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3 years ago

Please answer correctly and no links

Mathematics

1 answer:

victus00 [196]3 years ago

8 0

Answer:

step 3

Step-by-step explanation:

take away 2 add 4 then multiple 9000 then divide 1 then you got your answer 20/56.

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find the number of possible combinations choose one of three books and one of eight CDs to bring on a bus trip

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There is a possibility of 24 combinations I believe

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4 years ago

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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.

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3 years ago

A mechanic earned $983.88 for42.5 hours of work. Which is the best estimate of how much the mechanic

valentina_108 [34]

Answer:

23.15 an hour

Step-by-step explanation:

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3 years ago

Can someone help me????

SpyIntel [72]

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3 years ago

The table to the right shows selected ages of licensed drivers in one country and the corresponding percentiles. Find the percen

PolarNik [594]

Answer:

66%

Step-by-step explanation:

Given :

Age Percentile

75 97

65 90

55 78

45 58

35 37

25 13

20 66

To Find :The percentage of drivers who are younger than 20 is _____%.

Solution:

Refer the given table

The percentile corresponding to age 20 is 66.

Percentile : A data item is said to be in nth percentile of distribution if n% of the distribution are less than that particular data item.

So, drivers who are younger than 20 are said to be in 66 percentile if 66%of the distribution are less than that particular data item.

Hence The percentage of drivers who are younger than 20 is 66%.

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