We know that the diameter of a circle is a line that begins on one point of a circle and ends on the opposite side. We also know that the radius is a point on the circle that starts from that point and ends at the center. Therefore, the radius would be half the diameter.

$13/2 = 6.5$

Hope this helped :D!

5 0

2 years ago

What is the solution to |x – 5| + 2 < 20?

stepladder [879]

Answer:

Step-by-step explanation:

hello :

|x – 5| + 2 < 20 means : |x – 5| + 2-2 < 20-2

|x – 5| < 18

-18< x - 5 < 18

-18+5< x - 5+5 < 18+5

-13< x< 23 ( solutions)

3 0

1 year ago

Use trigonometric identities to solve the trigonometric equation sin(2∅)-cos(∅)=0 for 0≤∅≤2π. You must show all of your work ana

SOVA2 [1]

Step-by-step explanation:

sin(2x) = 2sin(x)cos(x)

2sin(x)cos(x) - cos(x) = 0

so one solution is cos(x) = 0.

=> x = pi/2 and 3pi/2 (90° and 270°)

for cos(x) <> 0 we have then

2sin(x) - 1 = 0

2sin(x) = 1

sin(x) = 1/2

=> x = pi/6 and 5pi/6 (30° and 150°)

3 0

1 year ago