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3 years ago

The vertices of a triangle are

Mathematics

1 answer:

Katen [24]3 years ago

8 0

Answer: (4,-5)

Step-by-step explanation:

The rule for a rotation by 180°

180°

about the origin is (x,y)→(−x,−y)

A (-4,5) (4,-5)

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1. Sand falling from a chute forms a conical pile whose altitude is always equal to 4/3 the radius of the base. (a) How fast is

solong [7]

Answer:

The volume is increasing at a rate of 16286 in³/min.

Step-by-step explanation:

a) The volume of a cone is given by:

$V = \frac{1}{3}h\pi r^{2}$

Where:

r: is the radius

h: is the height

The rate of change of the volume can be calculated by using the chain rule:

$\frac{dV}{dt} = \frac{\pi}{3}[\frac{dh}{dt}r^{2} + h\frac{d(r^{2})}{dt}]$

Since h = 4/3 r we have:

$\frac{dV}{dt} = \frac{\pi}{3}[\frac{d(\frac{4r}{3})}{dt}r^{2} + \frac{4r}{3}\frac{d(r^{2})}{dt}]$

$\frac{dV}{dt} = \frac{4\pi}{9}[\frac{dr}{dt}r^{2} + r\frac{d(r^{2})}{dt}]$

$\frac{dV}{dt} = \frac{4\pi}{9}[\frac{dr}{dt}r^{2} + 2r^{2}\frac{dr}{dt}]$ (1)

With:

$\frac{dr}{dt}$ = 3 in/min

$r = 3 ft*\frac{12 in}{1 ft} = 36 in$

And by entering the above values into equation (1) we have:

$\frac{dV}{dt} = \frac{4\pi}{9}[(3 in/min)*(36 in)^{2} + 2*(36 in)^{2}*3 in/min]$

$\frac{dV}{dt} = 16286 in^{3}/min$

Therefore, the volume is increasing at a rate of 16286 in³/min.

I hope it helps you!

3 0

3 years ago

What is 2/3 simplified and divided please show steps

AleksAgata [21]

Answer:

2/3 can't be divided because it's in its lowest form so you can reduce it

7 0

3 years ago

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A company has 3,330 meters of canvas to make tents. If

faltersainse [42]

Answer:

740

Step-by-step explanation:

If t represents the number of tents made, then 4.5t represents the amount of canvas needed. We have ...

4.5t = 3330

t = 3330/4.5 = 740

740 tents could be made.

7 0

3 years ago

What is 22% of 50? ОА. ОВ. 28 Ос. 22 OD. 11

natima [27]

Answer:

Step-by-step explanation:

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3 years ago

Just do a c e g and i

marta [7]

Answer:

A, 1.57

C.0.971

E.88.3

G.3.28

I.72.9

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3 years ago

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