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3 years ago

24.5 x 24.5 x 3.14

Mathematics

1 answer:

Sindrei [870]3 years ago

6 0

Answer:

1884.785

Step-by-step explanation:

24.5 × 24.5=600.25

600.25 × 3.14=1884.785

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The graph below shows the price of different numbers of beach balls at a store: Which equation can be used to determine p, the c

lys-0071 [83]

Answer:

p = 5.50b

Step-by-step explanation:

2 beach balls cost 11

4 beach balls cost 22

6 beach balls cost 33

So each (1) ball b costs 5.50 ($) p

7 0

3 years ago

Which is the next step in the following construction of a square?

Sedbober [7]

Answer:

(B)Place compass at point A, and open compass to greater than P.

Step-by-step explanation:

The following steps will be followed in the construction of a Square inscribed in a circle.

Draw a circle and label the center P.
Draw the diameter of the circle, labeling the endpoints A and B.
Construct the perpendicular bisector of the diameter, AB.
Label the points where the bisector intersects the circle as C and D.
Connect points A to B to C to D to form the square.

Now to construct a perpendicular bisector of AB, the next step is to place the compass at A and open the compass to greater than the center P of the circle. We do the same at point B.

The correct option is B.

7 0

3 years ago

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Assume that all the given functions have continuous second-order partial derivatives. If z = f(x, y), where x = 9r cos(θ) and y

vfiekz [6]

Answer with Step-by-step explanation:

We are given that all the given functions have continuous second-order partial derivatives.

$z=f(x,y)$

Where $x=9rcos\theta,y=9r sin\theta$

We have to find

A. $\frac{\delta z}{\delta r}$

We know that

$\frac{\delta z}{\delta r}=\frac{\delta z}{\delta x}\frac{\delta x}{\delta r}+\frac{\delta z}{\delta y}\frac{\delta y}{\delta r}$

Using this formula

$\frac{\delta z}{\delta r}=9cos\theta \frac{\delta z}{\delta r}+9sin\theta\frac{\delta z}{\delta r}$

$\frac{\delta z}{\delta r}=\frac{x}{r}\frac{\delta z}{\delta r}+\frac{y}{r}\frac{\delta z}\delta y}$

B. $\frac{\delta z}{\delta \theta}$

$\frac{\delta z}{\delta \theta}=\frac{\delta z}{\delta x}\frac{\delta x}{\delta\theta }+\frac{\delta z}{\delta y}\frac{\delta y}{\delta\theta}$

$\frac{\delta z}{\delta \theta}=-9rsin\theta\frac{\delta z}{\delta x}+9rcost\theta\frac{\delta z}{\delta y}$

$\frac{\delta z}{\delta \theta}=-y\frac{\delta z}{\delta x}+x\frac{\delta z}{\delta y}$

C. $\frac{\delta^2 z}{\delta r\delta\theta}$

$\frac{\delta^2 z}{\delta r\delta\theta}=-9sin\theta\frac{\delta z}{\delta x}-y\frac{\delta^2z}{\delta x^2}(9cos\theta)+9 cos\theta\frac{\delta z}{\delta y}+x\frac{\delta^2z}{\delta y^2}(9sin\theta)$

$\frac{\delta^2 z}{\delta r\delta\theta}=-9sin\theta\frac{\delta z}{\delta x}-(81rsin\theta cos\theta)\frac{\delta^2z}{dx^2}+9cos\theta\frac{\delta z}{\delta y}+(81r cos\theta sin\theta)\frac{\delta^2z}{\delta y^2}$

$\frac{\delta^2 z}{\delta r\delta\theta}=-\frac{y}{r}\frac{\delta z}{\delta x}-\frac{xy}{r}\frac{\delta^2}{\delta x^2}+\frac{x}{r}\frac{\delta z}{\delta y}+\frac{xy}{r}\frac{\delta^2z}{\delta y^2}$

3 0

3 years ago

A city council organized a marathon race to promote good health. There were 3 times as many female participants as male particip

hichkok12 [17]

Answer:

609 males

Step-by-step explanation:

A city council organized a marathon race to promote good health.

Let the number of

Females = x

Males = y

There were 3 times as many female participants as male participants in the marathon.

3x = y

If the total number of participants was 812,

x + y = 812..... Equation 1

We substitute 3x for y in Equation 1

x + 3x = 812

4x = 812

x= 812/4

x = 203 females

3x = y

Solving for y

3(203) = 609 males

The number of males participants = 609

5 0

3 years ago

Which equation is equivalent?

GarryVolchara [31]

Answer:

Step-by-step explanation:

8 0

3 years ago

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