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3 years ago

What is the volume of this pyramid

Mathematics

1 answer:

irga5000 [103]3 years ago

3 0

Check the picture below.

$\bf \textit{volume of a pyramid}\\\\ V=\cfrac{1}{3}Bh~~ \begin{cases} B=area~of\\ \qquad its~base\\ h=height\\[-0.5em] \hrulefill\\ B=\stackrel{\textit{triangular base}}{\frac{1}{2}(14)(18)}\\[1em] h=30 \end{cases}\implies V=\cfrac{1}{3}\left( \cfrac{1}{2}(14)(18) \right)(30) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill V=1260~\hfill$

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Retailers will buy 45 Wi-Fi routers from a wholesaler if the price is $10 each but only 20 if the price is $85. The wholesaler w

Basile [38]

I believe it’s is 1000

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2 years ago

Find Horizontal and Vertical Asymptotes for y=(1)/((x+2)^3)

Usimov [2.4K]

Answer:

Vertical asymptote: $x = -2$

Horizontal asymptote: $y = 0$ or x axis.

Step-by-step explanation:

The rational function is given as:

$y=\frac{1}{(x+2)^3}$

Vertical asymptotes are those values of $x$ for which the function is undefined or the graph moves towards infinity.

For a rational function, the vertical asymptotes can be determined by equating the denominator equal to zero and finding the values of $x$ .

Here, the denominator is $(x+2)^3$

Setting the denominator equal to zero, we get

$(x+2)^3=0\\(x+2)=0\\x=-2$

Therefore, the vertical asymptote occur at $x=-2$ .

Horizontal asymptotes are the horizontal lines when $x$ tends towards infinity.

For a rational function, if the degree of numerator is less than that of the denominator, then the horizontal asymptote is given as $y=0$ .

Here, there is no $x$ term in the numerator. So, degree is 0. The degree of the denominator is 3. So, the degree of numerator is less than that of denominator.

Therefore, the horizontal asymptote is at $y=0$ or x axis.

3 0

3 years ago

Order From Least To Greatest 0.5 , -0.55 , 0.05 , -0.505

zvonat [6]

Not to be rude, Maddy, but that is the incorrect answer. The answer is -0.505, -0.55, -0.05, 0.5

7 0

2 years ago

Two weather stations are aware of a thunderstorm located at point C. The weather stations A and B are 27 miles apart. How far is

cluponka [151]

Station A is at a distance of 28.83 miles from the storm

Sine rule is used to show the relationship between the sides of a triangle as well as their opposite angles. It is given by:

$\frac{a}{sin(A)}= \frac{b}{sin(B)}=\frac{c}{sin(C)}$

From the diagram:

A = 34° + 90° = 124°

Also:

B = 90° - 61° = 29°

Hence:

C + A + B = 180°
C + 29 + 124 = 180
C = 27°

b = distance station A from the storm, c = AB = 27 miles

Using sine rule:

$\frac{c}{sin(C)} =\frac{b}{sin(B)} \\\\\frac{27}{sin(27)}=\frac{b}{sin(29)} \\\\b=28.83\ miles \\$

Station A is at a distance of 28.83 miles from the storm

7 0

2 years ago

Which expression is equivalent to

djverab [1.8K]

Answer:

Step-by-step explanation:

"" = x^(0.5*(-2))*y^(-0.25*(-2))*z^(-2) = x^(-1)*y^(0.5)*z^(-2) =

(1/x^1)*y^(0.5)*(1/z^2) = 3

4 0

3 years ago

Read 2 more answers