Answer:
For the first question, 180 degrees equals to a half of the sphere. For the second question, you need 24 central meridians for a complete sphere, which are exactly the hours in a day.
Step-by-step explanation:
A sphere is basically a 3D circle. As a circle has 360 degrees, 180 degrees would be half of a circle. Imagine you are on a satellite over the north pole or the south pole and you have a way to cut the earth by the middle. You will get two halves of sphere.
About the second question, you may need to have in mind that a day is the time spent for the earth to rotate all 360 degrees over its own axis. British fellow, on XIX century, decided they were the center of the world. As previously, back in the days, some other people decided a day had 24 hours, they decided to draw this lines and divide the earth in 24 pieces, so they could knew which time was on every point their extense kingdom had. As I said, a circle has 360 degrees, (360 degrees)/(24 hours) equals to 15 degrees.
Answer:
The correct answer is the first one listed.
Step-by-step explanation:
First you have to determine what the equation for that circle is. The standard form of a circle is
where h and k are the coordinates of the center and the radius is squared. Using the given info, our equation will look like this:

Now we use the coordinates given and plug in 2 for x and 3 for y and do the math and see if the 2 sides are equal.

and 9 + 16 = 25, right? So that's how you can check the other coordinate pairs to verify that they DON'T work out!
Step-by-step explanation:
the answer is obtuse triangle
Answer: I believe his earnings would be 187$ once he teaches 7 classes.
Step-by-step explanation:
$187-$68=$111
17 x ? = 119
(take the 17$ which is the amount of money he'll earn each class and divide by 111. as seen below:
$111/17$=$6.5 (round to $7)
(you then plug in the 17 for 7 x ? = 119)
7x17=119
now you have to add the 68$ that he will get per month.
119+68=187
then you get 187$ which he had spent on the certificate
PEMDAS. 16/4 = 4. 4+42 = 46. 46-4 = 42. Answer is 42!