Answer:
Perimeter = 180
Area = 1080
Step-by-step explanation:
Perimeter is length of all sides added together. 30+78+72 = 180
Area is the length times the height/2 for a triangle. 30*72/2 = 1080
I hope this helped <3
Answer:
Step-by-step explanation:
Given the following simplified expressions:
4√3, 3 3√2, 2 3√3, 3√5
It's radical equivalent is :
4√3 = √4² * √3 = √16 * √3 = √16*3 = √48
3 3√2 = 3 * √3² * √2 = √9 * √2 = √9*2 = 3√18
2 3√3 = 2 * √3² * √3 = √9 * √3 = √9*3 = 2√27
3√5 = √3² * √5 = √9 * √5 = √9*5 = √45
Answer:
(3√26, 0)
Step-by-step explanation:
Finish your work by evaluating the sine and cosine. The imaginary part corresponds to the y-coordinate in (x, y) form.
3√26(cos(360°) +i·sin(360°)) = 3√26(1 +0i)
In rectangular form, that is ...
(3√26, 0)
For quadratics, these formulas are used mainly for factoring.
Your equation can be written as ...
... 2(x² +2x -3) = 0
You factor this by looking for factors of -3 (c=x1·x2) that add to give +2 (b=-(x1+x2)). These are {-1, +3}, so the factorization is ...
... 2(x -1)(x +3) = 0
The roots are then 1 and -3, which sum to -b = -2.
(You will note that the numbers used in the binomial factors are the opposites of the roots x1 and x2 in the Viete's Formulas. That is how we can look for them to sum to "b", rather than "-b".)
Answer) 7/24
This picture should help you understand how I got the answer