It goes into it 0 times but what you can do is 11 going into 12 which would give you 1.1 instead of you making it a remainder. <span />
Step-by-step explanation:
volume of the cyclinder=πr²h
=π×6²×12
=432π cm³
volume of a cone=1/3πr²h
=1/3π×9×8
=24π cm³
number of cones=432π/24π=18 cones
The triangle in the drawing is semi equilateral. Therefore a=√(14^2-7^2)=12.12 cm
The base of a regular pyramid consists of 6 equilateral triangles. The area of each triangle is: (14*12.12)/2 = 84.87 cm^2
The base: 6*84.87=509.22 cm^2
What you're looking at in this image are two alternate exterior angles.
Alternate exterior angles, are, essentially, exterior angles of a transversal that runs through two parallel lines. These angles are on alternating sides. These angles, assuming the lines are parallel, must be equal.
There's a proof behind why these angles are equal, but I won't bore you with the specifics as the question doesn't require it.
So - we know that these two angles must be equal to prove that the lines A and B are parallel. Knowing this, we can write an equation:
5x + 20 = 3x + 60
<u>Subtract 20 from both sides:</u>
5x + 20 - 20 = 3x + 60 - 20
5x = 3x + 40
<u>Subtract 3x from both sides:</u>
5x - 3x = 3x - 3x + 40
2x = 40
x = 20
If you have any questions on how I got to the answer, just ask!
- breezyツ
U have to substitute in the values of x to get the values of y
answers in order from left to right:
4.5, 4, 3.5, 3, 2.5, 2
ex of solving process:
x+2y=7
(-2)+2y=7
2y=9
y=4.5
