The biking portion of the triathlon is 11.7 miles far
Step-by-step explanation:
Let us revise the relation between the two legs of a right triangle and
the hypotenuse
Hypotenuse = 
To find the length of the hypotenuse
1. Square the length of each leg
2. Add the squares of the legs
3. Find the square root of the sum
∵ The legs of the triangle consist of a 4 mile swim and a 11 mile run
∴
= 4
∴
= 11
∵ (
)² = (4)² = 16
∵ (
)² = (11)² = 121
∴ (
)² + (
)² = 16 + 121 = 137
∵ The hypotenuse of the triangle is the biking portion of the event
∵ Hypotenuse = 
∴ Hypotenuse =
= 11.7
The biking portion of the triathlon is 11.7 miles far
Learn more:
You can learn more about Pythagoras Theorem in brainly.com/question/1238144
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Answer:
m∠KML + m∠MLK = m∠JKM
Step-by-step explanation:
we know that
An exterior angle of a triangle is equal to the sum of the opposite interior angles
so
In this problem
m∠JKM ----> is an exterior angle
m∠KML and m∠MLK are the opposite interior angles to m∠JKM
see the attached figure
therefore
m∠KML + m∠MLK = m∠JKM
<h2><u>
Answer:</u></h2>
The area of the poster would be <u>20ft².</u>
<h2><u>
Step-by-step explanation:</u></h2>
- First, double both the length and the width.
LENGTH : 2 x 2 = 4
WIDTH : 2.5 x 2 = 5
- Use these new dimensions to work out the area
4 x 5 = <u>20ft²</u>
Answer:
-2
Step-by-step explanation:
x = r cos θ
y = r sin θ
dx/dθ = -r sin θ + r' cos θ
dy/dθ = r cos θ + r' sin θ
dy/dx = (r cos θ + r' sin θ) / (-r sin θ + r' cos θ)
At θ = π/2, cos θ = 0, sin θ = 1, and r = 1. So the derivative simplifies to:
dy/dx = (r') / (-1)
dy/dx = -r'
dy/dx = -2 sin θ
dy/dx = -2
Step-by-step explanation:
-1,355= -1355/1000
-1,352= -1352/1000