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san4es73 [151]
3 years ago
5

5.

Mathematics
1 answer:
WINSTONCH [101]3 years ago
5 0

Answer:

Step-by-step explanation:

The triangles are not similar. Looking at the diagram, triangle STU is smaller than triangle PQR. If they are similar, it would mean that

ST/PQ = TU/QR = SU/PR

This means that there would be a scale factor. Substituting, the values, it becomes

ST/PQ = 7/9 = 0.78

TU/QR = 10/15 = 0.67

SU/PR = 8/12 = 0.67

Therefore, since

ST/PQ ≠ TU/QR ≠ SU/PR

The triangles are not similar.

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Answer:

2a+3b+5=20

Step-by-step explanation:

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Write the equation in function form (solved for y alone) 2y - 8x = 6.
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Answer:

Move all terms that don't contain  y  to the right side and solve.

y  =  3  +  4 x

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The bar diagram represents 24 hours in one day and shows a mark at 30%. If you sleep 30% of the day, how many hours do you sleep
Sedbober [7]
30% = 3/10

Number of hours you sleep = 24hours × 3/10
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2 years ago
Simplify the expression (2h+1)(8)
Elza [17]

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16h+8

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(2h+1)(8)

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8 0
3 years ago
The picture shows the footprints of a man walking. The pace length P is the distance between the rear of two consecutive footpri
Rina8888 [55]

Bernard’s walking speed is 140 meters per minute

Bernard’s walking speed is 8.4 kilometers per hour

Step-by-step explanation:

The pace length P is the distance between the rear of two consecutive footprints

The formula, n P = 140, gives an approximate relationship between n and P where,

  • n = number of steps per minute
  • P = pace length in meters
  • Bernard knows his pace length is 0.80 meters
  • The formula applies to Bernard’s walking

We need to calculate Bernard’s walking speed in meters per minute and in kilometers per hour

∵ n = number of steps per minute

∴ n unit is number / minute

∵ P = pace length in meters

∴ P unit is meter

- That means n P unit is meters/minute

∴ n P represents the speed in meters per second

∵ The formula applies to Bernard’s walking

∵ His pace length is 0.80 meters

∵ n P = 140

∴ n(0.8) = 140

- Divide both sides by 0.8

∴ n = 175

- That means he moves 175 steps per minute

∵ The distance he walks in minute = 175 × 0.8 = 140 meters/minute

∴ His speed is 140 meters per minute

Bernard’s walking speed is 140 meters per minute

∵ 1 km = 1000 m

∵ 1 hour = 60 minutes

- Divide the meters by 1000 and the minute by 60 to change

   from meters per minute to kilometers per hour

∴ His walking speed = \frac{140}{1000} ÷ \frac{1}{60}

- Change ÷ to × and reciprocal the fraction after the division sign

∴ His walking speed =  \frac{140}{1000} × \frac{60}{1} = 8.4 km/h

Bernard’s walking speed is 8.4 kilometers per hour

Learn more:

You can learn more about the speed in brainly.com/question/5461619

#LearnwithBrainly

7 0
3 years ago
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