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3 years ago

HELPPPPPPPP!!!!!!!!!! Angles 1 and 2 are complementary. If ∠1 measure 29.6°, then what is the measure of ∠2?

Mathematics

2 answers:

Leni [432]3 years ago

8 0

Answer:

29.6*

Step-by-step explanation:

complementary angels are on the same side of the transversal, one is exterior and one is interior, and its always the same angel.

erma4kov [3.2K]3 years ago

8 0

Answer:

60.4

Step-by-step explanation:

complementary angles are 2 angles that add up to the sum of 90 degrees

90-29.6=60.4

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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,

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Where,

r = radius,

h = height,

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

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

$18 = r^2 + 3r$

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

By zero product property,

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Thus, radius, r = 3 meters,

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

∵ h = constant, ⇒ dh/dt = 0,

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

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

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

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

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

Now,

Volume of a cylinder,

$V=\pi r^2 h$

Differentiating w. r. t. t,

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