The answer should be B. you combine the like terms. when it is a negative sign in front of the parenthesis, when removing the parenthesis, every term inside the parenthesis need to change sign, negative to positive, positive to negative.
Answer:
- Long leg = 10√3
- Short leg = 10
- Hypotenuse = 20
Step-by-step explanation:
<u>Concept: </u>
Here, we need to know the idea of a special triangle 30-60-90.
A special right triangle is a right triangle with some regular feature that makes calculations on the triangle easier, or for which simple formulas exist.
The ratio between the corresponding side of each angle is 1 : √3 : 2
If you are still confused, please refer to the attachment below for a graphical explanation.
<u>Solve:</u>
30-60-90 ⇔ 1 : √3 : 2
Given the side corresponding to 90° is 20
30° : 90° = 1 : 2
30° : 20 = 1 : 2
30° = 10
30° : 60° = 1 : √3
10 : 60° = 1 : √3
60° = 10√3
Hope this helps!! :)
Please let me know if you have any questions
Answer:
b
Step-by-step explanation:
CR and DS are perpendiculars dropped from AB to PQ , and AB is perpendicular to CR and DS
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?
The 5 is on the ten thousand place.
