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3 years ago

CHECK YOUR UNDERSTANDING

1 answer:

5 0

If Kyle has invested $20,000 of the total $160,000 invested, that means the other give investors invested $140,000. Divide the about they invested by the total amount invested, and you will get .875. That is equal to 87.5%. The five investors own 87.5% of the business.

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You are going to create a circle graph to represent some data. How many degrees should a section representing 65 out of a hundre

hjlf

To figure out the degrees, you would create a ratio.

Since there are 360 degrees in your circle, that would be representative to 100 (because both are the total of what you want to find), and x would be representative to what degrees 65 is equal to.

your ratio should look like,

65/100=x/360

cross multiply and get

65(360)=100x

23400=100x

x=234

It looks hard to read like this, but if you write it out on your paper it should make more sense!

8 0

3 years ago

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

There are around 6,678,000 households with pet rabbits in the United States. There are about 126.2 million households in the U.S

Ksju [112]

Answer:

Step-by-step explanation:

Divide the household with pet rabbits by the total number of household in the U.S. to get the proportion of U.S. households with pet rabbits. Then, convert the proportion to a percentage.

6,678,000/126,200,000 ≈ 0.05 = 5%

8 0

3 years ago

Read 2 more answers

What is the common denominator for 32 and 3

Leya [2.2K]

Just multiply 32 by 3

4 0

3 years ago

Pls help - Left 1 day

aalyn [17]

Answer: