All categories

3 years ago

HELP NEEDED PLEASE!

Mathematics

1 answer:

Setler [38]3 years ago

4 0

Answer:

Step-by-step explanation:

$\frac{4}{3} \pi r^{3} =12\pi \\r=\sqrt[3]{9} \\surface area 4\pi r^{2} = 4\pi (\sqrt[3]{9} )^2=54.372 (3dp)$

You might be interested in

Round to the nearest tenth 3.2649

katovenus [111]

Answer:

3.3

Step-by-step explanation:

5 0

3 years ago

compute the projection of → a onto → b and the vector component of → a orthogonal to → b . give exact answers.

Nina [5.8K]

$\text { Saclar projection } \frac{1}{\sqrt{3}} \text { and Vector projection } \frac{1}{3}(\hat{i}+\hat{j}+\hat{k})$

We have been given two vectors $\vec{a}$ and $\vec{b}$ , we are to find out the scalar and vector projection of $\vec{b}$ onto $\vec{a}$

we have $\vec{a}=\hat{i}+\hat{j}+\hat{k}$ and $\vec{b}=\hat{i}-\hat{j}+\hat{k}$

The scalar projection of $\vec{b}$ onto $\vec{a}$ means the magnitude of the resolved component of $\vec{b}$ the direction of $\vec{a}$ and is given by

The scalar projection of $\vec{b}$ onto

$\vec{a}=\frac{\vec{b} \cdot \vec{a}}{|\vec{a}|}$

$\begin{aligned}&=\frac{(\hat{i}+\hat{j}+\hat{k}) \cdot(\hat{i}-\hat{j}+\hat{k})}{\sqrt{1^2+1^1+1^2}} \\&=\frac{1^2-1^2+1^2}{\sqrt{3}}=\frac{1}{\sqrt{3}}\end{aligned}$

The Vector projection of $\vec{b}$ onto $\vec{a}$ means the resolved component of $\vec{b}$ in the direction of $\vec{a}$ and is given by

The vector projection of $\vec{b}$ onto

$\vec{a}=\frac{\vec{b} \cdot \vec{a}}{|\vec{a}|^2} \cdot(\hat{i}+\hat{j}+\hat{k})$

$\begin{aligned}&=\frac{(\hat{i}+\hat{j}+\hat{k}) \cdot(\hat{i}-\hat{j}+\hat{k})}{\left(\sqrt{1^2+1^1+1^2}\right)^2} \cdot(\hat{i}+\hat{j}+\hat{k}) \\&=\frac{1^2-1^2+1^2}{3} \cdot(\hat{i}+\hat{j}+\hat{k})=\frac{1}{3}(\hat{i}+\hat{j}+\hat{k})\end{aligned}$

To learn more about scalar and vector projection visit:brainly.com/question/21925479

#SPJ4

3 0

1 year ago

The 2006 Guinness Book of World Records for the heaviest man was Manuel Uribe. He weighed 1,230 pounds. How many ounces did he w

Alex

He weigh 19680 ounces

5 0

3 years ago

I will give you 80 points If you help me please help me

Mnenie [13.5K]

Answer:

Elevator 1 is 16 feet above ground level, and elevator 2 is 25 feet below ground level

Step-by-step explanation:

Elevator one is moving up, so it means it's above ground level since it started on the ground

Elevator is moving negative floors, so it is moving below.

Let me know if you have any questions!

6 0

3 years ago

Select the equation that is the inverse of the given function f(x)=x-3/5

vampirchik [111]

$f(x)=\dfrac{x-3}{5}\to y=\dfrac{x-3}{5}\\\\\text{Interchange the y and the x}\\\\x=\dfrac{y-3}{5}\\\\\text{Solve for y}\\\\\dfrac{y-3}{5}=x\qquad|\cdot5\\\\y-3=5x\qquad|+3\\\\y=5x+3\\\\Answer:\ B.\ f^{-1}(x)=5x+3$

7 0

3 years ago

Read 2 more answers