Can someone please explain how to solve this problem(31)

Mathematics

1 answer:

pogonyaev4 years ago

4 0

Answer:

(-1.92, 1.08)

Step-by-step explanation:

The incenter is the center of the largest circle that can be inscribed in the triangle. That circle is called the incircle. The incenter is at the point of intersection of the angle bisectors. For a right triangle, the inradius (the radius of the incircle), is found from a simple formula:

r = (a + b - c)/2 . . . . . where c is the hypotenuse, and a and b are the legs

In your triangle, the inradius is ...

r = (5 + 3 -√(5² +3²))/2 = 4 -√8.5 ≈ 1.08452

Among other things, this means the coordinates of the incenter are about (1.08, 1.08) from the right angle vertex, so are about ...

incenter ≈ (-1.92, 1.08)

You might be interested in

PLEASE HELP ME! I DON'T UNDERSTAND THIS

Marrrta [24]

Answer:
The system is composed of these two inequalities combined
y <= -x+4
y >= (1/3)x

-----------------------------------------------------------------------

Explanation:

The solid line has the boundary equation y = -x+4
This line goes through (0,4) and (4,0). Using the slope formula, we find that m = -1. Plugging m = -1 and (x,y) = (0,4) into y = mx+b leads to y = -x+4

The shading is below the solid line so we change the equal sign to a "less than or equal to" sign, which leads us to y <= -x+4

That takes care of the first inequality. We must use "or equal to" as part of the inequality to ensure the boundary is solid

------------

The second inequality is y > (1/3)x as the boundary line is y = (1/3)x. This line goes through (0,0) and (3,1). The slope is 1/3 and y intercept is 0

The boundary is a dashed line. This means we don't have "or equal to" as part of the inequality

7 0

3 years ago

The number of days in a month is measured in the ones. A. True B. False

fgiga [73]

Answer:

False

Step-by-step explanation:

It is pretty simple

7 0

3 years ago

Read 2 more answers

I'll give brainiest. A theater has 384 seats. Each row has 16 seats. The area model represents this situation.What is the value