaranim1 [39]

Equation in point-slope form is y-9=4/5(x+7)

Option C is correct.

Step-by-step explanation:

We need to Write an equation in point-slope form for the line through the given point with the given slope. (-7,9); m=4/5

The formula used for point-slope form is:

y-y_1=m(x-x_1)

We are given slope m = 4/5

Point (-7,9) where x₁ = -7 and y₁ = 9

Putting values in the formula:

y-y_1=m(x-x_1)\\y-9=4/5(x-(-7))\\y-9=4/5(x+7)

So, equation in point-slope form is y-9=4/5(x+7)

Option C is correct.

Keywords: Equation of line using Slope  

Learn more about Equation of line using Slope at:

  • brainly.com/question/9369548
  • brainly.com/question/4932386
  • brainly.com/question/4819659
  • brainly.com/question/4097107

#learnwithBrainly

3 0
4 years ago
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