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quester [9]
3 years ago
14

Find the volume of a cone with a radius of 7 centimeters and a height of two times the diameter. Use 3.14 for \piπ. Round your a

nswer to the nearest whole number.
Mathematics
1 answer:
Colt1911 [192]3 years ago
6 0
1436 would be your answer
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Find the tangent plane to the given surface of f(x,y)=6- 6/5 x-y at the point (5, -1, 1). Make sure tat your final answer for th
HACTEHA [7]

Answer:

Required equation of tangent plane is z=\frac{6}{5}(x-5y-11).

Step-by-step explanation:

Given surface function is,

f(x,y)=6-\frac{6}{5}(x-y)

To find tangent plane at the point (5,-1,1).

We know equation of tangent plane at the point $(x_0,y_0,z_0)[/tex] is,

z=f(x_0,y_0)+f_x(x_0,y_0)(x-x_0)+f_y(x_0,y_0)(y-y_0)\hfill (1)

So that,

f(x_0,y_0)=6-\frac{6}{5}(5+1)=-\frac{6}{5}

f_x=-\frac{6}{5}y\implies f_x(5,-1,1)=\frac{6}{5}

f_y=-\frac{6}{5}x\implies f_y(5,-1,1)=-6

Substitute all these values in (1) we get,

z=\frac{6}{5}(x-5)-6(y+1)-\frac{6}{5}

\therefore z=\frac{6}{5}(x-5y-11)

Which is the required euation of tangent plane.

4 0
3 years ago
The sum of 42 and x is equal to 97.45. What's the equation for the sentence?!! Help!
gogolik [260]

Answer:

X = 97.45 - 42

Step-by-step explanation:

If 42 + X = 97.45, X needs to be 97.45 - 42

you can do the same thing with smaller numbers, for example:

5 + X = 7

7 - 5= 2 and you can check for sure that this is the answer by adding them together 5 + 2= 7 so it's definitely the right answer

so for this question, 97.45- 42 = 55.45 so that's X

you can check that by 55.45 + 42 and if the answer is 97.45 that's the right answer!

I hope that makes sense

8 0
2 years ago
Can any help me with these
r-ruslan [8.4K]
I can only clearly see #5.

A mile has 5,280 feet.

Divide 18,472 by 5,280.
18,472 / 5,280 = 3.5

18,472 feet is about 3.5 miles.
4 0
3 years ago
Read 2 more answers
Order the rational numbers from least to greatest.
Verdich [7]

Answer:

d. -7 1/8, -3.62, -1/2, 0, 1.75

Step-by-step explanation:

7 0
3 years ago
Solve for g: 4g/14 - 3/7 - g/14 = 3/14
Luden [163]
<span><u><em>Answer:</em></u>
g = 3

<u><em>Explanation:</em></u>
To solve for g, we will need to isolate the g on one side of the equation.
<u>This can be done as follows:</u>
</span>\frac{4g}{14} -  \frac{3}{7} -  \frac{g}{14} =  \frac{3}{14}<span>

<u>1- multiply all terms by 14 to get rid of the fraction:</u>
4g - 6 - g = 3

<u>2- Combine like terms:</u>
4g - g = 3 + 6
3g = 9

<u>3- Isolate the g:</u>
</span>\frac{3g}{3} =  \frac{9}{3}
<span>
g = 3

Hope this helps :)</span>
8 0
3 years ago
Read 2 more answers
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