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3 years ago

Is 3.14 irrational or rational

Mathematics

1 answer:

mixas84 [53]3 years ago

3 0

Answer:

rational

Step-by-step explanation:

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The five circles making up this archery target have diameters of length $2,4,6,8,$ and $10$. What is the total red area?

Sliva [168]

Answer:

$A=15\pi\ units^2$

Step-by-step explanation:

<u><em>The picture of the question in the attached figure</em></u>

we know that

It is given that the diameter of 5 circles making up the archery is 2,4,6,8, and 10.

To determine the total red area, we use the formula for area of the circle

$A=\pi r^{2}$

step 1

Find the Area of the 1st red circle

$r=2/2=1\ unit$ ---> the radius is half the diameter

$A_1=\pi (1)^{2}=\pi\ units^2$

step 2

Find the Area of the 2nd white circle

$r=4/2=2\ units$ ---> the radius is half the diameter

$A_2=\pi (2)^{2}=4\pi\ units^2$

step 3

Find the Area of the 3rd red circle

$r=6/2=3\ units$ ---> the radius is half the diameter

$A_3=\pi (3)^{2}=9\pi\ units^2$

step 4

Find the Area of the 4th white circle

$r=8/2=4\ units$ ---> the radius is half the diameter

$A_4=\pi (4)^{2}=16\pi\ units^2$

step 5

Find the Area of the 5th red circle

$r=10/2=5\ units$ ---> the radius is half the diameter

$A_5=\pi (5)^{2}=25\pi\ units^2$

The total red area is given by

$A=A_5-A_4+A_3-A_2+A_1$

substitute

$A=25\pi-16\pi+9\pi-4\pi+\pi$

$A=15\pi\ units^2$

7 0

3 years ago

The following points for a function are graft in a coordinate plane: (1,2), (3,8), (4,11), and (6,17).

Yanka [14]

I don’t really know but I want to answer so I can get the account to 100%

4 0

3 years ago

A student claims that 8^3 • 8^5 is greater than 1 explain whether the student is correct or not

Mumz [18]

Answer:

The expression 8^3 • 8^5 is greater than one.

Step-by-step explanation:

The expression $8^{3}*8^{5} = 8^{8}$ means that 8 must be multiplied 8 times by itself. Considering 8*8 = 64, every time this expression is multiplied by 8, it will become larger than 64. Since 64 > 1, the expression will be larger than one.

7 0

4 years ago

Abby has $500 in her savings account. She earns simple interest at 5% per annum. Calculate the interest she earns after two year

kherson [118]

Answer:

50$

Step-by-step explanation:

5% of 500=25

If you earn 25 per year then in two years you will earn

25+25=50$

4 0

3 years ago

Evaluate the line integral ?Cx2zds, where C is the line segment from (0,5,2) to (2,7,8).

Leno4ka [110]

Parameterize $C$ by

$\mathbf r(t)=(x(t),y(t),z(t))=(1-t)(0,5,2)+t(2,7,8)=(2t,5+2t,2+6t)$
$\implies\mathrm ds=\sqrt{\left(\dfrac{\mathrm dx}{\mathrm dt}\right)^2+\left(\dfrac{\mathrm dy}{\mathrm dt}\right)^2+\left(\dfrac{\mathrm dz}{\mathrm dt}\right)^2}\,\mathrm dt=\sqrt{44}\,\mathrm dt$

So the line integral is equivalent to

$\displaystyle\int_Cx^2z\,\mathrm ds=\sqrt{44}\int_{t=0}^{t=1}(2t)^2(2+6t)\,\mathrm dt=\frac{52\sqrt{11}}3$

5 0

4 years ago