Answer:
Use the Pythagorean theorem
Step-by-step explanation:
The pythagorean theorem is 
where a is a height, b is a height, and c is the hypotenuse, which is the longest side of a triangle. For example, if the triangle has two side with lengths of three and four we would put them into the equation to get:
Simplify the equation to get:
Add 16 and 9 to get 25 and take the square root of both sides:
The sqrt of 25 is 5. Therefore, the length of the hypotenuse, or c, is 5.
Answer:
2/13
Step-by-step explanation:
In a deck of 52 cards, there are 2 sets of red cards. Diamonds and Hearts. In each set of red cards, there are 4 fives. If there are 2 sets, that means that there are 8 red fives in the deck of 52 cards. This means that the probability is 8/52 which is simplified into 2/13.
For this case we have the following numbers:
299
388
Let's round up each of the numbers to the nearest hundred,
We have then:
299 = 300
388 = 400
We note that now we have two numbers whose approximation is easier to add.
We have then:
300 + 400 = 700
Answer:
The sum of 299 + 388 is approximately:
700
Answer:
The solution to the inequality |x-2|>10 in interval notation is given by -8<x<12
Step-by-step explanation:
An absolute value inequality |x-2|>10 is given.
It is required to solve the inequality and write the solution in interval form.
To write the solution, first solve the given absolute value inequality algebraically and then write it in interval notation.
Step 1 of 2
The given absolute value inequality is $|x-2|>10$.
The inequality can be written as
x-2<10 and x-2>-10
First solve the inequality, x-2<10.
Add 2 on both sides,
x-2<10
x-2+2<10+2
x<12
Step 2 of 2
Solve the inequality x-2>-10.
Add 2 on both sides,
x-2>-10
x-2+2>-10+2
x>-8
The solution of the inequality in interval notation is given by -8<x<12.
