Any triangle with one angle equal to 90⁰ produces a Pythagoras triangle and the Pythagoras equation can be applied in the triangle.
<h3>What is the Pythagoras Theorem?</h3>
The Pythagoras theorem states that if a triangle is right-angled (90 degrees), then the square of the hypotenuse is equal to the sum of the squares of the other two sides.
In △ABD and △ACB,
∠A = ∠A (common)
∠ADB = ∠ABC (both are right angles)
Thus, △ABD ∼ △ACB (by AA similarity criterion)
Similarly, we can prove △BCD ∼ △ACB.
Thus △ABD ∼ △ACB,
Therefore, AD/AB = AB/AC.
We can say that AD × AC = AB².
Similarly, △BCD ∼ △ACB.
Therefore,
CD/BC = BC/AC.
We can also say that
CD × AC = BC².
Adding these 2 equations, we get
AB² + BC² = (AD × AC) + (CD × AC)
AB² + BC² =AC(AD +DC)
AB² + BC² = AC²
Hence proved
Thus, any triangle with one angle equal to 90⁰ produces a Pythagoras triangle and the Pythagoras equation can be applied in the triangle.
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Answer:
- <em>m</em> =
- <em>μ</em> = 20
- <em>σ </em>= 20
The probability that a person is willing to commute more than 25 miles is 0.2865.
Step-by-step explanation:
Exponential probability distribution is used to define the probability distribution of the amount of time until some specific event takes place.
A random variable <em>X</em> follows an exponential distribution with parameter <em>m</em>.
The decay parameter is, <em>m</em>.
The probability distribution function of an Exponential distribution is:
<u>Given</u>: The decay parameter is,
<em>X</em> is defined as the distance people are willing to commute in miles.
- The decay parameter is <em>m</em> = .
- The mean of the distribution is: .
- The standard deviation is:
Compute the probability that a person is willing to commute more than 25 miles as follows:
Thus, the probability that a person is willing to commute more than 25 miles is 0.2865.
2.10 is the answer to the nearest 10th
The expression involving exponents to represent the shaded area in square inches of the diagram is: 6²- (3² + 2²). The shaded area in squares inches of the diagram is: 23 square inches.
<h3>Expression involving exponents and shaded area</h3>
The expression is:
6²- (3² + 2²)
The shaded area:
Shaded area=6²- (3² + 2²)
Shaded area=36-(9+4)
Shaded area=36-13
Shaded area=23 square inches
Therefore the expression involving exponents to represent the shaded area in square inches of the diagram is: 6²- (3² + 2²). The shaded area in squares inches of the diagram is: 23 square inches.
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Answer:
hi! so for perpendicular it's negative reciprocal!
so is -4/3 and 3/4 negative reciprocals?
oh and remember reciprocals are flipped!
if you still don't get it let me know aha