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3 years ago

Find the volume of a cylinder with base radius of 3 and height of 2

Mathematics

1 answer:

Lunna [17]3 years ago

5 0

Answer:

Volume equals 56.6 when rounded to the nearest tenth

Step-by-step explanation:

YOU NEED A CALCULATOR TO SOLVE THIS!

To find the volume of a cylinder you need the formula $V = \pi r^{2}h$

Now that you have the formula you plug in the radius and the height

$V = \pi (3^{2}) (2)$

Then solve

$V = \pi (9)(2)$

$V = 18\pi$

$V = 56.548667764616278$

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A polar bear swims 390 meters at a constant rate in 150 seconds. what is the speed of the polar bear?

worty [1.4K]

The answer is 2.6 m/s

The speed (v) is distance (d) through time (t).
v = d/t

We know:
d = 390 m
t = 150 s

v = d/t
v = 390 m / 150s
v = = 2.6 m/s

5 0

4 years ago

What is the degree of 15x^3+63x+27x^4+35?<br> A) 0<br> B) 1<br> C) 3<br> D) 4

levacccp [35]

Answer:

D.) 4

Step-by-step explanation:

Your highest exponent is your degree.

Its easier if you put the polynomial in order:

27x^4+15x^3+63x+35

5 0

3 years ago

Read 2 more answers

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

Triangle ABC is transformed to create triangle MNL?

Dahasolnce [82]

Answer:

The transformation is rigid because the corresponding side lengths and angles are congruent.

Step-by-step explanation:

Since we have congruent triangles (not similar triangles), they will have to have the same length and angles throughout your transformation. Therefore, our answer is the 1st Option.

7 0

3 years ago

What is 3x+4y=8 in slope intercept form?

Tpy6a [65]

Y=3/4x+2 cus u subtract than divide

3 0

3 years ago