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allochka39001 [22]
3 years ago
10

Select the correct answer from each drop-down menu. The regular hexagon ABCDEF rotates 240º counterclockwise about its center to

form hexagon A′B′C′D′E′F′. Point C′ of the image coincides with point of the preimage. Point D′ of the image coincides with point of the preimage.
Mathematics
2 answers:
masha68 [24]3 years ago
7 0

Answer:

The regular hexagon ABCDEF rotates 240º counterclockwise about its center to form hexagon A′B′C′D′E′F′. Point C′ of the image coincides with point _E_ of the preimage. Point D′ of the image coincides with point _F_ of the preimage.

Step-by-step explanation:

Maurinko [17]3 years ago
3 0

Solution:

The point C' of the image coincides with point E of the preimage and D' of the image coincide with the point F of the preimage.

Explanation:

The regular hexagon have 6 corner points ABCDEF.

The complete angle about the center  because it is a close figure as shown in given figure. It means the line from two consecutive vertices to the center of hexagon make an angle of  because 6 lines from the vertices to the center divides the center angle in 6 equal parts.

It is given that the hexagon is rotated at  counterclockwise about the center, therefore the image of vertices shifts 4 places counterclockwise.

In figure first hexagon show preimage and second hexgon shows image. From figure it is noticed that the point C' of the image coincides with point E of the preimage and D' of the image coincide with the point F of the preimage.

therefore, the point C' of the image coincides with point E of the preimage and D' of the image coincide with the point F of the preimage.

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nadezda [96]

Answer:

Step-by-step explanation:

We have volume of cone as

V=\frac{1}{3} \pi r^2 h

and for a cone always r/h = constant

Given that r' = rate of change of radius = -7 inches/sec

(Negative sign because decresing)

V' =- 948 in^3/sec

Radius = 99 inches and volume = 525 inches

Height at this instant = \frac{525}{\frac{1}{3} \pi (99)^2} \\=\frac{0.1607}{\pi}

Let us differentiate the volume equation with respect to t using product rule

V=\frac{1}{3} \pi r^2 h\\V' = \frac{1}{3} \pi[2rhr'+r^2 h']\\-948 = \frac{1}{3} \pi[2(99)(-7)(\frac{0.1607}{\pi})+99^2 h']\\

-948 = \frac{1}{3} \pi[2(99)(-7)(\frac{0.1607}{\pi})+99^2 h']\\-948 = 33(3.14)(-2.25/3.14  + 99 h')\\-9.149=-0.72+99h'\\-8.429 = 99h'\\h' = 0.08514

Rate of change of height = 0.08514 in/sec

8 0
3 years ago
If the sales tax for the city of Los Angeles is 9.75%, how much tax would you pay for an item that costs $200.00?
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MArishka [77]

Answer:

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3 years ago
Hello there!
otez555 [7]

Answer:

24  Domain: s>=2  or s<=-2

25. 3x^2 +14x +10

26. x^2 -2x+5  

Step-by-step explanation:

24.  Domain is the input or s values

square roots must be greater than or equal to zero

s^2-4 >=0

Add 4 to each side

s^2 >=4

Take the square root

s>=2  or s<=-2


25.  f(g(x))  stick g(x) into f(u) every place you see a u

f(u) = 3u^2 +2u-6

g(x) = x+2

f(g(x) = 3(x+2)^2 +2(x+2) -6

Foil the squared term

       = 3(x^2 +4x+4) +2x+4-6

Distribute

       = 3x^2 +12x+12 +2x+4-6

Combine like terms

   =3x^2 +14x +10


26 f(g(x))  stick g(x) into f(u) every place you see a u

f(u) = u^2+4

g(x) = x-1

f(g(x) = (x-1)^2 +4

Foil the squared term

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7 0
3 years ago
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IceJOKER [234]

Answer:

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Step-by-step explanation:

1. yes, they work together to set the scene by providing details to where she is and why. the sentences describe her emotions without making the paragraph boring.

2. for the most part, the reasoning for her being there afterschool could have been mentioned first but the way it is currently written makes sense regardless.

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