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3 years ago

What is equivalent to 5.745

1 answer:

7 0

We can put it in a fraction. The last number behind the decimal it in the thousandths place so put 5745 over 1000. ANSWER: 5745/1000. Now it simplifies to 1149/200 but can be put into mixes number form and it will be. 5 and 149/200

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A fruit bowl is shaped like half of a sphere. The radius of the bowl is 15cm. what is the volume of the bowl

Naya [18.7K]

Answer: 7065 cm

Step-by-step explanation:

Find the volume as the bowl was a whole sphere and then divide the volume found by two, to get the volume of half the sphere.

(4/3) * π*(r^3) ≈ 14130 cm

14130/2 ≈ 7065 cm

This is an approximated result using π = 3.14

3 0

4 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:

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

8 0

3 years ago

How many 2- tablespoons doses are in 4 bottles of medications containing 16 oz each

balandron [24]

Do you really need an answer 1 hour later<span />

8 0

4 years ago

Kaya babysits to add money to her savings. She draws a graph to show how much she can earn by babysitting. What is the equation

salantis [7]

Answer:

Step-by-step explanation:

7 0

3 years ago

Sara earned $7.25 per hour plus an additional $105 in tips waiting tables last week. She earned at least $329.75. If h

jonny [76]

Answer:

The minimum number of hours that Sara could have worked is 31 hours .

The inequality representation of possible value of h is 105 + 7.25 h $\geq$ 329.75

Step-by-step explanation:

Given as :

The earning of Sara in per hour amount = $7.25 per hour

The additional earning of Sara as tips = $105

The Total earning of Sara = $329.75

Let The minimum number of hours that Sara could have worked = h hours

<u>Now, According to question</u>

The Total earning of Sara = The earning of Sara in per hour amount × minimum working hours + The additional earning of Sara as tips

I.e $329.75 = $7.25 per hour × h + $105

Or, $105 + $7.25 per hour × h = $329.75

Or, $7.25 per hour × h = $329.75 - $105

Or, 7.25 per hour × h = 224.75

∴ h = $\dfrac{224.75}{7.25}$

I,e h = 31 hours

So, The number of hours Sara worked = h = 31 hours . Answer

Hence, The minimum number of hours that Sara could have worked is 31 hours .

The inequality representation of possible value of h is 105 + 7.25 h $\geq$ $329.75

Answer

4 0

4 years ago