To find the area of a rectangle, simply multiply the length by the width.
2/5 * 1/3 = 2/15
So, the area is 2/15.
The value of 0-((5)(-1)+(5)(-2)+(5)(-3)+(5)(-4)) is -40
<h3>What are integers?</h3>
An integer is a whole number (not a fractional number) that can be positive, negative, or zero.
Given:
0-((5)(-1)+(5)(-2)+(5)(-3)+(5)(-4))
= 0+5-10-15-20
=5-25-20
= -40
Hence, value of 0-((5)(-1)+(5)(-2)+(5)(-3)+(5)(-4)) is 40.
Learn more about integers here:
brainly.com/question/1768254
#SPJ1
These are the formulas that will help you determine which type of triangle they are:
a^2+b^2 < c^2 ----> Obtuse Triangle
a^2+b^2 > c^2 ----> Actue Triangle
a^2+b^2 = c^2 ----> Right Triangle
Okay so now that you know that information, lets get into it :)
a. 5 in, 6 in, 7 in
You're going to take the smallest numbers, 5 and 6, and add them, if it equals a larger number than 7 then its a triangle and you have to determine if its an obtuse, right or acute triangle. In this case it is a triangle because 5 + 6 = 11 aka larger than 7.
The way you'll set this up is:
5^2 + 6^2 = 7^2
solve
25+36=49 -----> 25+36=61
61 > 49 or a^2 + b^2 > c^2
61 > is greater than 49
If you look ate the formulas that are above, this is an acute triangle.
b. 18 in, 9 in, 12 in
In this question, 9 and 12 are the smallest numbers that equal 21 and 21 is larger than 18 so, this is a triangle.
9^2 + 12^2 = 18^2
Solve
81 + 144 = 324 ----> 81 + 144 = 225
225 < 324 or a^2+b^2 < c^2
225 < is less than 324
If you look ate the formulas that are above, this is an obtuse triangle.
Something to just remember:
Sometimes you'll get a question which is like,
4 in, 5 in, 10 in
In this situation, if you add the smallest numbers which are, 4 and 5, you get 9, which is less than the larger number you have, 10. That means it is not a triangle. Just something to be aware about :)
I hope this helped you!
If you sketch the triangle you will see it is a right triangle with B being the vertex for the right angle.
the orthocenter is the intercept of the three altitudes. for a right triangle, the orthocenter is the vertex where the right angle is.
so the answer for this question is (5,0)
Answer:
The answer should be 5.003, you can round if you want to 5
Step-by-step explanation: