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3 years ago

You have five quarts of paint. It takes 5/8 quart to paint each chair you are asked to paint. How many chairs can you paint?

Mathematics

1 answer:

pentagon [3]3 years ago

3 0

5 chairs it is because it's oberse

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I can't figure out how to do (i + j) x (i x j)for vector calc

Vinil7 [7]

In three dimensions, the cross product of two vectors is defined as shown below

$\begin{gathered} \vec{A}=a_1\hat{i}+a_2\hat{j}+a_3\hat{k} \\ \vec{B}=b_1\hat{i}+b_2\hat{j}+b_3\hat{k} \\ \Rightarrow\vec{A}\times\vec{B}=\det (\begin{bmatrix}{\hat{i}} & {\hat{j}} & {\hat{k}} \\ {a_1} & {a_2} & {a_3} \\ {b_1} & {b_2} & {b_3}\end{bmatrix}) \end{gathered}$

Then, solving the determinant

$\Rightarrow\vec{A}\times\vec{B}=(a_2b_3-b_2a_3)\hat{i}+(b_1a_3+a_1b_3)\hat{j}+(a_1b_2-b_1a_2)\hat{k}$

In our case,

$\begin{gathered} (\hat{i}+\hat{j})=1\hat{i}+1\hat{j}+0\hat{k} \\ \text{and} \\ (\hat{i}\times\hat{j})=(1,0,0)\times(0,1,0)=(0)\hat{i}+(0)\hat{j}+(1-0)\hat{k}=\hat{k} \\ \Rightarrow(\hat{i}\times\hat{j})=\hat{k} \end{gathered}$

Where we used the formula for AxB to calculate ixj.

Finally,

$\begin{gathered} (\hat{i}+\hat{j})\times(\hat{i}\times\hat{j})=(1,1,0)\times(0,0,1) \\ =(1\cdot1-0\cdot0)\hat{i}+(0\cdot0-1\cdot1)\hat{j}+(1\cdot0-0\cdot1)\hat{k} \\ \Rightarrow(\hat{i}+\hat{j})\times(\hat{i}\times\hat{j})=1\hat{i}-1\hat{j} \\ \Rightarrow(\hat{i}+\hat{j})\times(\hat{i}\times\hat{j})=\hat{i}-\hat{j} \end{gathered}$

Thus, (i+j)x(ixj)=i-j

8 0

1 year ago

Help me please!!!!! I need help with angles

Salsk061 [2.6K]

Answer:

<CFE = 28

<RPQ = 53

Step-by-step explanation:

<CFE + 152 = 180

<CFE = 180 - 152

<CFE = 28

Complementary means the angles add up to 90 so:

<RPQ + 37 = 90

<RPQ = 90 - 37

<RPQ = 53

4 0

3 years ago

Solve the linear equation below for x. *<br> 3x + 4 = 8x – 9<br> A. 2.6 B. 1 C. 1.09 D. 2

Juli2301 [7.4K]

This answer is A, first you subtract 3x from both sides simplify 8x-9-3x to 5x-9, add 9 to both sides, simplify 4+9 to 13, divided both sides by 5 and you’ll get 2.6

6 0

3 years ago

In one year, a government collected about $6250 per person in taxes. If the population was 270,000,000, how much did the governm

Firlakuza [10]

Answer:

1,687,500,000,000

Step-by-step explanation:

1) 270,000,000 x 6250

5 0

3 years ago

Me dicen la sifra 5p-14=8p+19

Alex

5p-14=8p+19
8p-5p = -3p
-3p-14=18
14+18 = 33
33/-3=-11

7 0

3 years ago