Answer:
6 ft
Step-by-step explanation:
Since the distance between the bottom of the ladder and the wall forms a right angle that is across from the ladder, you can use the Pythagorean Theorem to solve for the value of 'x':
a² + b² = c², where 'a' and 'b' are the legs of the triangle and 'c' is the diagonal or hypotenuse.
Using 8 for 'a' and 10 for 'c':
8² + x² = 10²
64 + x² = 100
Subtract 64 from both sides:
64 - 64 + x² = 100 - 64 or x² = 36
Take the square root of both sides:
√x² = √36
x = 6 ft
Answer:
B. 2/3
Step-by-step explanation:
To solve this we have to take into account this axioms:
- The total probability is always equal to 1.
- The probability of a randomly selected point being inside the circle is equal to one minus the probability of being outside the circle.
Then, if the probabilities are proportional to the area, we have 1/3 probability of selecting a point inside a circle and (1-1/3)=2/3 probability of selecting a point that is outside the circle.
Then, the probabilty that a random selected point inside the square (the total probability space) and outside the circle is 2/3.
Answer:
4(30 +1)= 4(30) + 4(1)
Step-by-step explanation:
The property states a(b+c)= ab+ac.
30 and 1 equals 31, then you just plug the two numbers into the equation.
Answer:
Blank 1 = 53 + 90 = 143
Blank 2 = 143 - 229 = -86
Blank 3 = 0 - 86 = 86