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12345 [234]
3 years ago
11

What is the area of Georgia rounded to the nearest square mile, The is square mile as 59,424.77?

Mathematics
1 answer:
bazaltina [42]3 years ago
7 0

Answer:

59,425 sq mi

Step-by-step explanation:

When you want to round to the units place, you look at the digit in the number that is in the place to the right of that: the tenths place. Here, that digit is 7, which is more than 4. Because that digit is more than 4, 1 is added to the units place and all the digits to the right of that are dropped.

This gives you 59,424 +1 = 59,425.

_____

If the tenths digit were 4 or less, no change would be made to values in the units place or to the left of that. The tenths digit and digits to the right would be dropped.

... 59,424.3 ⇒ 59,424 . . . . . for example

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Answer:

The cross section would be a square.

Step-by-step explanation:

The 2 ends of the rectangular prism are squares while the other 4 sides are rectangles. A cross section would be perpendicular to the rectangles, making the cross section a square. The cross section would be parallel to the end squares.

3 0
2 years ago
Find a point on the ellipsoid x2+y2+4z2=36x2+y2+4z2=36 where the tangent plane is perpendicular to the line with parametric equa
Anvisha [2.4K]

Answer:

A point on the ellipsoid is (-4,2,2) or (4,-2,-2)

Step-by-step explanation:

Given equation of ellipsoid f(x,y,z) :x^2+y^2+4z^2=36

Parametric equations:

x=-4t-1

y=2t+1

z=8t+3

Finding the gradient of function

\nabla f(x,y,z)=\\\nabla f(x,y,z)=

So, The directions vectors=(-4,2,8)

Now the line is perpendicular to plane when direction vector is parallel to the normal vector of line

\nablaf(x,y,z)=(2x,2y,8z)=\lambda(-4,2,8)

So, 2x=-4\lambda

\Rightarrow x=-2\lambda

2y=2\lambda\\\Rightarrow y=\lambda\\8z=8\lambda\\\Rightarrow z=\lambda

Substitute the value of x , y and z in the ellipsoid equation

(2\lambda)^2+(\lambda)^2+4(\lambda)^2=36\\9(\lambda)^2=36\\\lambda^2=4\\\lambda=\pm 2

With \lambda = 2

x=-2(2)=-4

y=2

z=2

With\lambda =- 2

x=-2(-2)=4

y=-2

z=-2

Hence a point on the ellipsoid is (-4,2,2) or (4,-2,-2)

7 0
3 years ago
How to you figure out tax rate? for example, 52.25 what an 8% sales tax
lions [1.4K]
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So the tax is $4.18, and the total cost is $56.43
7 0
2 years ago
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Arlecino [84]
Each piece of cake costs $.56 ($.55875)
I divided 8.94 by 16 to find how much one piece costs.
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A student says that the measures of coterminal angles are never opposites of each other. Is the student correct?
garri49 [273]

Answer:

Wrong

Step-by-step explanation:

The student is wrong. Two angles are coterminal if and only if the difference between their measures is a multiple of 360°.

The difference between the angles 180° and –180° is 360°, and they are coterminal. Therefore the student is WRONG.

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