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Paraphin [41]
3 years ago
14

Answer this question plz thanks

Mathematics
1 answer:
Marina86 [1]3 years ago
5 0

Answer:

  • Option A

Step-by-step explanation:

The area outside of the semicircle is the difference of the areas of the rectangle and the semicircle.

<u>Area of rectangle:</u>

  • A₁ = w(w + 5) = w² + 5w

<u>Area of the semicircle:</u>

  • A₂ = 1/2*πd²/4 = 1/8*πw²

<u>The area we are looking for is:</u>

  • A = A₁ - A₂
  • A = w² + 5w - 1/8πw²

Correct choice is A

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How do you simplify 3 1/4 x 3/5 someone please help me
kifflom [539]

Answer:

We want to simplify:

(3 + 1/4)*(3/5)

The first step is to write the first term as a single rational number.

We know that:

3*1 = 3

and 4/4 = 1

then:

3*1 = 3*(4/4) = (3*4)/4 = 12/4

We do this because we want to have the same denominator in both numbers, so we can directly add them.

Then we get:

(3 + 1/4)*(3/5) = (12/4 + 1/4)*(3/5) = (13/4)*(3/5)

And remember that in the multiplication of rational numbers the numerator are multiplied together and the same for the denominators, then we get:

(13/4)*(3/5) =  (13*3)/(4*5)

If we solve the multiplications we get:

(13*3)/(4*5) = (39/20)

Now, we can notice that in the numerator we have two prime numbers, 13 and 3.

And in the denominators, we have a 4 (which is equal to 2*2) and a 5.

So the prime numbers in the numerator and the denominator are all different, this means that we can not simplify it furthermore.

Then we have:

(3 + 1/4)*(3/5) = (39/20)

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Solving systems by Substitution Homework y=x+4 y=x-3​
zvonat [6]
There is no solution for this equation since they have the same slope, x/1. The only difference between these two is that their y intercepts are different meaning that they will be parallel lines that will never intersect among one other. For example, think of it as two separate lines that are have the same slope and never gain more distance/units from one another.


Solve:

To solve, you have to get one of this equations into a Ax+By=C equation form, standard equation. Let’s change y=x+4 into a standard equation.

We have to get x and y together and 4 as C.
So let’s subtract x from both sides;

y=x+4
-x -x
————————
-x+y=4

This is a standard equation.

Now let’s substitute.

take the standard equation and plug in y which is x+4 since there is a equation meaning it’s y=x+4


-x+(x+4)=4


Let’s simplify this mess.


-x+x equals 0. So we are left with 4=4.

Subtract 4 from both sides and we get 0=0



This means there is no solution. Hoped this helped.
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If the population changes by 2.5% per year, what percentage does it change in 5 years
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