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alina1380 [7]
3 years ago
9

The area of a square dollhouse is 289 square inches. How long is each side of the dollhouse?

Mathematics
2 answers:
EastWind [94]3 years ago
8 0

Answer:

17

Step-by-step explanation:

Romashka-Z-Leto [24]3 years ago
4 0

Answer:

17 sq inches

Step-by-step explanation:

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Find a nonzero vector orthogonal to the plane through the points: ????=(0,0,1), ????=(−2,3,4), ????=(−2,2,0).
ser-zykov [4K]

Answer:

The nonzero vector orthogonal to the plane is <-9,-8,2>.

Step-by-step explanation:

Consider the given points are P=(0,0,1), Q=(−2,3,4), R=(−2,2,0).

\overrightarrow {PQ}==

\overrightarrow {PR}==

The nonzero vector orthogonal to the plane through the points P,Q, and R is

\overrightarrow n=\overrightarrow {PQ}\times \overrightarrow {PR}

\overrightarrow n=\det \begin{pmatrix}i&j&k\\ \:\:\:\:\:-2&3&3\\ \:\:\:\:\:-2&2&-1\end{pmatrix}

Expand along row 1.

\overrightarrow n=i\det \begin{pmatrix}3&3\\ 2&-1\end{pmatrix}-j\det \begin{pmatrix}-2&3\\ -2&-1\end{pmatrix}+k\det \begin{pmatrix}-2&3\\ -2&2\end{pmatrix}

\overrightarrow n=i(-9)-j(8)+k(2)

\overrightarrow n=-9i-8j+2k

\overrightarrow n=

Therefore, the nonzero vector orthogonal to the plane is <-9,-8,2>.

8 0
3 years ago
The length of a rectangle is 8cm and the height is 16cm find the answer of the above figures using this formular...
notsponge [240]
  • Length=8cm
  • Breadth=16cm(Height)

<h3>Perimeter:-</h3>

\\ \sf\longmapsto Perimeter=2(L+B)

\\ \sf\longmapsto Perimeter=2(16+8)

\\ \sf\longmapsto Perimeter=2(24)

\\ \sf\longmapsto Perimeter=48cm

Area:-

\\ \sf\longmapsto Area=Length\times Breadth

\\ \sf\longmapsto Area=8(16)

\\ \sf\longmapsto Area=128cm^2

3 0
3 years ago
The perimeter of a rectangle is 60. The length is 10 more than the width. find the length and width
Elenna [48]

Answer:

Width is 10  Length is 20

Step-by-step explanation:

Perimeter = 60

Length = W + 10

P = 2L + 2W                      Write the equation for perimeter

60 = 2(W + 10) + 2W         Substitute your variables

60 = 4W + 20

- 20          - 20                Subtract 20 from both sides

40 = 4W                        Divide both sides by 4

10 = W

8 0
3 years ago
Read 2 more answers
Algebra 2 help needed image below
Nookie1986 [14]

Answer:

8x + 100

Step-by-step explanation:

Your answer is correct! But because the equation is already set to "y =", you do not need the "f(x)" in your equation.

7 0
2 years ago
SOMEONE PLEASE HELP ME i really need this one
jek_recluse [69]

Answer:

Wait are u trying to find the area of a shape???

Step-by-step explanation:

8 0
3 years ago
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