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2 years ago

I WILL MARK BRAINLIEST

Mathematics

1 answer:

Ber [7]2 years ago

5 0

Answer:

N is (8,5)

Step-by-step explanation:

Find the difference between M, and A, then add it to the M coordinates

The difference between M (x) and A (x) is 3, so you have to add 3 to M's x coordinate to get the N's x coordinate.

Do the same for the y coords and you will get (8,5)

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A circle with area 100π has a sector with a central angle of 2/5π radians.

Snowcat [4.5K]

Answer:

20π square units

Step-by-step explanation:

The sector area is found using the proportion ...

sector area / circle area = sector angle / whole circle angle

Multiplying by "circle area", we get ...

sector area = (circle area)( sector angle / whole circle angle)

= (100π)(2/5π)/(2π)

= (100π)(1/5)

sector area = 20π

3 0

3 years ago

Two workers finished a job in 12 days. How long would it take each worker to do the job by himself if one of the workers needs 1

Lorico [155]

Two workers finished a job in 7.5 days.

How long would it take each worker to do the job by himself if one of the workers needs 8 more days to finish the job than the other worker?

let t = time required by one worker to complete the job alone

then

(t+8) = time required by the other worker (shirker)

let the completed job = 1

A typical shared work equation

7.5%2Ft + 7.5%2F%28%28t%2B8%29%29 = 1

multiply by t(t+8), cancel the denominators, and you have

7.5(t+8) + 7.5t = t(t+8)

7.5t + 60 + 7.5t = t^2 + 8t

15t + 60 = t^2 + 8t

form a quadratic equation on the right

0 = t^2 + 8t - 15t - 60

t^2 - 7t - 60 = 0

Factor easily to

(t-12) (t+5) = 0

the positive solution is all we want here

t = 12 days, the first guy working alone

then

the shirker would struggle thru the job in 20 days.

8 0

2 years ago

Read 2 more answers

The plate is rotated 90° about the origin in the counterclockwise direction. In the image trapezoid, what are the coordinates of

Jet001 [13]

Answer:

The coordinates of the endpoints of the side congruent to side EF is:

E'(-8,-4) and F'(-5,-7).

Step-by-step explanation:

<em>" when point M (h, k) is rotated about the origin O through 90° in anticlockwise direction or we can say counter clockwise. The new position of point </em><em>M (h, k) will become M' (-k, h) "</em>

We are given a trapezoid such that the vertices of trapezoid are:

E(-4,8) , F(-7,5) , G(-4,3) , H(-2,5)

Then the new coordinates after the given transformation is:

E(-4,8) → E'(-8,-4)

F(-7,5) → F'(-5,-7)

G(-4,3) → G'(-3,-4)

H(-2,5) → H'(-5,-2)

Hence the coordinates of the endpoints of the side congruent to side EF is:

E'(-8,-4) and F'(-5,-7).

4 0

3 years ago

<img src="https://tex.z-dn.net/?f=y%20%3D%20%20%5Cfrac%7B12%7D%7Bx%7D%20%20%5C%5C%20y%20%3D%20%20%5Cfrac%7B6%7D%7B%20%7Bx%7D%5E%

soldi70 [24.7K]

Answer:

x = 1/2

y = 24

Step-by-step explanation:

y = 12 / x

y = 6 / x²

12 / x = 6 / x²

x² / x = 6 / 12

x = 1 / 2

y = 12 / x

y = 12 / (1/2)

y = 24

4 0

3 years ago

What is in simplest form? : 2/9+4/9

SIZIF [17.4K]

2/9 + 4/9
first add them and then divide to get the simplest form ....
=6/9
=2/3 ...

Hope it helps !!!

4 0

3 years ago