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Naddik [55]
3 years ago
10

Wich points are 4 units apart? (Image provided)

Mathematics
1 answer:
Andrew [12]3 years ago
6 0

Answer:

D, B

Step-by-step explanation:

D is 4 units above B

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Find f(-5) if f(x)=|x+1|
Grace [21]
F(x)=|x+1|
f(-5)=|-5+1|
f(-5)=|-4|
f(-5)=4. As a result, f(-5)=4 is the correct answer. Hope it help!
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A rectangle has a length 10 more than its width. If the width is increased by 8 and the length by 4, the resulting rectangle has
Aleks [24]

The Solution to the problem of the rectangle is given below

For Part A:

  • equation model: (14 + w) * (w +8) = 132
  • Length = 15

For Part B

  • Perimeter = 46

Meaning of Perimeter

The perimeter of any shape can be defined as the total sum of the sides of the shape.

<h3>Analysis</h3>

For Part A

equation model= (14 + w) * (w +8) = 135

14w + 112 + 8w + w^{2} = 135

w^{2} + 22w - 23 = 0

solving the quadratic equation

w = -23 or 1

Because we are dealing with a physical quantity we will make use of the value 1

lenght of original rectangle = 10 + 1 = 11

Part B

Perimeter= 2(length) * 2 (breadth) = 2(11 + 4) * 2 (1 + 8)

Perimeter = 48

In conclusion, The Solution to the problem of the rectangle is given above.

Learn more about Perimeter: brainly.com/question/19819849

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2 years ago
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The point (8, –15) is on the terminal side of an angle θ. What is sin θ ?
katen-ka-za [31]
Let's calculate the hypotenuse of this right triangle:

(Hypotenuse)² = 8² + 15² = 289, Hypotenuse = √289 = 17.

a) If Ф is facing the largest side (15), then sinФ = opposite side / hypotenuse
and sinФ = 15/17 = 0.8823

b) If Ф is facing the smallest  side (8), then sinФ = opposite side / hypotenuse
and sinФ = 8/17 = 0.4705
7 0
3 years ago
Mopeds (small motorcycles with an engine capacity below 50 cm3) are very popular in Europe because of their mobility, ease of op
Mashcka [7]

Answer:

a) P(X<50)=0.9827

b) P(X>47)=0.4321

c) P(-1.5<z<1.5)=0.8664

Step-by-step explanation:

We will calculate the probability based on a random sample of one moped out of the population, normally distributed with mean 46.7 and standard deviation 1.75.

a) This means we have to calculate P(x<50).

We will calculate the z-score and then calculate the probability accordign to the standard normal distribution:

z=\dfrac{X-\mu}{\sigma}=\dfrac{50-46.7}{1.75}=\dfrac{3.7}{1.75}=2.114\\\\\\P(X

b) We have to calculatee P(x>47).

We will calculate the z-score and then calculate the probability accordign to the standard normal distribution:

z=\dfrac{X-\mu}{\sigma}=\dfrac{47-46.7}{1.75}=\dfrac{0.3}{1.75}=0.171\\\\\\P(X>47)=P(z>0.171)=0.4321

c) If the value differs 1.5 standard deviations from the mean value, we have a z-score of z=1.5

z=\dfrac{(\mu+1.5\sigma)-\mu}{\sigma}=\dfrac{1.5\sigma}{\sigma}=1.5

So the probability that maximum speed differs from the mean value by at most 1.5 standard deviations is P(-1.5<z<1.5):

P(-1.5

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3 years ago
A homeowner plans to hang wallpaper on one wall of the bedroom that is 10ft long,if a strip of wall is 20 inches wide and strips
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Convert 10 ft to inches by multiplying it by 12. That’s 120 inches. Divide this number by 20 inches per strip to get 6 strips needed.

3 0
3 years ago
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