<u>Answer:</u>
A red marble out of the same jar, without replacing the first marble.
<u>Step-by-step explanation:</u>
Dependent events are those which involve a first event which affects the outcome of the second event.
This means that the probability of the second event changes because of the occurrence of the first event.
So if a blue marble is drawn out of one jar, then drawing a red marble out of the same jar, without replacing the first marble would be an example of dependent events.
The prime factors of 12 are : 2 x 2 x 3.....and 3 is the largest
4 1/3 is a mixed number because it has a whole number and a fraction.
Wow this is a doozy! First you have to figure out what is it you are looking for? If you make a dot in the center of the triangle (which is also the center of the circle) and draw a line from the center to one of the vertices of the triangle you have the radius of the triangle and also of the circle. If you draw all 3 radii from the triangle's center to its vertices, you see you have created 3 triangles within that one triangle. The trick here is to figure out what your triangle measures are as far as angles go. If we take the interior measures of those 3 triangles, we get that each one has a measure of 120 (360/3=120). So that's one of your angles, the one across from the side measuring 6. Because of the Isosceles Triangle theorem, we know that the 2 base angles have the same measure because the sides are the same. Subtracting 120 from 180 gives you 60 which, divided in half, makes each of those remaining angles measure 30 degrees. So if we extract that one triangle from the big one, we have a triangle with angles that measure 30-30-120, with the base measuring 6 and each of the other sides measuring 5. If we then split that triangle into 2 right triangles, we have one right triangle with measures 30-60-90. Dropping that altitude to create 2 right triangles not only split the 120 degree angle at the top in half, it also split the base side of 6 in half. So our right triangle has a base of 3 and we are looking for the hypotenuse of that right triangle. WE have to use right triangle trig for that. Since we have the top angle of 60 and the base of 3, we can use sin60=3/x. Solving for x we have x=3/sin60 which gives us an x value of 3.5 inches rounded from 3.464. I'm not sure what you mean by a mixed number unless you mean a decimal, but that's the radius of that circle.
Can you post this and provide a picture please so I can help you ?
Explanation:
Answer:
line QR
Step-by-step explanation:
Plane QRB is the front face. Plane TSR is the top face. The planes intersect at the top front edge, line QR.
