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3 years ago

If you sleep 33% of the year, how many months do you spend sleeping?

Mathematics

1 answer:

Oksanka [162]3 years ago

4 0

Answer:

3.96 months

Step-by-step explanation:

12 months in a year

12 * 33%= 3.96 months

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Circle 1 is centered at (−4, 5) and has a radius of 2 centimeters. Circle 2 is centered at (2, 1) and has a radius of 6 centimet

IgorC [24]

Basically, you have two circles. You are asked to take circle 1 and "move it" so that it is on top of circle 2. This process of moving is called a translation and can be thought of as sliding. You do this by ensuring that the two have the same center. So, starting at (-4,5) how do you have to move to end up at (2,1)?

To do this we need to move right 6 as the x-coordinate goes from -4 to 2. We also need to move down 4 as the y-coordinate goes from 5 to 1. So we add 6 to the x-coordinate and subtract 4 from the y-coordinate. The transformation rule is (x+6, y-4).

Once you do this the circles have the same center. Next you wish to dilate circle 1 so it ends up being the same size at circle 2. That means you stretch it out in such a way that it keeps its shape. Circle 1 has a radius of 2 centimeters and circle 2 has a radius of 6 centimeters. That is 3x bigger. So we dilate by a factor of 3.

Translations and dilations (along with reflections and rotations) belong to a group known as transformations.

3 0

3 years ago

Is the following a function ?

Vanyuwa [196]

Yes it is a function

6 0

3 years ago

Find the x- and y-intercepts for the linear equation –3x + 4y = 24.

Sav [38]

Answer:

x- intercept = - 8, y- intercept = 6

Step-by-step explanation:

To find the x- intercept let y = 0 and solve for x

- 3x + 4(0) = 24

- 3x = 24 ( divide both sides by - 3 )

x = - 8 ← x- intercept

To find the y- intercept let x = 0 and solve for y

- 3(0) + 4y = 24

4y = 24 ( divide both sides by 4 )

y = 6 ← y- intercept

3 0

3 years ago

Select the correct answer from each drop-down menu. Javier purchased a digital camera for $384. The value of the camera deprecia

Eva8 [605]

Answer:

it will take 3 yrs for the value of camera to reach $162.

Step-by-step explanation:

Pd = P(1-R/100)^T

162 = 384(1-25/100)^T

162/384 = (3/4)^T

27/64 = (3/4)^T

(3/4)^3 = (3/4)^T

T = 3

3 0

3 years ago

PLEASE HELP me with this!! no explanation needed:)

Yuki888 [10]

Answer:

Step-by-step explanation:

8 0

3 years ago