Fun, geometry disguised as probability.
That's a pentagon, which we can view as 10 right triangles with legs a and s/2 (half of s) and hypotenuse r. So area of the pentagon is
P = 10 × (1/2) a (s/2) = 10 (1/2) (3.2) (4.7/2) = 37.6
The area of the circle is πr² so the circle area is
C = π (4²) = 50.265482
The white area is the difference, C-P, and the probability we seek is the fraction of the circle that's white, so (C-P)/C.
p = (C-P)/C =1-P/C = 1-37.6/50.265482 = 0.251971
Answer: 0.25
Higher than I would have guessed from the figure.
Answer:
She did not consider the multiplicative inverse property of a real number
Step-by-step explanation:
Jacinta in her conclusion did not consider the Multiplicative Inverse property of real numbers.
Let x be an irrational number.
So, 
If x is an irrational number, then its reverse is also an irrational number. So by the Multiplicative Inverse property their product is 1 and 1 is a rational number. Thus, Jacinta was incorrect.
Answer:
127.253 m^3
Step-by-step explanation:
To find the volume, we start by getting the area of the square base
Mathematically, that will be 4.9^2 m^2
To complete the volume, we multiply the area of the base by the height
= 4.9^2 * 5.3 = 127.253 m^3
Answer:
The answer is 3.
Step-by-step explanation:
Given that the Indices Law is,
So the expression is :
Answer:
47.75 + x Less-than-or-equal-to 50
= 47.75 + x ≤ 50
Step-by-step explanation:
Solving the above Question:
Not going over the 50 pound case mean, less than or equal to 50 pounds
Let the extra pound of weight be represented as x
Hence, the inequality equation that can be used to determine how much more weight can be added to the suitcase without going over the 50-pound weight limit =
47.75 + x ≤ 50
