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3 years ago

What sequence of transformation is equivalent to Ro,180

Mathematics

1 answer:

qwelly [4]3 years ago

4 0

9514 1404 393

Answer:

reflection across the x- and y-axes (in either order)
reflection across the origin

Step-by-step explanation:

Rotation of a figure by 180° about the origin puts each of its points on the opposite side of the origin. That can be accomplished also by either of ...

reflection across the origin
reflection across the x- and y-axes, in either order

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The coefficient of the a2 term is

Elena-2011 [213]

Answer:

-2

Step-by-step explanation:

The coefficient is the number in front of the variable.

5 0

3 years ago

Work out the volume of the shape

pashok25 [27]

Answer:

$\large\boxed{V=\dfrac{1,421\pi}{3}\ cm^3}$

Step-by-step explanation:

We have the cone and the half-sphere.

The formula of a volume of a cone:

$V_c=\dfrac{1}{3}\pi r^2H$

r - radius

H - height

We have r = 7cm and H = (22-7)cm=15cm. Substitute:

$V_c=\dfrac{1}{3}\pi(7^2)(15)=\dfrac{1}{3}\pi(49)(15)=\dfrac{735\pi}{3}\ cm^3$

The formula of a volume of a sphere:

$V_s=\dfrac{4}{3}\pi R^3$

R - radius

Therefore the formula of a volume of a half-sphere:

$V_{hs}=\dfrac{1}{2}\cdot\dfrac{4}{3}\pi R^3=\dfrac{2}{3}\pi R^3$

We have R = 7cm. Substitute:

$V_{hs}=\dfrac{2}{3}\pi(7^3)=\dfrac{2}{3}\pi(343)=\dfrac{686\pi}{3}\ cm^3$

The volume of the given shape:

$V=V_c+V_{hs}$

Substitute:

$V=\dfrac{735\pi}{3}+\dfrac{686\pi}{3}=\dfrac{1,421\pi}{3}\ cm^3$

7 0

3 years ago

PLEASE HELP!! • Which of these are equivalent to -11/4 ? Choose ALL that apply.

weeeeeb [17]

Answer: -11 divided by 4 , 11 divided by -4 , -11/4 , 11/-4 ,

Step-by-step explanation:

I got it right on iready

5 0

3 years ago

A running group has 38 members. Each group member completed half marathon (13.1 miles). The average time to complete is 110 minu

Vikki [24]

Answer:

They took 4,180 minutes total to complete the course.

Step-by-step explanation:

The average time is given by the sum of each individual time of the members divided by the number of members on the group. So if we want to know the total time they took to complete the course we need to take the average and multiply it by the number of people in the group. So we have:

total time = average*number of members = 110*38 = 4180 minutes

They took 4,180 minutes total to complete the course.

8 0

4 years ago

Can you help? photo is included

laiz [17]

Answer:

Step-by-step explanation:

f(x)=-4x+2

g(x)=x²+1

(gof)(x)=g(f(x))=g(-4x+2)=(-4x+2)²+2=16x²-16x+4+2=16x²-16x+6

(gof)(3)=16(3)²-16(3)+6=144-48+6=150-48=102

3 0

4 years ago

What sequence of transformation is equivalent to Ro,180​

What sequence of transformation is equivalent to Ro,180