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3 years ago

the area of the base of a pyramid is 18 square yards. the height of the pyramid is 5 yards what is the volume of the pyramid

Mathematics

1 answer:

nikitadnepr [17]3 years ago

3 0

V=areax height
v=18x5
v=90

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Which sequences of transformations will map circle M onto circle N?

sergiy2304 [10]

Answer:

1: Reflect M across the x-axis

2: Dilate about the center by 3/2

Step-by-step explanation:

Given

See attachment for M and N

Required

Which maps M to N

The coordinates of the radius of the circles are:

$M = (5,5)$

$N = (5,-5)$

And the radius of circles are:

$r_M=2$

$r_N=3$

The first transformation from M to M' is:

- Reflect across the x-axis

The rule is:

$(x,y) \to (x,-y)$

$M(5,5) \to M'(5,-5)$

At this point, M' and N now have the same center but different radius.

The second transformation from M' to N is:

- Dilate about the center by dividing the radius of N by the radius of M

i.e.

$k =\frac{r_N}{r_M}$

$k =\frac{3}{2}$

At this point, M has been completely mapped to N.

4 0

3 years ago

Davis Construction is building a new housing development. They begin by mapping the development out on a coordinate grid. They p

Mandarinka [93]

$\bf \textit{middle point of 2 points }\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
&({{ -4}}\quad ,&{{ -1}})\quad 
% (c,d)
&({{ 6}}\quad ,&{{ 3}})
\end{array}\qquad
% coordinates of midpoint 
\left(\cfrac{{{ x_2}} + {{ x_1}}}{2}\quad ,\quad \cfrac{{{ y_2}} + {{ y_1}}}{2} \right)
\\\\\\
\left(\cfrac{{{ 6}} -4}{2}\quad ,\quad \cfrac{3-1}{2} \right)$

3 0

3 years ago

In the given figure, identify a pair of perpendicular lines.

irakobra [83]

The answer is m and n / c

5 0

3 years ago

Read 2 more answers

N is a whole number such that 6< 3n < 15 List all the possible values of n.

Sav [38]

Answer:

3, 4

Step-by-step explanation:

6 < 3n < 15

Divide the three "sides" by 3.

2 < n < 5

n must be between 2 and 5,a nd it must be a whole number.

n can be 3 or 4

7 0

3 years ago

Read 2 more answers

Figure ABCD is a parallelogram with point C (−4, 1). Figure ABCD is rotated 90° clockwise to form figure A′B′C′D′. What coordina

Svet_ta [14]

There are certain rules to follow when rotating a point 90 deg clockwise. Since it is given that ABCD is a parallelogram and the coordinates of point C are given, we just have to follow this simple relation:

R(90 deg) : (X,Y) ---> (-Y,X)

Using the given coordinates:
R(90 deg) : (-4,1) ---> (-1,-4)

Therefore, Point C' will be located at (-1,-4)

6 0

3 years ago