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3 years ago

15 POINTS

Mathematics

1 answer:

Liono4ka [1.6K]3 years ago

7 0

Answer:

The ruins of the day

Painted with a scar

And the more I straighten out

The less it wants to try

The feelings start to rot

One wink at a time

Oh oh

Forgiving who you are

For what you stand to gain

Just know that if you hide

It doesn't go away

When you get out of bed

Don't end up stranded

Horrified with each stone

On the stage

My little dark age

Picking through the cards

Knowing what's nearby

The carvings on the face

Say they find it hard

And the engine's failed again

All limits of disguise

The humor's not the same

Coming from denial

Oh oh

I grieve in stereo

The stereo sounds strange

I know that if you hide

It doesn't go away

If you get out of bed

And find me standing all alone

Open-eyed

Burn the page

My little dark age

I grieve in stereo

The stereo sounds strange

You know that if it hides

It doesn't go away

If I get out of bed

You'll see me standing all alone

Horrified

On the stage

My little dark age

Giddy with delight

Seeing what's to come

The image of the dead

Dead ends in my mind

Policemen swear to God

Love's seeping from the guns

I know my friends and I

Would probably turn and run

If you get out of bed

Come find us heading for the bridge

Bring a stone

All the rage

My little dark age

I grieve in stereo

The stereo sounds strange

I know that if you hide

It doesn't go away

If you get out of bed

And find me standing all alone

Open-eyed

Burn the page

My little dark age

All alone

Open-eyed

Burn the page

My little dark age

Step-by-step explanation:

You might be interested in

A square fits exactly inside a circle with each of its vertices being on the circumference of the circle

Karo-lina-s [1.5K]

Draw or sketch out any problems like this, otherwise they appear abstract.

A circle’s area can be calculated by (pi d^2)/4 We have an area of 56 cm (^2?), so

pi d^2 = 56 x 4 (or 224) d^2 = 224/pi, d = √(224/pi)

A circle circumscribed around a square has a diameter equivalent to the length of the square’s diagonal, so the square’s diagonal is √(224/pi) (same as the circle diameter…)

A square’s side can be calculated, knowing its diagonal length, by use of Pythagoras’ theorem… The diagonal √(224/pi) is squared, divided by two, since the square’s sides are all equal, and the resulting number’s square root is calculated.

Squaring √(224/pi), we get 224/pi, and dividing by two, we get 112/pi, which is 35.6507 (cm^2), and the square root is 5.9708 cm, the side of the square.

I cannot emphasize enough that a drawing or sketch is an invaluable tool for these tasks, it saves having to retain a “picture” in your head. Note that a calculator was not required up until the last moment, dividing 112 by pi, and finding the square root of that answer. Picking up the calculator too early obliges you to transcribe numbers from the calculator to paper, and that can lead to issues. Try to enjoy maths, see it as a challenge not a chore. (and use correct units!)
2.3K views
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3 years ago

Solve the following system of equations for a and for b:

viktelen [127]

Answer:

$a=3\\b=1$

Step-by-step explanation:

$9a+3b=30\\8a+4b=28$

Let's solve the second equation for a to later on replace it in the first equation.

$8a+4b=28\\8a=28-4b\\a=\frac{28-4b}{8}$

Now plug this into the first equation.

$9a+3b=30\\9(\frac{28-4b}{8})+3b=30$

Distribute the 9

$(\frac{252-36b}{8}) +3b=30$

Break down the fraction.

$\frac{252}{8}-\frac{36b}{8}+3b=30$

Simplify.

$\frac{63}{2}-\frac{9}{2}b+3b=30$

Subtract $\frac{63}{2}$

$-\frac{9}{2}b+3b=30-\frac{63}{2}$

Combine like terms.

$\frac{-9+2*3}{2}b=\frac{30*2-63}{2}$

$\frac{-9+6}{2}b=\frac{60-63}{2}$

$\frac{-3}{2}b=\frac{-3}{2}$

Muliply by the reciprocal or inverted fraction next to b.

$(-\frac{2}{3})(-\frac{3}{2}) b=-\frac{3}{2}(-\frac{2}{3})$

$b=1$

Now plug this value into any of the equations to find the value of a.

$8a+4b=28\\8a+4(1)=28\\8a+4=28\\8a=28-4\\8a=24\\a=\frac{24}{8}\\ a=3$

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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3x +2 = 4x -4

6 = x

Then the total angle measure of angle RST is ...

(3x +2) +(4x -4) = 7x -2 = 7(6) -2 = 40 . . . degrees

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