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3 years ago

11. Which regular polygon has a minimum rotation of 45° to carry the polygon onto itself?

Mathematics

1 answer:

ASHA 777 [7]3 years ago

3 0

Answer:

the answer is a octagon that has rotation of 45degrees

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3 years ago

A play train travels around a christmas tree in a circle. the train tracks measure 6 feet in diameter. what is the length of the

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3 years ago

write an expression that can be used to find the nth term for each sequence listed below.7, 13, 19, 25, 31,.... -1,2,5,8,11,14

LenKa [72]

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3 years ago

Please I need some help!

Schach [20]

(f+g)(x) = 8x+2

(f-g)(x) = 4x-6

Step-by-step explanation:

Given

$f(x) =6x-2\\g(x)=2x+4$

we have to find

$(f+g)(x)=f(x)+g(x)\\=(6x-2)+(2x+4)\\=6x-2+2x+4\\=6x+2x-2+4\\=8x+2$

$(f-g)(x)=f(x)-g(x)\\=(6x-2)-(2x+4)\\=6x-2-2x-4\\=6x-2x-2-4\\=4x-6$

Hence,

(f+g)(x) = 8x+2

(f-g)(x) = 4x-6

Keywords: Functions, Operations on Functions

Learn more about functions at:

#LearnwithBrainly

7 0

3 years ago

"A rectangle has a height of 5 cm and its base is increasing at a rate" of 3/2 cm/min. When its area is 60 cm2, at what rate is

sukhopar [10]

Answer:

The diagonal is increasing at the rate of 119/104cm/min of the given rectangle.

Step-by-step explanation:

Dimensions of the rectangle

Height = 5cm

Rate of base = 3/2 cm/min

Area = 60cm^2

We know the area of a rectangle of given by = base* Height

b*h = 60

b*5 = 60

b = 12cm

Applying Pythagoras theorem while drawing a diagonal to the rectangle

$b^2 +h^2 = D^2\\$

$5^2 +12^2 = 13^2$

so our diagonal will be 13cm

Upon differentiating the area of the rectangle we get

b*h = A=60cm^2

using the chain rule of differentiation

h*db/dt + b*dh/dt = 0

b*dh/dt = -h*db/dt

12*dh/dt = -5*3/2

dh/dt = -5/8 cm//min

so the height of the rectangle is decreasing at the rate of -5/8cm/min

now we have all the measurements we need

b = 12 , db/dt = 3/2cm/min

h = 5 , dh/dt = -5/8 cm/min

$b^2 +h^2 = D^2$

Upon differentiating we get

2b*db/dt + 2h*dh/dt = 2D*dD/dt

b*db/dt + h*dh/dt = D*dD/dt

12*3/2 + 5*(-5/8) = 13*dD/dt

18 -25/8 = 13*dD/dt

$\frac{144-25}{8}$ = 13*dD/dt

dD/dt = $\frac{119}{104} cm/min$

Therefore the diagonal is increasing at the rate of 119/104cm/min of the given rectangle.

6 0

3 years ago