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3 years ago

Please help me if you can...

Mathematics

1 answer:

9966 [12]3 years ago

4 0

Answer:

Q2.the 2 angles of the isoceles trapezium are 1050 and 750,find the other 2 angles.

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Simplify the following fraction 36/54 show work and steps

stiv31 [10]

÷2 = 18/27 ÷3 = 6/9 ÷3= 2/3

6 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

How do you determine if terms are like terms? Be specific

Talja [164]

Like terms have to have the same variables and the variables have to have the same powers.

3x and 6x are like terms.
3x and 6y are not.

4y^2 and 7y^2 are like terms.
4y^3 and 7y^6 are not.

2xy and 5xy are like terms.
2xy^2 and 5x^2y are not
2xy^2 and 5xy are not.

3 0

3 years ago

Rendering math...A jug has a maximum capacity of 3 liters. It’s filled to 95% of its capacity, and then poured out at a rate of

vivado [14]

95% of 3 is 2.85 liters

1 ml = 1000 liters so divide the amount it’s emptied by 1000

40/1000 ml/s

Multiply the emptied rate by x ( number of seconds) and subtract that from starting amount:

W(x) = 2.85 - (40/1000)x

8 0

3 years ago

Solve:<br> -3(7p + 5) = 27<br> Helpppp

Marat540 [252]

Answer:

-2

Step-by-step explanation:

-21p - 15 = 27

-21p = 42

p = -2

4 0

4 years ago

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