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Irina-Kira [14]
3 years ago
6

What is the value of N ?

Mathematics
2 answers:
Nady [450]3 years ago
7 0
Remember that a straight line = 180°

Angle next to 121°: 180 - 121 = 59
Angle next to 121° = 59°

Angle next to 144°: 180 - 144 = 36
Angle next to 144° = 36°

180 - 59 - 36 = 85

angle  next to n = 85°

180 - 85 = 95

n = 95°, or D

hope this helps
Burka [1]3 years ago
3 0
The top angle in the middle triangle is 180-121, which is 59.
The right side angle in the triangle is 180-144, which is 36.

The angles of a triangle add up to 180. Therefore, bottom left angle in triangle equals 180-59-36, which equals 85.

N equals 180-the bottom left triangle angle, therefore it is 95 degrees.
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The distance between B and C
alina1380 [7]

Answer:

The answer is

<h2>\sqrt{13}  \:  \: or \:  \: 3.6055 \:  \: units</h2>

Step-by-step explanation:

The distance between two points can be found by using the formula

d =  \sqrt{( {x1 - x2})^{2} +  ({y1 - y2})^{2}  }  \\

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

B ( 3 , 1 ) and C( 6 , 3)

The distance between them is

|BC|  =  \sqrt{( {3 - 6})^{2}  +  ({1 - 3})^{2} }  \\  =  \sqrt{ ({ - 3})^{2}  + ( { - 2})^{2} }  \\  =  \sqrt{9 + 4}

We have the final answer as

\sqrt{13}  \:  \: or \:  \: 3.6055 \:  \: units

Hope this helps you

5 0
3 years ago
Lola takes the train from Paris to Nice. The distance between the two cities is about 921,000 meters. If the train travels at a
Andru [333]
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7 0
3 years ago
Read 2 more answers
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

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4.

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}||}

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\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}

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\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)

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