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2 years ago

Help me out guys!!!!!!!

Mathematics

1 answer:

Dmitrij [34]2 years ago

3 0

Answer:

$\frac{5 \sqrt{11} }{11}$

you are correct !!

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If a snowball melts so that its surface area decreases at a rate of 3 cm2/min, find the rate (in cm/min) at which the diameter d

grin007 [14]

Answer:

The diameter decreases at a rate of 0.053 cm/min.

Step-by-step explanation:

Surface area of an snowball

The surface area of an snowball has the following equation:

$S_{a} = \pi d^2$

In which d is the diameter.

Implicit differentiation:

To solve this question, we differentiate the equation for the surface area implictly, in function of t. So

$\frac{dS_{a}}{dt} = 2d\pi\frac{dd}{dt}$

Surface area decreases at a rate of 3 cm2/min

This means that $\frac{dS_{a}}{dt} = -3$

Tind the rate (in cm/min) at which the diameter decreases when the diameter is 9 cm.

This is $\frac{dd}{dt}$ when $d = 9$ . So

$\frac{dS_{a}}{dt} = 2d\pi\frac{dd}{dt}$

$-3 = 2*9\pi\frac{dd}{dt}$

$\frac{dd}{dt} = -\frac{3}{18\pi}$

$\frac{dd}{dt} = -0.053$

The diameter decreases at a rate of 0.053 cm/min.

7 0

3 years ago

What is the value of J

vladimir1956 [14]

Answer:

Step-by-step explanation:

Since all 3 of these angle come off a straight line, they all add up to equal 180. Thus,

2j + 32 + 6j - 2 + 30 = 180 and

8j + 60 = 180 and

8j = 120 so

j = 15

6 0

3 years ago

Given that 5 miles is 8 km, convert 32.7 km to miles. help im stuck

Dafna11 [192]

Answer:

20.4375 miles

Step-by-step explanation:

5 miles / 8 km * 32.7 km = 20.4375 miles

( see how the units 'km' cancel out and you are left with 'miles' as your answer?)

8 0

2 years ago

HELP! NOW! Prove the trig identity: 3sinx/1-cosx=3cscx+3cotx

vichka [17]

Step-by-step explanation:

Given

To Prove

$\dfrac{3\sin x}{1-\cos x}=3\csc x+3\cot x$

Take the Left side of equation and rationalize

$\Rightarrow \dfrac{3\sin x}{1-\cos x}\times \dfrac{1+\cos x}{1+\cos x}\\\\\Rightarrow \dfrac{3\sin (1+\cos x)}{1-\cos^2 x}\\\\\Rightarrow \dfrac{3\sin (1+\cos x)}{\sin^2 x}\\\\\Rightarrow \dfrac{3\sin x}{\sin ^2x}+\dfrac{3\sin x\cos x}{\sin^2 x}\\\\\Rightarrow \dfrac{3}{\sin x}+\dfrac{3\cos x}{\sin x}\\\\\Rightarrow 3\csc x+3\cot x$

Left side is equal to right side

Hence, proved

5 0

3 years ago

3 + x = 4 is the same as 4 = 3 + x. This is an example of which algebraic property?

kozerog [31]

Answer:

commutative property

Step-by-step explanation:

3+x=4 can be also written as 4=3+x

6 0

3 years ago

Read 2 more answers

Help me out guys!!!!!!!​

Help me out guys!!!!!!!