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2 years ago

Tell weather the angles are complementary or supplementary. The. Find the value of x. WITH EXPLANATION

Mathematics

1 answer:

umka2103 [35]2 years ago

3 0

They are complementary angles because they add up to 90 degrees.

X=10
Explanation: 6x10+1=61. 61+29=90

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Plz help ASAP thanks

m_a_m_a [10]

Answer:

No because the line does not pass through the origin

Step-by-step explanation:

to be proportional it has to go through the origin

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3 years ago

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GCF of 9x^2y^2 and 5x^2y^3

8090 [49]

Answer:

x^2y^2.

Step-by-step explanation:

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2 years ago

The radius of a cone is decreasing at a constant rate of 7 inches per second, and the volume is decreasing at a rate of 948 cubi

inessss [21]

Answer:

The height of cone is decreasing at a rate of 0.085131 inch per second.

Step-by-step explanation:

We are given the following information in the question:

The radius of a cone is decreasing at a constant rate.

$\displaystyle\frac{dr}{dt} = -7\text{ inch per second}$

The volume is decreasing at a constant rate.

$\displaystyle\frac{dV}{dt} = -948\text{ cubic inch per second}$

Instant radius = 99 inch

Instant Volume = 525 cubic inches

We have to find the rate of change of height with respect to time.

Volume of cone =

$V = \displaystyle\frac{1}{3}\pi r^2 h$

Instant volume =

$525 = \displaystyle\frac{1}{3}\pi r^2h = \frac{1}{3}\pi (99)^2h\\\\\text{Instant heigth} = h = \frac{525\times 3}{\pi(99)^2}$

Differentiating with respect to t,

$\displaystyle\frac{dV}{dt} = \frac{1}{3}\pi \bigg(2r\frac{dr}{dt}h + r^2\frac{dh}{dt}\bigg)$

Putting all the values, we get,

$\displaystyle\frac{dV}{dt} = \frac{1}{3}\pi \bigg(2r\frac{dr}{dt}h + r^2\frac{dh}{dt}\bigg)\\\\-948 = \frac{1}{3}\pi\bigg(2(99)(-7)(\frac{525\times 3}{\pi(99)^2}) + (99)(99)\frac{dh}{dt}\bigg)\\\\\frac{-948\times 3}{\pi} + \frac{2\times 7\times 525\times 3}{99\times \pi} = (99)^2\frac{dh}{dt}\\\\\frac{1}{(99)^2}\bigg(\frac{-948\times 3}{\pi} + \frac{2\times 7\times 525\times 3}{99\times \pi}\bigg) = \frac{dh}{dt}\\\\\frac{dh}{dt} = -0.085131$

Thus, the height of cone is decreasing at a rate of 0.085131 inch per second.

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2 years ago

Please help!!!!!!!!!!!!!!

Vlad1618 [11]

What do you need specifically just that one question

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2 years ago

Tax returns filled manually have a 20% chance of containing errors while tax returns filled electronically have a .05% chance of

Travka [436]

Answer:

538,650

Step-by-step explanation:

We must first find how many errors there will be if filed manually and if filed electronically

Manually: 2,700,000*20% or 2,700,000*.2

Answer: 540,000 errors

Electronically: 2,700,000*.05% or 2,700,000*.0005

Answer: 1,350 errors

We must then find the difference; 540,000-1,350=538,650

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2 years ago

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