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2 years ago

Given the 8-sided figure below with exterior angle measures as shown, what is the value of

Mathematics

1 answer:

ANEK [815]2 years ago

6 0

Answer:

I believe the answer would be 55 degrees.

Step-by-step explanation:

Add together all the given angles then subtract that total from 360.

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If Vector u=(5,-7) and v=(-11,3), 2v-6u=_____ and ||2v-6u||≈_____

Sauron [17]

<h2>Answer:</h2>

$2\vec{v}-6\vec{u}=(-52,48) \\ \\ ||2\vec{v}-6\vec{u}||=75.28}$

<h2>Step-by-step explanation:</h2>

In this problem we have two vectors:

$\vec{u}=(5,-7) \ and \ \vec{v}=(-11,3)$

So we need to find two things:

$2\vec{v}-6\vec{u}$

and:

$||2\vec{v}-6\vec{u}||$

FIRST:

In this case we have the multiplication of vectors by scalars. A scalar is a simple number, so:

$2\vec{v}-6\vec{u} \\ \\ Replace \ \vec{v} \ and \ \vec{u} \ by \ the \ given \ vectors: \\ \\ 2(-11,3)-6(5,-7) \\ \\ Multiply \ each \ component \ by \ the \ corresponding \ scalar:\\ \\ (2\times (-11),2\times 3)+(-6\times 5,-6\times (-7)) \\ \\ (-22,6)+(-30,42) \\ \\ Sum \ of \ vectors: \\ \\ (-22-30,6+42) \\ \\ \therefore \boxed{(-52,48)}$

SECOND:

If we name:

$\vec{w}=2\vec{v}-6\vec{u}$

Then, $||2\vec{v}-6\vec{u}||$ is the magnitude of the vector $\vec{w}$ . Therefore:

$||\vec{w}||=||2\vec{v}-6\vec{u}|| \\ \\ ||\vec{w}||=||(-52,48)|| \\ \\ ||\vec{w}||=\sqrt{(-58)^2+48^2} \\ \\ ||\vec{w}||=\sqrt{3364+2304} \\ \\ ||\vec{w}||=\sqrt{5668} \\ \\ \boxed{||\vec{w}||=75.28}$

5 0

2 years ago

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Whats 100,002÷13 dont try calculator or paper

balandron [24]

100,002 divded by 13 will be 7692 when estimated

6 0

3 years ago

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4. Which property of operations is used to write 15x + 9 as 9 + 15x?

suter [353]

Solution: The commutative property of addition states that when two numbers are being added, their order can be changed without affecting the sum.

8 0

2 years ago

If total revenue is 3000,cost of goods is $1500, and a total selling expensesis $500; what is the profit for business?

tekilochka [14]

This sounds like simple addition & subtraction.
Total revenue = $3,000
Cost of goods = $1,500
Total expenses = $500
Profit = x
x = 3,000 - 1,500 + 500
x = 3,000 - 2000
x = 1,000
Profit for the business is $1,000

6 0

2 years ago

PLease give me answer ASAP

fomenos

Answer:

Step-by-step explanation:

7 0

3 years ago

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