Answer:
x = 5
Step-by-step explanation:
The equation of a line is given by :
y=2x+2.5
Where
y is cost and x is number of tickets
Put y = $12.5 in the above equation
So,
12.5=2x+2.5
10 = 2x
x = 5
So, he can purchase 5 tickets.
Answer:
Cone
Step-by-step explanation:
Options:
a) Cone b) Cube
c) Cylinder d) Triangular prism
From the given options (a) to (d), option (a) is true.
This is so, because.
The volume (V) of a cone is:

This is as a result of dilating the cylinder by 1/3 whose volume is:

In other words:

<em>i.e. the cross-section of the cylinder (V2) being dilated by 1/3 (which is between 0 and 1) gives the cone (V1)</em>
Hey there! :D
The biggest thing to remember here is the similar triangles and their side lengths.
Okay, so we can separate these triangles into 3 similar triangles. Which, we only need to do that to two for a proportion, but if you were to have more variables, you could separate the triangles even more if you needed to.
We want to find two triangles that have "x" has a value of their side, so we can solve a proportion.
The bigger triangle, (the whole two triangles combine) and the smaller triangle on the left can be used to make a proportion.
On the smaller triangle:
We have 9 cm on the shorter side and x as the hypotenuse.
On the larger triangle:
We have x as the shorter side, and then 25 as the hypotenuse. (9+16)
Note: You have to flip the larger triangle upside down to make it a similar structure to the other two triangles. It is similar, you just have to flip it.
So, now we can make a proportion.

Now, cross multiply.
9*25= 225
x*x=

So, find the square root.
√225= 15
x= 15. I hope this helps!
~kaikers
Answer:
-√6 -0.95 √32/8 4/5 2.9 √9
Step-by-step explanation:
4/5, √9, -0.95, √32/8, 2.9, - √6
4/5 = 0.8
√9 = 3
√32/8 = 4√2 / 8 = √2/2 = 0.707
-√6 = -2.449
-√6 -0.95 √32/8 4/5 2.9 √9