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3 years ago

Josephine lives in a

Mathematics

1 answer:

REY [17]3 years ago

8 0

My guess is 17 i really dont knowwww

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NO LINKS OR ANSWERING QUESTIONS YOU DON'T KNOW!!! THIS IS NOT A TEST OR AN ASSESSMENT!! Please help me with these math questions

Art [367]

Answer:

See below

Step-by-step explanation:

3. What are two ways that a vector can be represented?

Considering a vector $\vec{v}$ in some vector space $\mathbb R^n$ we have

$\vec{v} = \langle a,b\rangle$

This is the component form. I don't like that way. It is probably used in high school, but

$\vec{v} = \begin{pmatrix} a\\ b\\ \end{pmatrix}$

is preferable because the inner product on $\mathbb R^n$ is defined to be

$\langle a,b\rangle := \sum_{i = 1}^n a_i b_i$

You can also write it using linear form such as $\vec{v} = 2i+2j$

For this question, I think you meant

vectors

$\vec{u_1} = (-8, 12)$

$\vec{u_2} = (13, 15)$

Once

$\cos(\theta)=\dfrac{\vec{u_1} \cdot\vec{u_2}}{||\vec{u_1}||||\vec{u_2}||}$

Considering that the dot product is

$\vec{u_1}\cdot \vec{u_2} = (-8)\cdot 13 + 12\cdot 15 = -104+180= 76$

and the norm of $\vec{u_1}$ is $||\vec{u_1}|| = \sqrt{(-8)^2 + 12^2} = \sqrt{64 + 144}= \sqrt{208}$

and the norm of $\vec{u_2}$ is $||\vec{u_2}|| = \sqrt{13^2 + 15^2} = \sqrt{169 + 225}= \sqrt{394}$

Thus,

$\cos(\theta)=\dfrac{76}{\sqrt{208} \sqrt{394}} = \dfrac{19}{\sqrt{13}\sqrt{394}}=\dfrac{19}{\sqrt{5122}}$

$\therefore \theta = \arccos \left(\dfrac{19}{\sqrt{5122}} \right)$

3 0

3 years ago

Solve for x.<br> х<br> G<br> 9<br> 3

mash [69]

Ttthe said she had no reason why he would be able answer that he had been in ,.....

6 0

3 years ago

-3x+4=13 SOLVE PLZ! INEQUALITY

arlik [135]

Hi!

What you'll first need to do is subtract 4 from 4 and 13. After doing so, your equation will look like this...

-3x=9

Next, you'll need to divide -3x and 9 by -3. After you've done that, you'll get...

x=-3.

So your answer would be x=-3

I hope this helps!

5 0

3 years ago

Read 2 more answers

Mason and his dad are going to build a small retaining wall for the perimeter of their new

IRISSAK [1]

Answer:

120 bricks = 10 kg

120 bricks × 10 kg = 1200 kg

1200 kg + 9000 kg = 10200 kg

5 0

3 years ago

A cold front hit Hartford, Connecticut. The temperature dropped by 7° F each hour from 5:00 a.m. to 9:00 a.m. What was the begin

never [62]

Hi! The temperature would be 18°.

There was a 4 hour period between 5 and 9 a.m.

So, I just took -10, and added 7 four times.

-10 + 7 + 7 + 7 + 7 = 18

Hope this helps you! Happy thanksgiving, here's a turkey!

5 0

3 years ago