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3 years ago

In the figure below, BD and EC are diameters of circle P.

Mathematics

1 answer:

Zinaida [17]3 years ago

8 0

Answer: 333 degrees

Step-by-step explanation:

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If a = 5, b = 5 and c = 10, what is the value of ac / 2b ?

Sophie [7]

Answer:

The answer is 5 .

Step-by-step explanation:

You have to substitute the values of a, b and c into the expression :

$\frac{ac}{2b}$

Let a = 5,

Let b = 5,

Let c = 10,

$\frac{5 \times 10}{2 \times 5}$

$= \frac{50}{10}$

$= 5$

3 0

3 years ago

5<br> 3<br> 2<br> The total area of the rectangular prism shown is

marishachu [46]

Answer:

Step-by-step explanation:

You multipy 5 by 3 by 2

8 0

3 years ago

The surface area of a cylinder is increasing at a rate of 9 pi square meters per hour. The height of the cylinder is fixed at 3

Alekssandra [29.7K]

Answer:

$9\pi \text{ cubic meters per hour}$

Step-by-step explanation:

Since, the surface area of a cylinder,

$A= 2\pi r^2 + 2\pi rh$ ................(1)

Where,

r = radius,

h = height,

If $A= 36\pi\text{ square meters}, h = 3\text{ meters}$

$36\pi = 2\pi r^2 + 2\pi r(3)$

$18 = r^2 + 3r$

$\implies r^2 + 3r - 18=0$

$r^2 + 6r - 3r - 18 = 0$ ( by middle term splitting )

$r(r+6)-3(r+6)=0$

$(r-3)(r+6)=0$

By zero product property,

r = 3 or r = - 6 ( not possible )

Thus, radius, r = 3 meters,

Now, differentiating equation (1) with respect to t ( time ),

$\frac{dA}{dt}= 4\pi r\frac{dr}{dt} +2\pi(r\frac{dh}{dt} + h\frac{dr}{dt})$

∵ h = constant, ⇒ dh/dt = 0,

$\frac{dA}{dt} = 4\pi r \frac{dr}{dt} +2\pi h \frac{dr}{dt}$

We have, $\frac{dA}{dt}=9\pi\text{ square meters per hour}, r = h = 3\text{ meters}$

$9\pi = 4\pi (3) \frac{dr}{dt}+2\pi (3)\frac{dr}{dt}$

$9\pi = (12\pi + 6\pi )\frac{dr}{dt}$

$9\pi = 18\pi \frac{dr}{dt}$

$\implies \frac{dr}{dt} =\frac{1}{2}\text{ meter per hour}$

Now,

Volume of a cylinder,

$V=\pi r^2 h$

Differentiating w. r. t. t,

$\frac{dV}{dt}=\pi ( r^2 \frac{dh}{dt}+h(2r)\frac{dr}{dt})=\pi ((3)(6) (\frac{1}{2})) = 9\pi \text{ cubic meters per hour}$

6 0

3 years ago

please help!!!!! what will be the balance in an account that was initially $400 and has been drawing 5.5% interest compounded co

Viktor [21]

Answer:

$621.08

Step-by-step explanation:

The formula for the amount (A) resulting from principal P being invested at rate r continuously compounded for period t is ...

A = Pe^(rt)

Filling in the given numbers and doing the arithmetic, we get ...

A = $400e^(0.055·8) ≈ $621.08

4 0

3 years ago

Two stores have competing back-to-school sale. Which store offers the better price per T-shirt? What is the price? Explain.

kiruha [24]

The store that is larger sells shirts at a better price because they have greater supply in comparison to the demand of shirts. The price is $2.99 because the larger store offers a discount of 10%.

5 0

2 years ago