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Llana [10]
3 years ago
10

8 cm

Mathematics
2 answers:
katrin [286]3 years ago
5 0
Your answer would be 6 cm
Serggg [28]3 years ago
3 0
The answer for b is 10
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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
WHOEVER ANSWERS I WILL MARK BRAINLIEST
Gemiola [76]

Answer:

B

Step-by-step explanation:

Prime Factorization involves breaking down a number into prime numbers (aka numbers that can only be divided by itself and 1)

36

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Hope that helps!

3 0
3 years ago
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Luis set up an A-frame ladder so that the angle formed between each side of the ladder and the ground is 125 degrees. What is th
Firlakuza [10]

Answer:

70°

found by considering A-frame ladder as a triangle

Step-by-step explanation:

Given that,

angle form on either side of A-frame ladder with the ground = 125°(exterior)

As it is a A-frame ladder so its a triangle, we will find the angle at the top of ladder by using different properties of triangle

1) find interior angle form by A-frame ladder with the ground

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x = 180 - 125

x = 55°

2) find the angle on top of ladder

55 + 55 + y = 180        sum of angle of a triangle

110 + y = 180

y = 180 - 110

y = 70°

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4 years ago
Complete the Domain and Range worksheet attached. You can type the answer into submit
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There different from there own way there celebrities and there ways
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a Baker's going to make 24 blueberry pie she wants to make sure that each by contains 3.5 cups of blueberries how many cups of b
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