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lawyer [7]
3 years ago
6

a cyclist rides his bike at a rate of 12 miles per hour. What is the rate in miles per minute? How many miles will the cyclist t

ravel in 15 minutes? Do not round your answers.
Mathematics
1 answer:
Zina [86]3 years ago
6 0

Answer/Step-by-step explanation:

Given:

12 Miles per Hour = (12 Miles = 1 Hour)

(1 Hour = 60 Minutes)

What is the rate in miles per minute?

60 Minutes x 12 Miles = 720 Miles

How many miles will the cyclist travel in 15 minutes?

12 Miles ÷ 100 = 0.12

0.12 x 15 Minutes = 1.8 Miles

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The diagram shows 5cm×5cm×5cm cube calculate the length of the diagonal ab
mario62 [17]

Answer:

AB = 5\sqrt{3} cm

Step-by-step explanation:

As we can see from the figure, BCDE is a square with each corner equal to 90°.

So that, BDE is a right triangle with corner BED equal to 90°

As BDE is a right triangle, according to Pythagoras theorem, we have:

         BD^{2} = BE^{2} +ED^{2} = 5^{2} + 5^{2} = 25 + 25 = 50cm

As the diagram s the cube, so that it can be seen that AD is perpendicular to the surface BCDE

=> AD is perpendicular to BD

=> ADB is the right triangle with corner ADB equal to 90°.

As ADB is the right triangle, ccording to Pythagoras theorem, we have:

AB^{2} =AD^{2} + BD^{2} = 5^{2} +50 = 25 +50 = 75 cm

=> AB = \sqrt{75}  = 5\sqrt{3} cm

Conclusion: AB = 5\sqrt{3}cm

4 0
3 years ago
6 builders can build 10 houses. How many number of houses can 18 builders build?
rewona [7]

Answer:6 x 30 =18 x ex

180= 18 ex

ex =180/18

number of days = 10

Step-by-step explanation:

3 0
3 years ago
Lyme disease is an inflammatory disease that results in a skin rash and flulike symptoms. It is transmitted through the bite of
neonofarm [45]

Answer:

Step-by-step explanation:

Let cases of Lyme disease = x

x = 2, 1, 3, 4, 5, 1, 2, 1, 6, 5, 4, 1

\sum x = 35

\sum x^2 = 139

y = 0, 1, 2, 1, 3, 5, 2, 3, 3, 3, 1, 0

\sum y = 24

\sum y^2 = 72

\sum xy = 55

S_{xx} = \sum x^2 - (\sum x)^2/n\\S_{xx} = 139 - 35^2/12\\S_{xx} = 36.92\\S_{yy} = \sum y^2 - (\sum y)^2/n\\S_{yy} = 72 - 24^2/12\\S_{yy} = 24

S_{xy} = \sum xy - ( \sum x \sum y)/n\\S_{xy} = 55 - (35*24)/12\\S_{xy} = -15

b) Linear correlation between Lyme disease and drowning deaths.

r = \frac{S_{xy}}{\sqrt{S_{xx}S_{yy}} }

r = -15/ √(24*36.92)

r = -0.504

3 0
3 years ago
ok I know this is easy to graph but I just want to know what they mean about describing a rule. Fred family already has two dogs
zhannawk [14.2K]
The describing the rule means to explain how they get to the next result then the next result then the next it is what has to happen to get to the next answer ... I hope this helps !! :)
3 0
3 years ago
5x−2.5+6x−3= ___ (2x−1)<br><br><br> someone help me with this q.<br><br> will mark brainliest~
cestrela7 [59]

Answer:

5.5

Step-by-step explanation:

So, this is a simple factoring problem. The answer is 5.5(2x-1). So, heres how we get that answer.

So, factoring is basically breaking down the problem into smaller parts. So once we simplify the problem, we can factor it.

  • Simplify by combining like terms: 5x+6x= 11x and -2.5-3=-5.5
  • Now we have 11-5.5=?
  • so, we need to have (2x-1) in our answer because the problem asks for that in the answer.
  • We need to find a number that satisfies the equation and answer
  • so, 5.5(2x) is 11x, and 5.5(-1) is 5.5.
  • 5.5 satisfies the equation, therefore is the answer
3 0
3 years ago
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