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Inessa [10]
3 years ago
12

What a thisssssss please help me out

Mathematics
2 answers:
Delvig [45]3 years ago
7 0

Answer:

1

Step-by-step explanation:

15 - 2 = 13

14 - 1 = 13

sveticcg [70]3 years ago
3 0

Answer:

1

Step-by-step explanation:

15-2=13

14-1=13

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A 30°- 60°- 90° triangle is shown below. Find the length of a and b. * leave the answer in simplified radical form*
Amanda [17]

Step-by-step explanation:

a = 12√3

b = 24

hope this helps

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Step-by-step explanation:

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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,

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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}

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3 years ago
Someone help me I will give a brainlist to whoever explains how to figure out the answer
ziro4ka [17]

Answer: see work

Step-by-step explanation:

Total area is 24x22=528

one circle area is (pi)3^2=9(pi)

that times 4 because of 4 circles =36(pi)

so the total are minus the circles now

in terms of pi the answer is 528-36(pi)

if pi = 3.14 the answer in 414.96

3 0
3 years ago
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