If DE = 10 in. and GH = 4 in., what is the length of the radius? Round to the nearest tenth. A 5.4 in. B 6.4 in. C 10.8 in. D 29.0 in.

6.4

Step-by-step explanation:

A. 5.4 in

Step-by-step explanation:

At the top of the line segment GH, you can see it ends on Circle D's circumference. Therefore, if you made a line segment from D to G, its length would be the radius. Lines DE and GH are perpendicular and make a 90 degree angle, so you can make line DG a hypotenuse, use pythagoreans theorem, and find the radius. However, since they intersect at a halfway point, you have to divide 10 and 4 by 2. 10/2 = 5  4/2 = 2   5^2 + 2^2 = r^2

5^2 = 25 and 2^2 = 4, so 29 = r^2. The square root of 29 is 5.385, or 5.4 inches.

I got a bit lazy answering this, but I hope it helps!

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.