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2 years ago

SOMEBODY HELP ME OUT !!

Mathematics

1 answer:

Naddika [18.5K]2 years ago

6 0

Answer:

Step-by-step explanation:

Under a clockwise rotation about the origin of 90°

a point (x, y ) → (y, - x ) , thus

X(- 1, - 3 ) → X'(- 3, 1 )

Y(0, 0 ) → Y'(0, 0 )

Z(1, - 3 ) → Z'(- 3, - 1 )

You might be interested in

What’s this question

shusha [124]

Multiply the first equation by -1

-3x-y=-4

2x+y=5

Add them up

-x=1

So x=-1

And y=7

So the first option is correct

8 0

2 years ago

Find the surface area of a cylinder with a base radius of 2 yd and a height of 3 yd.

kherson [118]

Answer:

20 π

Step-by-step explanation:

The surface area of a cylinder is made up of 2 circles and its side.

To find the circles' areas, use the area formula for a circle: A = π $r^2$ .

Since our radius is 2 yd, we can substitute r = 2 into this formula.

A = π $2^2$ = 4π

Now remember, this is only the area of once circle. Multiply 4π by 2 to get the area of both circles: 8π.

Now we need to find the surface area of the side.

If we flatten it out, we can see that the side is actually a curled up rectangle.

The length is the circumference of the circle and the width is the height of the cylinder.

To find the circumference, use the circumference formula for a circle: C = 2πr.

Substitute r = 2 into the formula.

C = 2π2 = 4π

Now that we know that the length is 4π, we can multiply the length by the width to find the area of the cylinder's side.

l = 4π

w = 3

A = lw = 4π * 3 = 12π

Finally, we can add the areas of the circles and the side to get the total surface area.

8π + 12π = 20π

And that is your answer!

Please mark as Brainliest! :)

3 0

2 years ago

Help plz I need to solve this

tankabanditka [31]

Answer:

2,5

Step-by-step explanation:

5 0

1 year ago

Read 2 more answers

Taylor took 6 hours to drive home from college for Thanksgiving break, a total distance of 290 miles.

vredina [299]

Answer: at 50 mph, she drove for 4 hours.

at 45 mph, she drove for 2 hours.

Step-by-step explanation:

Let t represent the time that she spent driving at 50 miles per hour.

Taylor took 6 hours to drive home from college for Thanksgiving break. This means that the time that she spent driving at 45 miles per hour is (6 - t) hours.

Distance = speed × time

Distance covered while driving 50 miles per hour is

50t

Distance covered while driving 45 miles per hour is

45(6 - t)

Since the total distance that she drove is 290 miles, it means that

50t + 45(6 - t) = 290

50t + 270 - 45t = 290

50t - 45t = 290 - 270

5t = 20

t = 20/5 = 4

At 45 miles per hour, she drove at

6 - 4 = 2 hours

7 0

3 years ago

A and B can fill a cistern in 4 hours. A and C can fill

kirill [66]

Answer:

20 hours

Step-by-step explanation:

We can work easier if we think in terms of an hour

the first equation that we can write is

A + B = 1/4 (its meaning is that in an hour A and B fill 1/4 of the cistern)

the second equation we can write is

A + C = 1/5 (its meaning is that in an hour A and C fill 1/5 of the cistern)

the third equation that we can write is

B = 2C (its meaning is that in an hour B fill 2 times C the cistern)

now we can substitute the value of B in the first two equations

A + 2C = 1/4

A + C = 1/5

A = 1/5 - C

1/5 - C + 2C = 1/4

C = 1/4 -1/5

C = (5-4)/20

C = 1/20 (this means that in an hour C will fill 1/20 of the cistern, so it takes 20 hours to fill the entire cistern)

A = 1/5 - 1/20

A = (4-1)/20 = 3/20

B = 1/20 *2 = 1/10

4 0

2 years ago