Answer:
120
Step-by-step explanation:
The number of ways to select things from a group of things is given by the combination formula.
Where n! means n*(n-1)*(n-2)....
- There are 10 total books, so n = 10
- you have to choose 3 books, so r = 3
Plugging these into the formula gives us:
Hence, there can be 120 different groups of 3 books that u can choose from 10 books total.
Step-by-step explanation:
No, the LaTeX that the app uses starts and ends with the [ tex ] and [/ tex ] tags (without the spaces). In (1), simply remove the \latex tag and the integral will appear in embedded form:
This is meant to maintain the line spacing. If you want show the full size of the integral (or in display mode), add the \displaystyle tag after the [ tex ] like this
[ tex ]\displaystyle \int_a^b f(x)\, dx[/ tex ]
and the integral will look like this
after removing the spaces in the [tex] tag. This works also for sums and product of a series and limits.
Answer:
18
Step-by-step explanation:
We will try to find the angle on the left side of the small triangle. So we have to use Tan.
SOHCAHTOA
TanФ = 12/8
= 12/8 = 56.31°
So the other one is 33.69° It's the top left one of the smaller triangle.
The top right side of the bigger triangle is 56.31 because they both add up to make 90°
Now that we have an angle of the bigger triangle we will find the x.
Tan 56.31 = x/12
x = 18
Theres probably a easier way but i dunno
Answer:
The slant height of the cone affected is two times the slant height of original cone
Step-by-step explanation:
we know that
If the height and base radius of a cone are increased by a factor of to create a similar cone
then
the scale factor is equal to
therefore
the slant height of the cone affected is equal to the slant height of the original cone multiplied by the scale factor
Find the slant height of the original cone
Let
l-----> slant height of original cone
la-----> slant height of the cone affected
Applying the Pythagoras theorem
so
The slant height of the cone affected is two times the slant height of original cone
(I GOT THIS FROM SOMEONE ELSES ANSWER IN 2017 SO I HOPE THIS HELPS)