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2 years ago

Help find the volume of the figure in terms of Pi.

Mathematics

2 answers:

NARA [144]2 years ago

6 0

Answer:

9.33π

Step-by-step explanation:

the formula to solve for the volume of a cone is V=πr^2 * h/3

r = radius of base (2mi)

h = height (7mi)

plug in the numbers

V=π2^2 * 7/3

V=π4*2.33333333

V=9.33π

mote1985 [20]2 years ago

4 0

The volume of a cone is equal to 1/3•pi•r^2•h. If you want to find the volume of something in terms of pi, you must multiply all other numbers and leave the answer without multiplying the pi in.

In this case, the radius is equivalent to 2mi and the height is equivalent to 7mi. This means….

r^2=4
h=7

Now plug in the numbers into the formula for the volume of a cone.

1/3•4•7•pi
28/3pi

The answer is 28/3 pi.

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Explain how to write an equival3nt expresion using the associative property<br><br> 2+(11+y)

nignag [31]

Answer:

13 + y

Step-by-step explanation:

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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

Solve for x: 2x/5=12/8

Anika [276]

Answer:

x = $3\frac{3}{4}$

Step-by-step explanation:

First, you have to leave 2x by itself on the left side of the equation:

2x = 60/8

Then divide,

x = 15/4

Simplified fraction: x = $3\frac{3}{4}$

5 0

3 years ago

Read 2 more answers

Use the given information to solve the triangle for A = 150°, b = 4.8, a = 9.4

ELEN [110]

Well you can start by drawing a triangle with the information

the size of angle B can be found using the Law of Sine

$\frac{sin(150)}{9.4)} = \frac{sin(B)}{4.8}$

the size of angle C can be found using angle sum of a triangle.

The length of side c can be found using the Law of Cosines

$c^2 = 4.8^2 + 9.4^2 - 2 \times4.8\times9.4\times cos(C)$

hope it helps

7 0

3 years ago

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Stella [2.4K]

Answer:

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Step-by-step explanation:

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3 years ago