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DedPeter [7]
1 year ago
5

Rachel rides her bike due east at 9 miles per hour. Amos rides his bicycle due north at 12 miles per hour. If they left from the

same point at the same time, how far apart will they be in 1 hour? Geometry and measurement :))) help please.
Mathematics
1 answer:
Svetach [21]1 year ago
5 0

They will be 15 miles apart after one hour if they left the same point at the same time.

<h3>How do we measure and calculate the distance in Geometry?</h3>

The distance between two points in geometry can be calculated by using the Pythagoras theorem.

Mathematically, the Pythagoras theorem can be expressed as:

\mathbf{d = \sqrt{x^2 +y^2}}

where;

  • x and y are opposite and adjacent sides respectively.

\mathbf{d = \sqrt{(9)^2 +(12)^2}}

\mathbf{d = \sqrt{81+144}}

\mathbf{d = \sqrt{225}}

d = 15 miles  

Therefore, we can conclude that they will be 15 miles apart after one hour if they left the same point at the same time.

Learn more about calculating the distance between two points here:

brainly.com/question/7243416

#SPJ1

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400 children and 600 adults bought tickets.

Step-by-step explanation:

Given,

Cost of one child ticket = $14

Cost of one adult ticket = $32

Total attendance = 1000

Revenue generated = $24800

Let,

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y be the number of adults.

According to given statement;

x+y=1000   Eqn 1

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Multiplying Eqn 1 by 14

14(x+y=1000)\\14x+14y=14000\ \ \ Eqn\ 3

Subtracting Eqn 3 from Eqn 2

(14x+32y)-(14x+14y)=24800-14000\\14x+32y-14x-14y=10800\\18y=10800\\

Dividing both sides by 18

\frac{18y}{18}=\frac{10800}{18}\\y=600

Putting y=800 in Eqn 1

x+600=1000\\x=1000-600\\x=400

400 children and 600 adults bought tickets.

Keywords: linear equations, subtraction

Learn more about subtraction at:

  • brainly.com/question/547255
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Hey there!

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