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3 years ago

The area of a polygon is the number of square units contained in its interior true or false

Mathematics

1 answer:

Vsevolod [243]3 years ago

5 0

False. Perimeter is a linear measure. Square units are for area.

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Find the components of the vertical force Bold Upper Fequalsleft angle 0 comma negative 8 right anglein the directions parallel

nydimaria [60]

Answer with Step-by-step explanation:

We are given that

F=<0,-8>=0i-8j=-8j

$\theta=\frac{\pi}{3}$

The component of force is divided into two direction

1.Along the plane

2.Perpendicular to the plane

1.The vector parallel to the plane will be= $r=cos\frac{\pi}{3}i-sin\frac{\pi}{3}j=\frac{1}{2}i-\frac{\sqrt 3}{2}j$

By using $cos\frac{\pi}{3}=\frac{1}{2},sin\frac{\pi}{3}=\frac{\sqrt 3}{2}$

Force along the plane will be= $\mid F_x\mid=F\cdot r$

Force along the plane will be = $\mid F_x\mid=F\cdot (\frac{1}{2}i-\frac{\sqrt 3}{2}j)=-8j\cdot(\frac{1}{2}i-\frac{\sqrt 3}{2}j)=8\times \frac{\sqrt 3}{2}=4\sqrt 3$ N

By using $i\cdot i=j\cdoty j=k\cdot k=1,i\cdot j=j\cdot k=k\cdot i=j\cdot i=k\cdot j=i\cdot k=0$

Therefore, force along the plane= $\mid F_x\mid(\frac{1}{2}i-\frac{\sqrt 3}{2}j)=4\sqrt 3(\frac{1}{2}i-\frac{\sqrt 3}{2}j)$

2.The vector perpendicular to the plane= $r=-sin\frac{\pi}{3}-cos\frac{\pi}{3}=-\frac{\sqrt 3}{2}i-\frac{1}{2}j$

The force perpendicular to the plane= $\mid F_y\mid=F\cdot r=-8j(-\frac{\sqrt 3}{2}i-\frac{1}{2}j)$

The force perpendicular to the plane= $4$ N

Therefore, $F_y=4(-\frac{\sqrt 3}{2}i-\frac{1}{2}j)$

Sum of two component of force= $F_x+F_y=4\sqrt 3(\frac{1}{2}i-\frac{\sqrt 3}{2}j)+4(-\frac{\sqrt 3}{2}i-\frac{1}{2}j)$

Sum of two component of force= $2\sqrt 3i-6j-2\sqrt3 i-2j=-8j$

Hence,sum of two component of forces=Total force.

6 0

3 years ago

HELP ME PLZZ I NEED HELP WITH THIS!!

VARVARA [1.3K]

Answer:

Step-by-step explanation:

7 0

2 years ago

60 % of 80 ASAP pls bruuh

Sati [7]

Answer:

Step-by-step explanation:

just ask siri

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3 years ago

Write a fact with the same sum as 7+5

kaheart [24]

7+5=12 so it can be one of these 8+4=12, 9+3=12, 10+2=12, and 11+1=12.

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2 years ago

5(y+2)= -3 Whats the answer TvT

Iteru [2.4K]

Answer:

The answer is given below

Step-by-step explanation:

$(5y + 10) = - 3$

$5y = - 3 - 10$

$5y = - 13$

$y = - 13 \div 5$

This is the velue of y

<h2>PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE </h2>

8 0

1 year ago

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