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3 years ago

What conversion factor should be used to convert from gigaliters to liters?

Mathematics

1 answer:

GarryVolchara [31]3 years ago

5 0

The correct answer is 10^9 happy to help!

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Determine the exact values of all three trigonometric functions of the angle 4.25pi

Margarita [4]

Answer:

Sin (4.25π)= 0.7071

Cos(4.25π)= 0.7071

Tan(4.25π)= 1

Step-by-step explanation:

$\pi=180º (half circumference)\\ 2\pi= 360º (complete circumference)\\ 4\pi= 720º (2 complete cincumference\\ 4.25\pi= 720º + 45º (2 complete circumference + 45º)$

Sin, Cos and Tan of 45º angle is the same with 1,2 or more circumferences.

So the result is the same for 45º angle.

So:

$Sin (45º) = \frac{\sqrt{2} }{2}\\Cos (45º) = \frac{\sqrt{2} }{2}\\ Tan(45º) = 1$

3 0

3 years ago

Y=arccos(1/x) Please help me do them all! I don’t know derivatives :(

Stells [14]

Answer:

$f(x) = {sec}^{ - 1} x \\ let \: y = {sec}^{ - 1} x \rightarrow \: x = sec \: y\\ \frac{dx}{dx} = \frac{d(sec \: y)}{dx} \\ 1 = \frac{d(sec \: y)}{dx} \times \frac{dy}{dy} \\ 1 = \frac{d(sec \: y)}{dy} \times \frac{dy}{dx} \\1 = tan \: y.sec \: y. \frac{dy}{dx} \\ \frac{dy}{dx} = \frac{1}{tan \: y.sec \: y} \\ \frac{dy}{dx} = \frac{1}{ \sqrt{( {sec}^{2} \: y - 1}) .sec \: y} \\ \frac{dy}{dx} = \frac{1}{ |x | \sqrt{ {x }^{2} - 1} } \\ \therefore \frac{d( {sec}^{ - 1}x) }{dx} = \frac{1}{ |x | \sqrt{ {x }^{2} - 1} } \\ \frac{d( {sec}^{ - 1}5x) }{dx} = \frac{1}{ |5x | \sqrt{25 {x }^{2} - 1} }\\\\y=arccos(\frac{1}{x})\Rightarrow cosy=\frac{1}{x}\\x=secy\Rightarrow y=arcsecx\\\therefore \frac{d( {sec}^{ - 1}x) }{dx} = \frac{1}{ |x | \sqrt{ {x }^{2} - 1} }$

4 0

3 years ago

ryan is going to make a sculpture from a rectangular block of clay. the volume of the block is (x+8)(x-3)(2x-5). A)the volume is

Anna11 [10]

The answer will be a because you’ll multiply what’s in parentheses and then combine like terms

6 0

3 years ago

Find the measures of the numbered angles in each kite.

brilliants [131]

Answer:

x = 9°

y = 26°

Step-by-step explanation:

4x + 6x = 90

10x = 90

x = 9

y + 7(9) +1 = 90

y + 64 = 90

y = 26

8 0

3 years ago

Estimate the values to complete the table.

lbvjy [14]

Answer:

Step-by-step explanation:

For angle C,

cos(∠C) = $\frac{\text{Adjacent side}}{\text{Hypotenuse}}$ = 0.97

sin(∠C) = $\frac{\text{Opposite side}}{\text{Hypotenuse}}$ = 0.26

tan(∠C) = $\frac{\text{Adjacent side}}{\text{Adjacent side}}$ = 0.27

Therefore, from the triangle ABC,

cos(∠A) = cos(90° - ∠C)

= sin(∠C)

= 0.26

sin(∠A) = sin(90 - ∠A)

= cos(∠A)

= 0.97

tan(∠A) = $\frac{\text{sinA}}{\text{cosA}}=\frac{0.97}{0.26}$

= 3.73

Angle $\frac{\text{Adjacent side}}{\text{Hypotenuse}}$ $\frac{\text{Opposite side}}{\text{Hypotenuse}}$ $\frac{\text{Opposite side}}{\text{Adjacent side}}$

A 0.26 0.97 3.73

3 0

3 years ago