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3 years ago

Find the exact value of tan(sin^-1((-12/13))

Mathematics

1 answer:

lidiya [134]3 years ago

8 0

Answer:

Step-by-step explanation:

Given the trigonometry expression:

tan(sin^-1((-12/13))

We are to find the exact value

tan(sin^-1((-12/13)) = tan(sin^-1((-0.9231))

tan(sin^-1((-12/13)) = tan(-67.38)

Also note that tan(-theta) = -tan theta

tan(-theta) = -tan67.38

tan(-67.38) = -2.399

<em>The exact value is 2.399</em>

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PLEASE HELP!! 12 POINTS!!

pochemuha

B. False

It should be -3/2x+3

5 0

3 years ago

Read 2 more answers

The radius of a right circular cone is increasing at a rate of 1.1 in/s while its height is decreasing at a rate of 2.6 in/s. At

o-na [289]

Answer:

The volume of the cone is increasing at a rate of 1926 cubic inches per second.

Step-by-step explanation:

Volume of a right circular cone:

The volume of a right circular cone, with radius r and height h, is given by the following formula:

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

Implicit derivation:

To solve this question, we have to apply implicit derivation, derivating the variables V, r and h with regard to t. So

$\frac{dV}{dt} = \frac{1}{3}\left(2rh\frac{dr}{dt} + r^2\frac{dh}{dt}\right)$

Radius is 107 in. and the height is 151 in.

This means that $r = 107, h = 151$

The radius of a right circular cone is increasing at a rate of 1.1 in/s while its height is decreasing at a rate of 2.6 in/s.

This means that $\frac{dr}{dt} = 1.1, \frac{dh}{dt} = -2.6$

At what rate is the volume of the cone changing when the radius is 107 in. and the height is 151 in.

This is $\frac{dV}{dt}$ . So

$\frac{dV}{dt} = \frac{1}{3}\left(2rh\frac{dr}{dt} + r^2\frac{dh}{dt}\right)$

$\frac{dV}{dt} = \frac{1}{3}(2(107)(151)(1.1) + (107)^2(-2.6))$

$\frac{dV}{dt} = \frac{2(107)(151)(1.1) - (107)^2(2.6)}{3}$

$\frac{dV}{dt} = 1926$

Positive, so increasing.

The volume of the cone is increasing at a rate of 1926 cubic inches per second.

8 0

3 years ago

Hey I need some help :)

Gre4nikov [31]

Answer:

Net change means the differnce between the before result and the after result. You would subtract the numbers, but if you have a gain(the before result smaller than after result) you would do its absolute value. If it's a loss(the before result bigger than after result) you would put a negative behind its absolute value.

e.g. if 2019 had $1 net worth and 2020 had $2 net worth, since 2>1 it would be |2-1| = 1. If 2019 had $2 net worth and 2020 had $1 net worth, since 1<2 there would be a - |2-1| = -1 net change.

However, if there is no change it would be just 0.

6 0

3 years ago

the gravitational attraction between two masses varies inversely as the square of the distance between them. if the attraction f

Marat540 [252]

Answer:

33 1/3 lb

Step-by-step explanation:

When the distance between them goes from 8 ft to 12 ft, it is 1.5 times what it was. Then the force will be multiplied by the inverse of the square of this:

(75 lb)×1/(1.5²) = 75/2.25 lb = 33 1/3 lb

At 12 feet apart, the attraction force is 33 1/3 pounds.

8 0

4 years ago

Simplify the expression-9(-8p+12)-6p

lana [24]

Answer:

219.345115

Step-by-step explanation:

-9(-8p+12)-6p

= 219.345115

6 0

4 years ago