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4 years ago

For (d), I don't think I'm supposed to use the graphical method. Is quadratic formula the only option?

Mathematics

1 answer:

Nikolay [14]4 years ago

7 0

I would use the quadratic formula, as no other method comes to mind at the moment.

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The radius of the base of a cylinder is decreasing at a rate of 121212 kilometers per second. The height of the cylinder is fixe

WARRIOR [948]

Answer:

7536 $km^3/sec$

Step-by-step explanation:

Given that:

Rate of decreasing of radius = 12 km/sec

Height of cylinder is fixed at = 2.5 km

Radius of cylinder = 40 km

To find:

The rate of change of Volume of the cylinder?

Solution:

First of all, let us have a look at the formula for volume of a cylinder.

$Volume = \pi r^2h$

Where $r$ is the radius and

$h$ is the height of cylinder.

As per question statement:

$r$ = 40 km (variable)

$h$ = 2.5 (constant)

$\dfrac{dV}{dt} = \dfrac{d}{dt}\pi r^2h$

As $\pi, h$ are constant:

$\dfrac{dV}{dt} = \pi h\dfrac{d}{dt} r^2\\\Rightarrow \dfrac{dV}{dt} = \pi h\times 2 r\dfrac{dr}{dt} \\$Putting the values:$\\\Rigghtarrow\dfrac{dV}{dt} = 3.14 \times 2.5\times 2 \times 40\times 12 \\\Rigghtarrow\dfrac{dV}{dt} = 7536\ km^3/sec$

4 0

3 years ago

A car weighs 2332 pounds. If 372 pounds of old parts are removed and replaced with 412 pounds of new parts, find new weights of

Makovka662 [10]

Answer:

2372

Step-by-step explanation:

You would do the equation 2332-372+412

5 0

3 years ago

Plz help these r the last of my points

IRINA_888 [86]

w=61, the equation is w=(456-a-b-c)/2, so the work would look like 456-132-94-108=122/2=61

3 0

3 years ago

Read 2 more answers

Which THREE pairs of measurements are possible side lengths for a 30-60-90 triangle?

9966 [12]

Answer:

1, 5 and 6.

Step-by-step explanation:

The sides of this triangles has lengths in the ratio x : √3x : 2x where 2x is the hypotenuse.

When C = 30, the side AB is the small leg (=x).

When B = 90, the hypotenuse is AC ( =2x).

When A = 60, the larger leg is BC (=√3x).

1. AB = 4, BC = 4√3 :- Are possible legs.

5 AB = 7, AC = 14. :- AB = small leg, AC = hypotenuse.

6. AB = 11, BC = 11√3:- AB = small, BC = larger leg.

4 0

3 years ago

Which statement is the correct interpretation of the inequality –5 > –6? (1 point)

lilavasa [31]

Answer: OPTION D.

Step-by-step explanation:

The symbol of the inequality ">" means "greater than". Then, -5 is greater than -6.

If a negative number -a is greater than other negative number -b , then the distance between -a and zero is shorter than the distance between -b and zero.

You can see in the number line attached that -5 is closer to 0 than -6. Therefore, -5 is located to the right of -6.

5 0

3 years ago