Answer:
The volume of a cone is given by the equation:
where
r is the radius of the cone
h is its height
We have several examples of cones in real life: for instance, the cone of an ice-cream, it has a conic shape.
The volume of a prism instead is given by:
where:
l is the length of the base
w is the width of the base
h is the height of the prism
Again, we have several examples of prisms in daily life: for example, boxes have usually the form of a prism, so it can be useful to know their size in order to calculate their volume.
To finish the demonstration that the quadrilateral JKLM is a rhombus we need to prove that side JK is congruent with side LM.
The length of a segment with endpoints (x1, y1) and (x2, y2) is calculated as follows:
![\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}](https://tex.z-dn.net/?f=%5Csqrt%5B%5D%7B%28x_2-x_1%29%5E2%2B%28y_2-y_1%29%5E2%7D)
Substituting with points L(1,6) and M(4,2) we get:
![\begin{gathered} LM=\sqrt[]{(4-1)^2+(2-6)^2} \\ LM=\sqrt[]{3^2+(-4)^2} \\ LM=\sqrt[]{9+16^{}} \\ LM=5 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20LM%3D%5Csqrt%5B%5D%7B%284-1%29%5E2%2B%282-6%29%5E2%7D%20%5C%5C%20LM%3D%5Csqrt%5B%5D%7B3%5E2%2B%28-4%29%5E2%7D%20%5C%5C%20LM%3D%5Csqrt%5B%5D%7B9%2B16%5E%7B%7D%7D%20%5C%5C%20LM%3D5%20%5Cend%7Bgathered%7D)
Given that opposite sides are parallel, all sides have the same length, and, from the diagram, the quadrilateral is not a square, we conclude that it is a rhombus.
Taxation is how much the government taxes you
Answer:
original price = 260
Step-by-step explanation:
original price * percent off = discount
then subtract the discount
original price - discount = new price
so
original price - original price * percent off = new price
factor out the original price
original price( 1- percent off) = new price
original price = new price/ ( 1- percent off)
lets put in what we know
original price = 182/(1-.30)
original price = 182/(.7)
original price = 260
Answer:
x = -5
Step-by-step explanation:
2x-3+3x= -28
combine like terms
5x -3 = -28
add 3 to each side
5x-3+3 = -28+3
5x = -25
divide each side by 5
5x/5 = -25/5
x = -5
