3 years ago

Its a fraction division problem its 10over 8 divided by 1 over 6

1 answer:

5 0

In 10/8 divided by 1/6, you have to do the reciprocal of 1/6 and the dividing symbol... so now it should look like 10/8 times 6/1 . Then you just multiply! <span />

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Triangle ABC is equilateral. Find the value of x.

AfilCa [17]

Worked solution on photo

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3 years ago

What is the distance between the points (5, 13) and (-8, -9) on a coordinate plane rounded to the nearest tenth unit?

insens350 [35]

Answer:

25.6

Step-by-step explanation:

Use the distance formula.

$d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}\\d = \sqrt{(-8 - 5)^2 + (-9-13)^2}\\d = \sqrt{(-13)^2 + (-22)^2}\\d = \sqrt{169 + 484}\\d = \sqrt{653}$

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3 years ago

If a snowball melts so that its surface area decreases at a rate of 9 cm2/min, find the rate (in cm/min) at which the diameter d

zhuklara [117]

Answer:

The diameter decreases at a rate of 0.143cm/min when it is of 10 cm.

Step-by-step explanation:

Surface area of an snowball:

An snowball has spherical format. The surface area of an sphere is given by:

$S = d^2\pi$

In which d is the diameter of the sphere.

In this question:

We need to differentiate S implicitly in function of time. So

$\frac{dS}{dt} = 2d\pi\frac{dd}{dt}$

Surface area decreases at a rate of 9 cm2/min

This means that $\frac{dS}{dt} = -9$

At which the diameter decreases when the diameter is 10 cm?

This is $\frac{dd}{dt}$ when $d = 10$ . So

$\frac{dS}{dt} = 2d\pi\frac{dd}{dt}$

$-9 = 2(10)\pi\frac{dd}{dt}$

$\frac{dd}{dt} = -\frac{9}{20\pi}$

$\frac{dd}{dt} = -0.143$

Area in cm², so diameter in cm.

The diameter decreases at a rate of 0.143cm/min when it is of 10 cm.

8 0

3 years ago

Free points, One last question, 3k+16=8+5k

Tema [17]

Answer:

k = 4

Step-by-step explanation:

Hello!

3k + 16 = 8 + 5k

Subtract 3k from both sides

16 = 8 + 2k

Subtract 8 from both sides

8 = 2k

Divide both sides by 2

4 = k

The answer is 4

Hope this Helps!

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