Answer:
4.66
Step-by-step explanation:
Cause 4 would be 4.0 and then you take 100 and divide by the denominator and you get .33 for every 1/3. Since you have 2/3 it would be .66, then your answer would be 4.66
He will expect to reach base 35%*150 times, or .35*150=52.5 times. Although you cannot "reach base half of a time", this is the expected value for the amount of times he would reach base in this situation.
The equation to this is A 5X+4Y=-20
When something bisects an angle, it cuts that angle in half. This means that ray BD cuts angle ABC in half. Therefore, angle ABD, which is formed by cutting the angle in half, is equal to angle CBD, which is also formed by cutting the angle in half. Because of this, you have to set the equation equal to each other.
9x-18=5x+2
Combine like terms. Add 18 to both sides.
9x=5x+20
Combine like terms. Subtract 5x from both sides.
4x=20
Divide 4 on both sides.
x=5 degrees
Answer:
16 feet
Step-by-step explanation:
The length of the ladder=20 feet
Distance from the base of the ladder to the house = 12 feet
You will notice that a wall is vertical and the ladder makes an angle with the horizontal ground(making it the hypotenuse). This is a right triangle problem.
To find the how far up the house can the ladder can reach, we simply find the third side of the right triangle.
From Pythagoras theorem

The third side of the right triangle is 16. Therefore the ladder leans 16 feet from the ground.