A piece of buttered toast falls to the floor 17 times. The toast landed buttered side up 6 times. What is the probability that t
1 answer:
Step-by-step explanation:
Given that,
A piece of buttered toast falls to the floor 17 times. The toast landed buttered side up 6 times.
It means that the total number of outcomes are 17
We need to find the probability that the toast lands buttered side down. Favourable oucome is 17-6 = 11
So, probability is given by :
So, the probability that the toast lands buttered side down is 11/17.
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Answer:
Step-by-step explanation:
To find the area of an equilateral triangle, we can apply a formula.
The side length is given a.
Plug a in the formula as the side length.
Answer:
Reason: the sum of all interior angles of any triangle is equal to 180º.
Step-by-step explanation:
1) Organizing
Statement 1. m∠H = 30°, m∠J = 50°, m∠P = 50°, m∠N = 100° 1. Reason: given
2) Since the sum of all internal angles of any triangle is equal to 180º, just like the formula. N the number of sides of a triangle:
3) We can also say
Similarly to the other triangle:
4) Hence,
Reason: The sum of interior angles is equal to 180º.
Answer:
Ix = Iy = a^4 / 12
Ixy = a^4 / 24
Step-by-step explanation:
Solution:-
- Sketch the right angled isosceles triangle as shown in the attachment.
- The density (ρ) is a multivariable function of both coordinates (x and y).
ρ ( x, y ) = k*(x^2 + y^2)
Where, k: coefficient of proportionality.
- The lamina and density are symmetrical across the line y = x. (see attachment). The center of mass must lie on this line.
- The coordinates of centroid ( xcm and ycm) are given by:
- The coordinates of xcm = ycm, they lie on line y = x.
- Calculate the mass of lamina (m):
- Calculate the Moment (My):
- Calculate ( xcm = ycm ):
xcm = ycm = ( ka^5 /15 ) / ( ka^4/6) = 2a/5
- Now using the relations for Ix, Iy and I: We have:
Ix = bh^3 / 12
Iy = hb^3 / 12
Where, h = b = a .... (Right angle isosceles)
Ix = Iy = a^4 / 12
Ixy = b^2h^2 / 24
Ixy = a^4 / 24
