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4 years ago

9

What solid would a pyramid resemble if the polygonal bases had a million sides?

1 answer:

astraxan [27]4 years ago

7 0

The more sides the base of the pyramid has, the more the polygonal base resembles a circle, and the more the whole pyramid resembles an ellipsoid.

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Sara tried to evaluate 21 : 7 x 8 step-by-step

nlexa [21]

Answer: Sara multiplied by 3 when she should have multiplied by 8.

Step-by-step explanation:

21 : 7*8

7*8 = 56

21 : 56

The simplest form of this ratio is 3 : 8

6 0

3 years ago

8x+2y=-2<br> y=-5x+1<br> Solve for x and y

sp2606 [1]

X = 2
y = -9
16 - negative 18 = -2

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3 years ago

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What are the coordinates of the centroid of a triangle with vertices A(−3, 1) , B(1, 6) , and C(5, 2) ? Enter your answer in the

kirza4 [7]

<u>ANSWER</u>: The centroid is (1,3)

<u>Explanation:</u>

The centroid is the intersection of the medians of the triangle.

So we need to find the equation of any two of the medians and solve simultaneously.

Since the median is the straight line from one vertex to the midpoint of the opposite side, we find the midpoint of any two sides.

We find the midpoint of AC using the formula;

$N=(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})$

$N=(\frac{-3+5}{2}, \frac{1+2}{2})$

$N=(\frac{2}{2}, \frac{3}{2})$

$N=(1, \frac{3}{2})$

The equation of the median passes through $B(1,6)$ and $N=(1, \frac{3}{2})$ .

This line is parallel to the y-axis hence has equation

$x=1$ -------first median.

We also find the midpoint M of BC.

$M=(\frac{1+5}{2}, \frac{6+2}{2})$

$M=(\frac{6}{2}, \frac{8}{2})$

$M=(3, 4)$

The slope of the median, AM is

$Slope_{AM}=\frac{4-1}{3--3}$

$Slope_{AM}=\frac{3}{6}$

$Slope_{AM}=\frac{1}{2}$

The equation of the median AM is given by;

$y-y_1=m(x-x_1)$

We use the point M and the slope of AM.

$y-4=\frac{1}{2}(x-3)$

$2y-8=(x-3)$

$2y-x=-3+8$

$2y-x=5$ -------Second median

We now solve the equation of the two medians simultaneously by putting $x=1$ in to the equation of the second median.

$2y-1=5$

$2y=5+1$

$2y=6$

$y=3$

Hence the centroid has coordinates $(1,3)$

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3 years ago

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Which statement about the polygons is true?

tatyana61 [14]

Polygon A is similar to Polygon B because Polygon B is a dilation of Polygon A.

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3 years ago

Estimate how to find 15% tip on $9.79 explain your thoughts

uranmaximum [27]

(15/100) then multiply that with 9.79 and you get $1.4685, which is the answer

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3 years ago

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