All categories

3 years ago

What is the total surface area of this square pyramid?

Mathematics

1 answer:

slamgirl [31]3 years ago

4 0

Answer:

The total surface area of this square pyramid is $297\ mm^{2}$

Step-by-step explanation:

we know that

The surface area of a square pyramid is equal to

$SA=b^{2} +4[\frac{1}{2}(b)(h)]$

we have

$b=9\ mm$ ----> the length side of the square base

$h=12\ mm$ ----> the height of the triangular faces

substitute the values

$SA=9^{2} +4[\frac{1}{2}(9)(12)]=297\ mm^{2}$

You might be interested in

Suppose that the height (in centimeters) of a candle is a linear function of the amount of time (in hours) it has been burning.

natka813 [3]

Suppose that the height (in centimeters) of a candle is a linear function of

the amount of time (in hours) it has been burning.

Let x be the amount of time in hours

Let y be the heoght of a candle in centimeters

The two points are then as (9,24.5) and (23,17.5).

$\mathrm{Find\:the\:line\:}\mathbf{y=mx+b}\mathrm{\:passing\:through\:}\left(9,\:24.5\right)\mathrm{,\:}\left(23,\:17.5\right)$

$\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(9,\:24.5\right),\:\left(x_2,\:y_2\right)=\left(23,\:17.5\right)$

$m=\frac{17.5-24.5}{23-9}$

$m=-0.5$

$\mathrm{Plug\:the\:slope\:}-0.5\mathrm{\:into\:}y=mx+b$

$y=\left(-0.5\right)x+b$

$\mathrm{Plug\:in\:}\left(9,\:24.5\right)\mathrm{:\:}\quad \:x=9,\:y=24.5$

$24.5=\left(-0.5\right)\cdot \:9+b$

$-4.5+b=24.5$

$b=29$

$\mathrm{Construct\:the\:line\:equation\:}\mathbf{y=mx+b}\mathrm{\:where\:}\mathbf{m}=-0.5\mathrm{\:and\:}\mathbf{b}=29$

$y=-0.5x+29$

Now plug in x=21, we get

$y=-0.5*21+29=18.5$

Thus the height of the candle after 21 hours is 18.5 centimeters.

7 0

3 years ago

Which matrix represents the system of equations shown below? 3x -7y=21

Serjik [45]

$\left\{\begin{array}{ccc}3x-7y=21\\4x+5y=11\end{array}\right \\\\.\ \ x\qquad y\ \ const.\\\left[\begin{array}{ccc}3&-7\\4&5\end{array}\right|\left\begin{array}{ccc}21\\11\end{array}\right]$

8 0

3 years ago

Answer the questions please

Drupady [299]

Answer:

4. 988 people

5. a. 7 quarters

b. 6 quarters 2 dimes 1 nickel

c. 5 quarters 5 dimes

d. 4 quarters 7 dimes 1 nickel

1. $65.65, $5.05

2. $7.70, $15.40

3. a. 7 quarters

b. 6 quarters 2 dimes 1 nickel

c. 5 quarters 5 dimes

d. 4 quarters 7 dimes 1 nickel

4. 31 bags

5. $30, $4.50

Step-by-step explanation:

4. take value times percent.

5. think coins

1. find difference then divide by number of days (13)

2. multiply by 1/3 then find difference.

3. think coins

4. find area then divide by 200

5. just break the problem down and go quarter by quarter.

4 0

3 years ago

Simplify <br> Rewrite the expression in the form z^n<br><br> z^5•z^6= ______

gtnhenbr [62]

Answer:

z²^30

Step-by-step explanation:

This is it enjoy.

4 0

3 years ago

Perimeter of triangle:20

goblinko [34]

Answer:

perimeter of rectangle= 2(4+X)

32=8+2x

32-8=2x

26=2x

26/2=X

14=X

perimeter of triangle=3×sides

20=3x

20/3=X

6.66=x

4 0

2 years ago