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2 years ago

2 sin^2(x) + 3sin(x) + 1 - 0 in radians

Mathematics

1 answer:

alexira [117]2 years ago

7 0

This was a quadratic formula
sin is the y value
here is me solving it

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The radius of a sphere is increasing at a rate of 2 mm/s. How fast is the volume increasing when the diameter is 100 mm?

Advocard [28]

Answer:

Volume increasing rate = $62831.85 mm^3/s$

Explanation:

We rate of change of radius of sphere, $\frac{dr}{dt} =2mm/s$

Diameter of sphere = 100 mm

Radius of sphere = 50 mm

Volume of sphere, V = $\frac{4}{3} \pi r^3$

Rate of change of volume = $\frac{dV}{dt}$

$\frac{dV}{dt}=\frac{d}{dt} (\frac{4}{3} \pi r^3)=\frac{4}{3} \pi\frac{d}{dt}(r^3)=\frac{4}{3} \pi*3r^2*\frac{dr}{dt}$

Substituting known values

$\frac{dV}{dt}= \frac{4}{3}* \pi*3*50^2*2=62831.85 mm^3/s$

Volume increasing rate = $62831.85 mm^3/s$

8 0

2 years ago

How many millilitres of coconut milk will be required to make this recipe for seven people?

timofeeve [1]

Answer:

Step-by-step explanation:

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Dudyr

Wybk D

4 0

3 years ago

Find the value of angle marked x

lyudmila [28]

Based on the given diagram we see that all the exterior angle is in a straight line with the interior angle.

Using the known angle measure, we know that the shape has angles of measure, 123 degrees, 94 degrees, 79 degrees, and '180 - x' degrees

Also, the sum of all the angles in a quadrilateral, any four-sided shape, is 360 degrees.

Now using the knowledge gained lets set up the equation

$123 + 94 + 79 + 180 - x = 360\\476 - x = 360\\-x = -116\\x = 116$

Therefore x is 116 degrees.

Hope that helps!

3 0

1 year ago

PLEASE HELP!!!! The problem is in the photo below.

Sergio039 [100]

Answer:

A is correct.

Step-by-step explanation:

Here, the x would represent the gallons per minute. The minutes are unknown, so it's just a variable. It can't be B either, because the addition sign would mean that the pool is being filled instead of drained.

8 0

2 years ago

Please show work for both problems

pentagon [3]

Answer:

1) x = 25 2) x = 23; m∠CBD = 80 degrees

Step-by-step explanation:

1) 5x + 15 = 6x - 10 Set both equations equal to each other

- 5x - 5x Subtract 5x from both sides

15 = x - 10

+ 10 + 10 Add 10 to both sides

25 = x

2) 2x + 14 + x + 7 = 90 Set the equations equal to 90

3x + 21 = 90 Combine like terms

- 21 - 21 Subtract 21 on both sides

3x = 69 Divide both sides by 3

x = 23

Plug 23 into the equation

2(23) + 14 = 60

5 0

3 years ago