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2 years ago

Makes no sense I wish it did

Mathematics

1 answer:

34kurt2 years ago

8 0

Answer:

<BCD=105 Degrees

Step-by-step explanation:

To solve this problem, you need to use linear pairs

Linear pairs are two angles on the same line divided by a single line between them. Linear pairs will always add up to 180 as they are supplementary.

Therefore, 180-75 will give you x, which is 105

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Water is added to a cylindrical tank of radius 5 m and height of 10 m at a rate of 100 L/min. Find the rate of change of the wat

nirvana33 [79]

Answer:

$V = \pi r^2 h$

For this case we know that $r=5m$ represent the radius, $h = 10m$ the height and the rate given is:

$\frac{dV}{dt}= \frac{100 L}{min}$

$Q = 100 \frac{L}{min} *\frac{1m^3}{1000L}= 0.1 \frac{m^3}{min}$

And replacing we got:

$\frac{dh}{dt}=\frac{0.1 m^3/min}{\pi (5m)^2}= 0.0012732 \frac{m}{min}$

And that represent $0.127 \frac{cm}{min}$

Step-by-step explanation:

For a tank similar to a cylinder the volume is given by:

$V = \pi r^2 h$

For this case we know that $r=5m$ represent the radius, $h = 10m$ the height and the rate given is:

$\frac{dV}{dt}= \frac{100 L}{min}$

For this case we want to find the rate of change of the water level when h =6m so then we can derivate the formula for the volume and we got:

$\frac{dV}{dt}= \pi r^2 \frac{dh}{dt}$

And solving for $\frac{dh}{dt}$ we got:

$\frac{dh}{dt}= \frac{\frac{dV}{dt}}{\pi r^2}$

We need to convert the rate given into m^3/min and we got:

$Q = 100 \frac{L}{min} *\frac{1m^3}{1000L}= 0.1 \frac{m^3}{min}$

And replacing we got:

$\frac{dh}{dt}=\frac{0.1 m^3/min}{\pi (5m)^2}= 0.0012732 \frac{m}{min}$

And that represent $0.127 \frac{cm}{min}$

5 0

3 years ago

Consider the points.

miskamm [114]

Answer:

6 units

Step-by-step explanation:

Use the distance formula, $\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}$ .

Plug the x and y values from the given points into the distance formula:

$\sqrt{([-4]-2)^{2}+(5-5)^{2}}$ .

Solve the square root:

$\sqrt{36}$ = $\sqrt{6^{2}}$ = $6$

3 0

2 years ago

The ratio of the angles in a triangle is 3:10:7. what is the measure of the smallest angle?

STALIN [3.7K]

So add all of them and then see smallest one sorry if I'm wrong

3 0

3 years ago

Can anyone help me factor polynomials

Anarel [89]

C) x+3
first one factors to (x+3)(x-3)
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2 years ago

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Ostrovityanka [42]

Answer:

6π

Step-by-step explanation:

The period indicates after which time the sine wave repeats.

You divide 2π by the factor in front of your function variable. This is 1/3 for your function.

So 2π/(1/3) = 6π

4 0

3 years ago