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3 years ago

9 batteries cost 18 dollars what's the rate and unit rate

Mathematics

1 answer:

Vanyuwa [196]3 years ago

8 0

Answer to your question is 2

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What is 1,289,845 rounded to the nearest ten thousand?

myrzilka [38]

1,290,845

hope this helps if not just let me know

6 0

3 years ago

What is the rational number between 1/16 and 1/12?

In-s [12.5K]

1/2 (1/16 + 1/12)
1/2 ((3 + 4 )/48)
1/2 × 7/48
= 7/96

7 0

3 years ago

A rectangular area is to be enclosed by a wall on one side and fencing on the other three sides. If 18 meters of fencing are use

Rashid [163]

Answer:

$A = L W= 9*\frac{9}{2}=\frac{81}{2} m^2$

Step-by-step explanation:

For this case we assume that the total perimeter is 18 ft, we have a wall and the two sides perpendicular to the wall measure x units each one so then the side above measure P-2x= 18-2x.

And we are interested about the maximum area.

For this case since we have a recatangular area we know that the area is given by:

$A= LW$

Where L is the length and W the width, if we replace from the values on the figure we got:

$A(x)= x *(18-2x) = 18x -2x^2$

And as we can see we have a quadratic function for the area, in order to maximize this function we can use derivates.

If we find the first derivate respect to x we got:

$\frac{dA}{dx} = 18-4x=0$

We set this equal to 0 in order to find the critical points and for this case we got:

$18-4x=0$

And if we solve for x we got:

$x=\frac{18}{4}=\frac{9}{2} m$

We can calculate the second derivate for A(x) and we got:

$\frac{d^2 A}{dx^2}= -4$

And since the second derivate is negative then the value for x would represent a maximum.

Then since we have the value for x we can solve for the other side like this:

$L= 18-2x = 18-2 \frac{9}{2}= 18-9 =9m$

And then since we have the two values we can find the maximum area like this:

$A = L W= 9*\frac{9}{2}=\frac{81}{2} m^2$

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3 years ago

What are the new coordinates of (6,-2) with the dilation scale factor of 1/2.

In-s [12.5K]

Answer:

(3, - 1 )

Step-by-step explanation:

Assuming the dilatation is centred at the origin then multiply each coordinate by $\frac{1}{2}$

(6, - 2 ) → (6 × $\frac{1}{2}$ , - 2 × $\frac{1}{2}$ ) → (3, - 1 )

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3 years ago

The incenter of a triangle ________ falls outside of its triangle. A.always B.sometimes C.never

Tju [1.3M]

A.always hope this helps

3 0

3 years ago