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castortr0y [4]
3 years ago
12

HELP DUE IN 10 MINS! Use the Pythagorean Theorem to solve for x.

Mathematics
2 answers:
irakobra [83]3 years ago
8 0

Answer:

  • B. 5sqrt(2)

Step-by-step explanation:

  • x² = 4² + (√34)²
  • x² = 16 + 34
  • x² = 50
  • x = √50
  • x = 5√2
Elan Coil [88]3 years ago
5 0

\huge\large \fbox \green{Answer :}

B. 5sqrt(2)

\huge\Large \fbox \green{Explanation:}

We have

  • first side of triangle = √34

  • second side of triangle = 4

We need to find third side of triangle

  • let , the third side of triangle is x

( x)² = (√34 )² + (4)² ....( by Pythagoras Theorem)

x ² = 34 + 16

x ² = 50

x = √50

x = 5 √2

Hence, the third side is 5√2

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A bicyclist traveled with a speed of 12 km/h from a camping ground to a station, located 60 km away. Write a formula expressing
yawa3891 [41]

1. The formula expressing the dependence of the variable s on t is: s = 60 - 12t

2. the distance travelled at time t = 3.5 h is 18 Km

<h3>What is speed? </h3>

Speed is the distance travelled per unit. Mathematically, it can be expressed as:

Speed = distance / time

<h3>1. How to determine the formula expressing the dependence of the variable s on t</h3>

From the question given, bicyclist traveled with a speed of 12 km/h from a camping ground to a station, located 60 km.

Thus, we shall determine the distance travel in time t as follow

  • Speed = 12 Km/h
  • Time = t
  • Distance in time t = ?

Speed = distance / time

12 = distance / t

Cross multiply

Distance = 12 × t

Distance in time t = 12t

But the total distance travelled is 60 Km. Thus, the remaining distance (s) from the bicyclist to the station at time (t) will be given as:

s = 60 - 12t

Thus, the formula expressing the dependence of the variable s on t is: s = 60 - 12t

<h3>2. How to determine the distance at t = 3.5 hours</h3>

The distance at t = 3.5 hours can be obtained as illustrated below:

  • Time (t) = 3.5 hours
  • Distance (s) = ?

s = 60 - 12t

s = 60 - (12 × 3.5)

s = 60 - 42

s = 18 Km

Thus, the distance travelled at t = 3.5 hours is 18 km

Learn more about speed:

brainly.com/question/680492

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Square root of 32-6√15​
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does this help

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