Please help plzzzzz

Mathematics

2 answers:

zmey [24]3 years ago

6 0

Answer:

Area of the circle= 9π cm²

Step-by-step explanation:

Area of the square = 36cm²

Let the length of each sides of the square be l cm

Therefore, l²= 36cm²

=> l=6cm

length of the square=diameter of the circle

Hence, radius=6/2=3cm

Area of the circle=πr²=π(3)²=9π cm²

inessss [21]3 years ago

5 0

Answer:

9π

Step-by-step explanation:

The area of the square is 36 so the side length is 6 because $\sqrt{36}$ =6 so

the diameter of the circle is 6 and the radius is 3

the area of a circle is πr² so

3²π=

9π

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-BARSIC- [3]

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7 0

3 years ago

The mass of the particles that a river can transport is proportional to the sixth power of the speed of the river. A certain riv

kari74 [83]

The river flows at 2 miles per hour. This is the speed of the current, or the speed at which the water itself is moving.

The mass of the particles moving in river is proportional to the sixth power of 2, or $2^6 = 64$ miles per hour. So, if x is the mass of the particle, then the speed is modeled by an inverse relationship $x * 2^6 = k$ , for some constant k.

For particles that are 15 times the usual mass, the speed of the river itself must increase for the particles to travel at the same speed as before. The mass of the particles is still proportional to the sixth power of the speed of the river, but the speed of the river can no longer be 2 miles per hour. It is some speed y, which we are solving for.

So, the key here is proportional. We can set up two proportions and cross multiply.

$\dfrac{x}{2^6} = \dfrac{15x}{y^6} \\ (x)(y^6)=(2^6)(15x)$

Cancelling our x's (because we don't need to solve for them), we have

$y^6 = 15(2^6) = 15(64)=960$

To solve for y, we must take the sixth root of both sides, or raise both sides to the one-sixth power.

$\sqrt[6]{y^6} = \sqrt[6]{960}$

Using a calculator, we see that $\sqrt[6]{960} = 3.14 \ miles \ per \ hour$ .