It is three hundred fifty-six thousandths.
The orientation of the ladder with the wall forms a right triangle. The ladder length is the hypotenuse of the triangle, the distance between the ladder at ground level and the base of the wall is the horizontal leg of the triangle, the height of the ladder is the vertical leg of the triangle.
Since we have a right triangle, we can use the Pythagorean theorem.
Let x = the height of the ladder
Write the equation for the Pythagorean theorem using the information.
x2 + 162 = 232
Solving for x, we have
x2 = 232 - 162
x = √(232 - 162)
x = √(529 - 256)
x = √(273)
x = 16.52
The ladder reaches 16.52 feet high.
Answer:
Step-by-step explanation:
Think of <em>f</em>(<em>x</em>). Those numbers in parentheses next to the <em>f</em><em> </em>are x-coordinates, all you have to do is look in the chart and see what y-coordinate they gave you with respect to the given x-coordinates.
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Before you get started, take this readiness quiz.
Write as an inequality: x is at least 30.
If you missed this problem, review (Figure).
Solve 8-3y<41.
If you missed this problem, review (Figure).
Solve Applications with Linear Inequalities
Many real-life situations require us to solve inequalities. In fact, inequality applications are so common that we often do not even realize we are doing algebra. For example, how many gallons of gas can be put in the car for ?20? Is the rent on an apartment affordable? Is there enough time before class to go get lunch, eat it, and return? How much money should each family member’s holiday gift cost without going over budget?
The method we will use to solve applications with linear inequalities is very much like the one we used when we solved applications with equations. We will read the problem and make sure all the words are understood. Next, we will identify what we are looking for and assign a variable to represent it. We will restate the problem in one sentence to make it easy to translate into an inequality. Then, we will solve the inequality.
Emma got a new job and will have to move. Her monthly income will be ?5,265. To qualify to rent an apartment, Emma’s monthly income must be at least three times as much as the rent. What is the highest rent Emma will qualify for?
Answer:
Binomial Problem with n = 20 and p(hire woman) = 1/2
P(at most two) = binomial(20,1/2,2) = 0.0001811
Step-by-step explanation:
The probability of successes in trials where is the probability of success on any given trial is given by:
