This question has this set of answer choices:
a) when the plane cuts three faces of the cube, separating one corner from the others
b) when the plane passes through a pair of vertices that do not share a common face
c) when the plane is perpendicular to the base and intersects two adjacent vertical faces
d) when the plane makes an acute angle to the base and intersects three vertical faces
e) not enough information to answer the question
The right answer is the first choice: a) when the plane cuts three faces of the cube, separating one corner from the others
You can see a picture of this case in the figure attached: as you can see the cross section (in pink) is a triangle.
Answer:
$30
Step-by-step explanation:
30 % + 10 % = 40 %
40 % of $50 = $20
%50 - $20 = $30
Answer:
y=3x-2
Step-by-step explanation:
No, these equations are not equivalent.
1/5, or one fifth, is part of a whole. Imagine you have a pie, cut into five pieces, and your friend comes over and eats four pieces, so now you have one of the five original pieces. That's what you have here.
5/5, or five fifths, is a whole. any number divided by itself is automatically one, so it is like making another pie and cutting it into five pieces, only this time no one eats any of it because it's burned or something. At the end, you have five pieces of pie
5/1 is actually just another way of writing plain old 5. To keep the pie example rolling, you have five pies, and no one eats any of these either, so they are all yours. You have 5 pies divided between one person, so at the end of the day you have 5 whole pies.
Hope that helped!
Answer:
right-handed gloves and
left-handed gloves were sold.
Step-by-step explanation:
Given: In one month,
gloves were sold for a total revenue of
.
right-handed gloves cost
and left-handed gloves cost
.
To find: How much of each type of gloves did they sell?
Solution: Let they sell
right-handed gloves, and
left-handed gloves.
Now, cost of each right-handed gloves 
cost of each left-handed gloves 
Total revenue 
So, we get

Also, in a month
gloves were sold.
So, we get

Now, from
we get,
.
Putting
in equation
, we get






Now, putting
in equation
, we get



Hence,
right-handed gloves and
left-handed gloves were sold.