PLEASE HELP ME!!! I'M BAD AT GEOMETRY!!!

Mathematics

1 answer:

7nadin3 [17]3 years ago

7 0

Answer:

Manuel would be correct, the volumes would be equal.

Step-by-step explanation:

The formulae for finding the volume of pyramids and cones both include dividing three (multiplying by $\frac{1}{3}$ ).

Square pyramid formula: $\frac{1}{3}$ ×B×h where B is the area of the base. By plugging in numbers we have that B=314.159 and h=5. 314.159× $\frac{1}{3}$ ×5=523.5983.

Cone formula: The basic formula is the same: $\frac{1}{3}$ ×B×h, but the area of the base is found using the circle formula of π×r². For the cone we have B=314.159 and h=5. 314.159× $\frac{1}{3}$ ×5=523.5983.

Since both of these formulas came up with the same answer, we can conclude that Cone W has the same volume as Pyramid X, which is Manuel's answer.

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Graphing<br>solve a system of equation by graphing

Alex787 [66]

SOLUTION:

$Point \ (1,3)$

<h2>Explanation:</h2>

Let's use the following System of Linear Equations in Two Variables in order to solve this exercise:

$\begin{array}{c}(1)\\(2)\end{array}\left\{ \begin{array}{c}y=2x+1\\y=-4x+7\end{array}\right.$

So we can graph these lines using two points.

For eq (1):

$y=2x+1 \\ \\ If \ x=0 \ then \ y=2(0)+1 \therefore y=1 \\ \\ If \ y=0 \ then \ 0=2x+1 \therefore x=-\frac{1}{2} \\ \\ \\ Points: \\ \\ (0,1) \\ \\ (-\frac{1}{2},0)$

So graph a line that passes through these two points. This is the red line shown below.

For eq (2):

$y=-4x+7 \\ \\ If \ x=0 \ then \ y=-4(0)+7 \therefore y=7 \\ \\ If \ y=0 \ then \ 0=-4x+7 \therefore x=\frac{7}{4} \\ \\ \\ Points: \\ \\ (0,7) \\ \\ (\frac{7}{4},0)$