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3 years ago

1. Triangle ABC is similar to triangle DEF.

Mathematics

1 answer:

nignag [31]3 years ago

7 0

Answer:

Step-by-step explanation:

In similar triangles corresponding angles have the same measure.

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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>.

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3 years ago

Whats 2+2 pick now, select one

loris [4]

Answer:

4????

Step-by-step explanation:

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3 years ago

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You decide to erect A statue of yourself in your homeroom class is 10.25 feet tall fire code forces you to leave 1.5 feet of spa

seraphim [82]

H is less than or equal to 8.75

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3 years ago

A military aircraft can travel 740 miles per hour. The distance between Tyndall Air Force Base in Florida and Lakenheath Air For

BARSIC [14]

Answer: 3.5 h

Step-by-step explanation:

a) s = 740 miles / h

b) d = 2,567 miles

c) t = ?

<u>2. Equation:</u>

speed = distance / time

s = d / t

<u>3. Solution:</u>

Solve the equation for t:

s = d / t ⇒ t = d / s

Substitute values:

t = 2,567 miles / (740 miles/h) ≈ 3.47 h ≈ 3.5 h

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3 years ago

Which sentence does not belong with the other 3?

attashe74 [19]

D, there is no division property of equality

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3 years ago