Answer:
because It's rounded to the nearest hundred place
Step-by-step explanation:
Given equation:
recall that,
remember, <em>In </em>is natural logarithm which is actually nothing but common logarithm with the base euler's number (<em>e)</em><em> </em>. anyway rewriting lnx=-3 yields:
1/e³ is approximately 0.0497870684..... , rounding it to the nearest hundred place would be 0.05 which is the same answer as your textbook .
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.
Answer:
The volume of a sphere varies with the cube of the radius. Since the Earth is 3.67 times the moon's radius (6371/1736), it has 49.4 times the volume.
Hope this helps...Mark as brainliest pls!!
Answer:
Segment BC = 36 mm or 3.6 cm
Step by Step Explanation:
There are 10 mm in 1 cm
meaning that segment AC is 40 mm long
if AB is 4 mm and it is one part of the two, then we need to subtract that from the total to find out what is left.
40 - 4 = 36
Segment BC = 36 mm or 3.6 cm
First find your slope! by doing
y2-y1/x2-x1
in this case it would be
2-(-3)/-1-(-6)
It would give you 5/5 which would reduce to 1 meaning your slope equals 1
with your slope now you should use the point slope formula y-y1=m(x-x1)
i’m going to use the point (-1,2) so the equation would be
y-2=1(x-(-1))
simplifying that you would get
y-2=1x+1
then put it in y=mx+b form and get
y=x+3
