a dust is 1.5 ft wide and 5 feet long it is 3 feet above the floor what is the volume of the space under the desk

Mathematics

1 answer:

Studentka2010 [4]3 years ago

4 0

The answer is 22.5 because 1.5×5×3=22.5

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which functions have a range of all real numbers ? check all that apply. A. y=csc x B. y=sec x C. y=tan x D. y= cot x

Natalka [10]

None of these. All of these functions are defined as ratio of trigonometric functions.

Trigonometric functions have infinite zeroes, so when you put them in the denominator, they lead to infinitely many points of ill-definition.

Specifically, we have:

$\csc(x) = \dfrac{1}{\sin(x)}$

which is undefined at

$\sin(x)=0\iff x=k\pi, k\in\mathbb{Z}$

$\sec(x) = \dfrac{1}{\cos(x)}$

which is undefined at

$\cos(x)=0\iff x=\dfrac{\pi}{2}+k\pi, k\in\mathbb{Z}$

$\tan(x) = \dfrac{\sin(x)}{\cos(x)}$

which is undefined at

$\cos(x)=0\iff x=\dfrac{\pi}{2}+k\pi, k\in\mathbb{Z}$

$\cot(x) = \dfrac{\cos(x)}{\sin(x)}$

which is undefined at

$\sin(x)=0\iff x=k\pi, k\in\mathbb{Z}$

4 0

3 years ago

Which equation is correct

BARSIC [14]

The last one, v = -2,000y + 20,000

3 0

3 years ago

Read 2 more answers

The hypotenuse of a 90-45-45 triangle is 20√2. What is the short leg and the long leg>

stepan [7]

Answer:

Both legs would be 20

Step-by-step explanation:
In the image below, it shows the relationship between the legs and the hypotenuse in every 45 45 90 triangle. If we know that the hypotenuse is 20, then the 2 legs are both 20.

I am slightly confused with the problem since they asked for the "short" leg and the "long" leg. Both legs should be the same length because a 45 45 90 triangle is isosceles, with the two legs being the same length.