Answer:
1/12
Step-by-step explanation:
P(5) = number of 5's on the die / total sides
P (5) = 1/6
P ( tails) = number of tails/ total
= 1/2
P (5, then tails)= P (5) *P ( tails)
= 1/6 * 1/2
= 1/12
Answer:
It can be decomposed into the following simplest shapes:
TWO RECTANGLES AND ONE TRIANGLE
Step-by-step explanation:
You can observe in the picture attached that it can be decomposed into the following simplest shapes:
Two Rectangles.
One Triangle.
Because,
The area of the a rectangle can be found with:
A= lw
Where "l" is the length and "w" is the width.
You can identify in the picture that:
lA: 14 ft
Wa: 13ft -7ft= 6ft
1b= 20 ft
wb= 7ft
So, Substituting the values, you get that the areas of the rectangles A and B are:
Aa: (14ft) (6ft)= 84ft²
Ab: (20ft) (7ft) = 140ft²
The formula for the area of a triangle is:
A= 
Where "b" is the base and "h" is the height.
In this case:
b= 20ft- 14ft= 6ft
h= 6ft
Then, its area is:
Ac =
which iis 18ft²
Then, it will bring the total area of carpet that Valerie needs:
At= Aa+ Ab+ Ac
At= 84ft² + 140ft² + 18ft²
At= 242²
Hypothenus = sqrt ((x^2 - y^2)^2 + (2xy)^2) = sqrt(x^4 - 2x^2y^2 + y^4 + 4x^2y^2) = sqrt(x^4 + 2x^2y^2 + y^4) = sqrt(x^2 + y^2)^2 = x^2 + y^2
Answer:
x (15 y + 6) is equivalent to 3x(2+5y)
In multiplying fractions, you don't need a common denominator.
3/8 * 6/1 = 18/8
I multiplied the numerator by the other numerator and multiplied the denominator by the other denominator
Now we have to simplify 18/8, the number 2 can go into both numbers
9/4 is the final answer.