The hundred thousand place is the number that is 6 times to the right of the decimal:
In this case that number is 2
Answer:
Step-by-step explanation:
If you're looking for what the half angle of the tangent of theta is, I'm a bit confused as to why you think the angle in the 4th quadrant, x, is relevant. But maybe you don't know it isn't and it's a "trick" to throw you off. Hmm...
Anyways, the half angle identity for tangent is

There are actually 3 identities for the tangent of a half angle, but this one works just as well as either of the others do, so I'm going with this one.
If theta is in QIII, the value of -4 goes along the x axis and the hypotenuse is 5. That makes the missing side, by Pythagorean's Theorem, -3. Filling in our formula:
which simplifies a bit to
and a bit more to

Bring up the lower fraction and flip it to divide to get
which of course simplifies to
-3. Choice A.
Answer:if you double all of the dimensions of a rectangular prism, you create a similar prism with a scale factor of 2. The surface area of the similar prism will increase as the square of the scale factor (22 = 4) and the volume will increase as the cube of the scale factor (23 = 8).
Step-by-step explanation:
Options were missing in the question;
A water cup is shaped like a cone. It has a diameter of 3 inches and a slant height of 5 inches. About how many square inches of paper do you need to make a cup? Use 3.14 to approximate pi.
24 square inches
31 square inches
47 square inches
52 square inches
Answer:
24 square inches
Step-by-step explanation:
Given:
Diameter = 3 in
So we can say that;
Radius is half of diameter.
radius (r) = 
Slant height (l) = 5 in
We need to find how many square inches of paper do you need to make a cup.
Solution:
Now according to question we required to find the amount of paper used to make cup.
Also Water cup is shaped liked cone.
Hence we can say that the base of cone is not covered since it will remain open.
So we will use Lateral surface area of the cone to find the paper requirement.
Now we know that;
Lateral surface area of cone is equal to π times radius times slant height.
framing in equation form we get;

Hence We can say that 24 square inches of paper will be needed to make the cup.