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4 years ago

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Which expression represents "10 subtracted from the quotient of 3 and a number"? a. 3n-10 b. 3/n - 10 (the / is a fraction bar)

c. 10 - 3n d. 10 - 3/n (the / is a fraction bar)

1 answer:

kiruha [24]4 years ago

4 0

B. because it is 10 being subtracted from the fraction.

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What is the solution of this equation? 3a = 18

Triss [41]

3a =18

3a/3 = 18/3

a = 18/3

a = 6

Hope this helps

6 0

4 years ago

Read 2 more answers

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

Volume=<br> A) 91 2/3 pie cubic units <br> B) 275 pie cubic units <br> C) 36 2/3 pie cubic units

MrMuchimi

the volume is 1/3 * height *area of the base (the circle) in cubic units

the area of the circle is pi*r²

wich gives us

1/3 * 11 * pi * 5²

rearrange

= 5² * 11 * 1/3 * pi

= 25*11*1/3*pi

= 275*1/3*pi

= 275/3 *pi

= (91 2/3)*pi

in cubic units

so your answer is the first option

6 0

3 years ago

I need help I keep getting it wrong lol

lutik1710 [3]

Answer:

40 percent

Step-by-step explanation:

5 0

3 years ago

When given all three side lengths of a triangle but none of the angle measures, you can solve for all angle measures using _____

sergey [27]

<h3>Answer;</h3>

C. The alternative form of the law of cosines

When given all three side lengths of a triangle but none of the angle measures, you can solve for all angle measures using<u> the alternative form of the law of cosines</u>.

<h3>Explanation;</h3>

From the law of cosines, given that a, b and c are the edges of a triangle and A, B and C are the corresponding interior angles of the the triangle.

<h3>Then; a² = b² + c² − 2 bc cos A, or</h3><h3> b² = a² + c² − 2 bc cos B, or</h3><h3> c² = a² +b ² − 2 bc cos C</h3>

Therefore; when given all the sides or edges of the triangle;

we can use the law of cosines to find one angle, then
we use the law of cosines again to find the second angle, and finally,
we use the point that angles in a triangle add up to 180 to get the third angle;

<h3 />

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4 years ago