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Feliz [49]
3 years ago
6

PLS HELP I WILL MARK BRAINLYEST !!!!!!

Mathematics
1 answer:
Ivan3 years ago
7 0

Answer:

the third option

Step-by-step explanation:

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Determine the volume of the parallelepiped with one vertex at the origin and the three vertices adjacent to it at (2, â1, â1), (
valentinak56 [21]

Answer:

23

Step-by-step explanation:

Here is the complete question

Find the volume of the parallelepiped with one vertex at the origin and adjacent vertices at (1, 0, -3), (1, 2, 4), and (5, 1, 0).

Solution

We find the volume of the parallelepiped by making a 3 × 3 column matrix whose columns are the corresponding coordinates of the vertices of the parallelepiped.

So, (1, 0, -3), (1, 2, 4)  and (5, 1, 0)

A = \left[\begin{array}{ccc}1&1&5\\0&2&1\\-3&4&0\end{array}\right]

The determinant of A is the volume of the parallelepiped. So,

detA = 1(2 × 0 - 4 × 1) - 1(0 × 0 - (-3) × 1) + 5(0 × 4 - (-3) × 2)

= 1(0 - 4) - 1(0 + 3) + 5(0 + 6)

= 1(-4) - 1(3) + 5(6)

= -4 - 3 + 30

= 23

So the volume of the parallelepiped is 23

4 0
3 years ago
If sin=2/3 and tan is less than 0, what is the value of cos
Sonbull [250]

tangent is less than 0 or tan(θ) < 0, is another way to say tan(θ) is negative, well, that only happens on the II Quadrant and IV Quadrant, where sine and cosine are different signs, so we know θ is on the II or IV Quadrant.

\bf sin(\theta )=\cfrac{\stackrel{opposite}{2}}{\stackrel{hypotenuse}{3}}\qquad \impliedby \textit{let's find the \underline{adjacent side}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \pm\sqrt{c^2-b^2}=a \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases}

\bf \pm\sqrt{3^2-2^2}=a\implies \pm\sqrt{5}=a\implies \stackrel{\textit{II Quadrant}}{-\sqrt{5}=a} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill cos(\theta )=\cfrac{\stackrel{adjacent}{-\sqrt{5}}}{\stackrel{hypotenuse}{3}}~\hfill

4 0
3 years ago
Is it 15, 24, 30, 42, or 48?!
klio [65]

The answer would be

<em>H. 30</em>

Thanks for using Brainly, and Please make sure to make my answer the Brainliest!

6 0
3 years ago
Read 2 more answers
Y=f(x) = -1x find f(x) when x= 0
Marrrta [24]

Answer:

y = 0

Step-by-step explanation:

If anything is multiplied by a 0 the answer is always going to be 0.

1. Plug 0 into x.

-1(0) = 0

Hope this Helped!!!

~Shane

5 0
3 years ago
Em quantos meses um capital de R$4.000,00 aplicado a uma taxa de juros simples de 29,3% ao ano, renderá de juros o valor de R$58
Akimi4 [234]

Responda:

6 meses

10 meses

Explicação passo a passo:

Dado que:

Principal = 4000

Juros = 586

Taxa (r) = 29,3% ao ano = 0,293

Juros simples = principal * taxa * tempo

586 = 4000 * 0,293 * t

586 = 1172t

t = 586/1172

t = 0,5 anos

Tempo = (0,5 * 12) = 6 meses

B.)

principal = $ 90909,09

Montante final = 100.000

Taxa (r) = 12% = 0,12

Usando a fórmula:

Quantidade final = p (1 + rt)

Taxa = r; t = tempo

100000 = 90909,09 (1 + 0,12t)

100000 = 90909,09 + 10909,0908t

100000 - 90909,09 = 10909,0908t

9090,91 = 10909,0908t

t = 9090,91 / 10909,0908

t = 0,8333334

Número de meses:

0,8333334 * 12

= 10 meses

4 0
3 years ago
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