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strojnjashka [21]
1 year ago
10

A 1500 kg hippo is completely submerged, standing on the bottom of a lake. What is the approximate value of the upward normal fo

rce on the hippo?
Mathematics
1 answer:
juin [17]1 year ago
7 0

Answer:

About 428 N

Step-by-step explanation:

Weight = 1,500 * 9.8 = 14,700 N

Density = Mass ÷ Volume

1,030 = 1,500 ÷ V

V = 1,500 ÷ 1,030  = 1.46 m^3.

Buoyant force = Density * g * V  

Buoyant force = 1,000 * 9.8 * (1,500 ÷ 1,030)

Buoyant force = 9,800 * (1,500 ÷ 1,030)  = 14,272 N.

Net force = 14,700 – [(9,800 * (1,500 ÷ 1,030)]

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Ann took a taxi home from the airport. The taxi fare was \$2.10$2.10dollar sign, 2, point, 10 per mile, and she gave the driver
Studentka2010 [4]

Answer:

2.10x+5=49.10

Distance = 21 miles.  

Step-by-step explanation:

Let x be the distance in miles between the airport and Ann's home.

We have been given that Ann took a taxi home from the airport. The taxi fare was $2.10 per mile. So fare for x miles will be 2.10x.

We are also told that she gave the driver a tip of $5. Ann paid a total of $49.10. This means that fare of x miles and tip given to driver equals $49.10. We can represent this information in an equation as:

2.10x+5=49.10

Now let us solve our equation.

2.10x=49.10-5

2.10x=44.10

x=\frac{44.10}{2.10}=21

Therefore, the equation 2.10x+5=49.10 represents the distance in miles between the airport and Ann's home and distance between Ann's home and airport in 21 miles.


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1 year ago
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The point (Negative StartFraction StartRoot 2 EndRoot Over 2 EndFraction, StartFraction StartRoot 2 EndRoot Over 2 EndFraction)
Ierofanga [76]

Answer:

\cot(x)  =  - 1 \: and \:  \cos(x)  =  -  \frac{ \sqrt{2} }{2}

Step-by-step explanation:

The given point is :

( -  \frac{ \sqrt{2} }{2}, \frac{ \sqrt{2} }{2})

This point is in the second quadrant.

This means:

\cos(x) = -  \frac{ \sqrt{2} }{2},  \sin(x) =  \frac{ \sqrt{2} }{2})

Cotangent is cosine/sine

\cot(x)=\frac{ \frac{ \sqrt{2} }{2} }{ -  \frac{ \sqrt{2} }{2} }  =  - 1

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Express 3.222......in p/q form​
beks73 [17]

Answer:

3.22222......  = \frac{29}{9}

Step-by-step explanation:

In this question we have to convert the number given in recurrent decimals into fraction.

Recurrent decimal number is 3.22222.......

Let x = 3.2222.........   -------(1)

Multiply this expression by 10.

10x = 32.2222........... -------(2)

Now subtract the expression (1) from (2),

10x = 32.22222.....

<u>    x = 3.22222.......</u>

9x = 29

x = \frac{29}{9}

Therefore, recurrent decimal number can be written as \frac{29}{9} which is in the form of \frac{p}{q}.

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AnnZ [28]

Answer:

(\sqrt[7]{3} )^{4}

Step-by-step explanation:

The only radical that matches the equivalent answer is the fifth one down. We can easily eliminate the radicals without exponents on the outside, since we know they won't create leftover fractions. So that leaves us with the second, fourth and fifth answers to contemplate.

Let's look at (\sqrt[4]{3} )^{7} and \sqrt[4]{3^{7} } first. It's good to know that these are equivalent radicals. The numbers are the same, and they will produce the same answers.

When you do the math, the exponent rule gives us fractions of \frac{7}{4} for exponents, and eventually, a 3 * 3^{\frac{3}{4} } for both answers. So these are eliminated.

Now, for (\sqrt[4]{3}^{7}, we can easiy simplify by changing the 7th root to a fraction in our exponent. Use the rule: \sqrt[n]{x} = x^{\frac{1}{n} }

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And we can see the answer we're looking for! If you use this method to look at the other problems, you'll see that this is the only radical that simplifies to the required answer.

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