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2 years ago

O:250 degrees A In this figure, mzBDA = • and m2BCA = Please

Mathematics

1 answer:

Alborosie2 years ago

4 0

Answer:

∠ BDA = 55° , ∠ BCA = 70°

Step-by-step explanation:

∠ BOA = 360° - 250° = 110° ( angles round a point )

The central angle is twice the angle on the circle, subtended on the same arc

∠ BDA = $\frac{1}{2}$ ∠ BOA = $\frac{1}{2}$ × 110° = 55°

OBCA is a tangent kite

Opposite angles sum to 180° , then

∠ BCA = 180° - ∠ BOA = 180° - 110° = 70°

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the volume v of a right circular cylinder of radius r and heigh h is V = pi r^2 h 1. how is dV/dt related to dr/dt if h is const

laiz [17]

In general, the volume

$V=\pi r^2h$

has total derivative

$\dfrac{\mathrm dV}{\mathrm dt}=\pi\left(2rh\dfrac{\mathrm dr}{\mathrm dt}+r^2\dfrac{\mathrm dh}{\mathrm dt}\right)$

If the cylinder's height is kept constant, then $\dfrac{\mathrm dh}{\mathrm dt}=0$ and we have

$\dfrac{\mathrm dV}{\mathrm dt}=2\pi rh\dfrac{\mathrm dt}{\mathrm dt}$

which is to say, $\dfrac{\mathrm dV}{\mathrm dt}$ and $\dfrac{\mathrm dr}{\mathrm dt}$ are directly proportional by a factor equivalent to the lateral surface area of the cylinder ( $2\pi r h$ ).

Meanwhile, if the cylinder's radius is kept fixed, then

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

since $\dfrac{\mathrm dr}{\mathrm dt}=0$ . In other words, $\dfrac{\mathrm dV}{\mathrm dt}$ and $\dfrac{\mathrm dh}{\mathrm dt}$ are directly proportional by a factor of the surface area of the cylinder's circular face ( $\pi r^2$ ).

Finally, the general case ( $r$ and $h$ not constant), you can see from the total derivative that $\dfrac{\mathrm dV}{\mathrm dt}$ is affected by both $\dfrac{\mathrm dh}{\mathrm dt}$ and $\dfrac{\mathrm dr}{\mathrm dt}$ in combination.

8 0

2 years ago

Select all the expressions that are equivalent to -72/12

kondor19780726 [428]

Answer:

The correct answers are B and C

3 0

2 years ago

Read 2 more answers

I need help im stuck

Katyanochek1 [597]

Answer:

4712.4

Step-by-step explanation:

I got the same question a few days ago.

The volume is πr^2 * h / 3

r = 15

h = 20

225π * 20 / 3

1500π

It's 4712.38898

Round to 4712.4

6 0

2 years ago

The equation for the circle below is x2 + y2 = 100. what is the length of the circle's radius?

stealth61 [152]

X²+y² =(Radius)²

x²+y² =10². So the radius is 10

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2 years ago

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As a butcher, you sell beef in 3.5-pound packages. You anticipate needing 25 packages for the next two days. The

bekas [8.4K]

Answer:

O weight in kilograms = 25 x 3.5 ÷ 2.2

Step-by-step explanation:

As a butcher, you sell beef in 3.5-pound packages. You anticipate needing 25 packages for the next two days.

Therefore, the total number of pounds for the 25 packages =

3.5 pound packages × 25

= 87.5 pounds

We are told that : The wholesaler from whom you purchase large pieces of meat measures the weight of the beef in kilograms.

Note that:

2.2 pounds = 1 kg

Hence:

87.5 pounds =

= 87.5÷ 2.2

= 39.772727273 kg

He needs to buy 39.772727273kg from the wholesaler

The equation can you use to determine the weight of the beef, in kilograms, that you need to purchase from the wholesaler is:

O weight in kilograms = (25 x 3.5) ÷ 2.2

7 0

2 years ago