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2 years ago

(A) they are complementary (B) they are supplementary (C) they are neither

Mathematics

2 answers:

jasenka [17]2 years ago

6 0

b, they are supplementary angles, because the sum of the angles is 180 degrees

aalyn [17]2 years ago

4 0

B because supplementary angles are equal to 180 degrees and 45 + 135 does equal 180 degrees.

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Given the matrices: 1 2 A= 1 -1 2 1 1 B= 3 4 Calculate AB: C11 C12 [2.1] х 1 2 3 4 C21 C22 C11 = C12 = -2 C22 - C215 DONE

eduard

Answer:

$\:c_{11}=-2,\:\:\:c_{12}=-2$

$\:c_{21}=5,\:\:\:c_{22}=8$

Step-by-step explanation:

Given the matrices

$A=\begin{pmatrix}1&-1\\ 2&1\end{pmatrix}$

$B=\begin{pmatrix}1&2\\ \:3&4\end{pmatrix}$

Calculating AB:

$\begin{pmatrix}1&-1\\ \:\:2&1\end{pmatrix}\times \:\begin{pmatrix}1&2\\ \:\:3&4\end{pmatrix}=\begin{pmatrix}c_{11}&c_{12}\\ \:\:\:c_{21}&c_{22}\end{pmatrix}$

Multiply the rows of the first matrix by the columns of the second matrix

$=\begin{pmatrix}1\cdot \:1+\left(-1\right)\cdot \:3&1\cdot \:2+\left(-1\right)\cdot \:4\\ 2\cdot \:1+1\cdot \:3&2\cdot \:2+1\cdot \:4\end{pmatrix}$

$=\begin{pmatrix}-2&-2\\ 5&8\end{pmatrix}$

Hence,

$\begin{pmatrix}c_{11}&c_{12}\\ \:\:\:c_{21}&c_{22}\end{pmatrix}=\begin{pmatrix}-2&-2\\ \:5&8\end{pmatrix}$

Therefore,

$\:c_{11}=-2,\:\:\:c_{12}=-2$

$\:c_{21}=5,\:\:\:c_{22}=8$

5 0

2 years ago

Read 2 more answers

The weight, w, of a spring in pounds is given by 0.9 times the square root of the energy, E, stored by the spring in joules. If

alex41 [277]

Answer:

B) $w\approx3.12$ pounds

Step-by-step explanation:

$w=0.9\sqrt{E}$

$w=0.9\sqrt{12}$

$w\approx3.12$

6 0

1 year ago

Help needed ASAP will give BRAINLIEST not a real test

sineoko [7]

Answer:

I got 20

Step-by-step explanation:

The chance of getting less than 3 is 2/6.

If she rolls the dice 60 times, that means you have to multiply 2/6 by 60.

The answer you would get is 20.

3 0

2 years ago

A farmer sells 7.2 kg of pears and apples at the farmer's market. 2/5 of this weight is pears, and the rest is apples. how many

aniked [119]

Answer:

2.88

Step-by-step explanation:

8 0

2 years ago

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Write the first 4 multiples of 3/8

sesenic [268]

Multiples of 3

: 3, 6, 9, 12, 15, 18, 21, 24, ...

Multiples of 4

: 4, 8, 12, 16, 20, 24, ...

Multiples of 8

: 8, 16, 24, ..

Find the smallest number that is shared by all rows above. This is the LCM.

LCM = 2424

Method 2: By Prime Factors

List the prime factors of each number.

Prime Factors of 3

: 3

Prime Factors of 4

: 2, 2

Prime Factors of 8

: 2, 2, 2

Find the union of these primes.

2,2,2,32,2,2,3

Multiply these numbers: 2\times 2\times 2\times 3=242×2×2×3=24. This is the LCM.

LCM = 2424

3 0

2 years ago