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3 years ago

I need help with number 5 please!

Mathematics

1 answer:

Mnenie [13.5K]3 years ago

5 0

Answer:

8 mi³

Step-by-step explanation:

area of base=1/2×3×4=6 mi²

volume =1/3×base area×height

=1/3×6×4

=8 mi³

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Clarissa uses 8.6 pints of blue paint and white paint to paint her bedroom walls. 3/5 of this amount is blue paint, and the rest

xenn [34]

Answer:

3.44 pints of white paint

Step-by-step explanation:

3/5 x 8.6 = 5.16 pints

Clarissa uses 5.16 pints of blue paints

Subtract 5.16 from 8.6 to find out how many pints of white paint did Clarissa use.

8.6 - 5.16 = 3.44 pints of white paint

3 0

2 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

10 months ago

Fill in the blanks to explain how Harry can check whether his solution is correct

Tresset [83]

<u><em>Answer is in bold</em></u>

Harry can first substitute 30 for t. He can then multiply $\frac{1}{3}$ by 30 to get a product of 10. Since 15 is equal to 30 × 1/2, Harry's solution is not correct.

Hope this helps :)

Have a great day!

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1 year ago

What is the domain of this graph

Naddik [55]

Answer:

Step-by-step explanation:

b is the range

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2 years ago

Jimmy is working at a factory where they make cars and trucks in the ratio five to four if the factory makes 100 trucks how many

-BARSIC- [3]

Answer:

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Step-by-step explanation:

5/4=x/100

x=500/4

x=125

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2 years ago