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ira [324]
3 years ago
9

Find the radius of a circle with area 42.7 units squared.

Mathematics
2 answers:
docker41 [41]3 years ago
6 0

Answer:

3.69

Step-by-step explanation:

A=\pi r^{2} is the formula to find the area of a circle. Input the numbers 42.7=(3.14)r^{2} and solve. It equals 3.68765, round to 2 decimal places making it 3.69.

lord [1]3 years ago
3 0
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Mrs mccarthy has 2 separate 7 foot boards she needs 11 inches long how many will she have if she has 2 boards
Trava [24]
2 separate 7 ft boards = (2 * 7) = 14 feet
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6 0
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If f(x) = 8x + 9, each time x increases by 1 unit, f(x) increases by<br> units.
alexira [117]
7 Units.

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3 0
3 years ago
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
1.2(2p-3) Can you give me the answer and show ur work?​
olga_2 [115]

Answer:

Step-by-step explanation:

hey

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