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4 years ago

6

Order these numbers from least to greatest. 8.506, 8.6, 8.5612, 8.56

1 answer:

Likurg_2 [28]4 years ago

4 0

Answer:

It goes 8.506, 8.56, 8.5612, 8.6

Happy to Help

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The Kendal Company manufactures automobile engine parts. Running the manufacturing operations requires 12 watts (units of electr

bazaltina [42]

No parts are manufactures is when x=0 because it is run 0 hours

y=amount of elctricity needed
y=12(0)+24
y=0+24
y=24

24 watts are used on a day when no parts are manufactured

6 0

3 years ago

Please help me for the love of God if i fail I have to repeat the class

Elena-2011 [213]

$\theta$ is in quadrant I, so $\cos\theta>0$ .

$x$ is in quadrant II, so $\sin x>0$ .

Recall that for any angle $\alpha$ ,

$\sin^2\alpha+\cos^2\alpha=1$

Then with the conditions determined above, we get

$\cos\theta=\sqrt{1-\left(\dfrac45\right)^2}=\dfrac35$

and

$\sin x=\sqrt{1-\left(-\dfrac5{13}\right)^2}=\dfrac{12}{13}$

Now recall the compound angle formulas:

$\sin(\alpha\pm\beta)=\sin\alpha\cos\beta\pm\cos\alpha\sin\beta$

$\cos(\alpha\pm\beta)=\cos\alpha\cos\beta\mp\sin\alpha\sin\beta$

$\sin2\alpha=2\sin\alpha\cos\alpha$

$\cos2\alpha=\cos^2\alpha-\sin^2\alpha$

as well as the definition of tangent:

$\tan\alpha=\dfrac{\sin\alpha}{\cos\alpha}$

Then

1. $\sin(\theta+x)=\sin\theta\cos x+\cos\theta\sin x=\dfrac{16}{65}$

2. $\cos(\theta-x)=\cos\theta\cos x+\sin\theta\sin x=\dfrac{33}{65}$

3. $\tan(\theta+x)=\dfrac{\sin(\theta+x)}{\cos(\theta+x)}=-\dfrac{16}{63}$

4. $\sin2\theta=2\sin\theta\cos\theta=\dfrac{24}{25}$

5. $\cos2x=\cos^2x-\sin^2x=-\dfrac{119}{169}$

6. $\tan2\theta=\dfrac{\sin2\theta}{\cos2\theta}=-\dfrac{24}7$

7. A bit more work required here. Recall the half-angle identities:

$\cos^2\dfrac\alpha2=\dfrac{1+\cos\alpha}2$

$\sin^2\dfrac\alpha2=\dfrac{1-\cos\alpha}2$

$\implies\tan^2\dfrac\alpha2=\dfrac{1-\cos\alpha}{1+\cos\alpha}$

Because $x$ is in quadrant II, we know that $\dfrac x2$ is in quadrant I. Specifically, we know $\dfrac\pi2$ , so $\dfrac\pi4$ . In this quadrant, we have $\tan\dfrac x2>0$ , so

$\tan\dfrac x2=\sqrt{\dfrac{1-\cos x}{1+\cos x}}=\dfrac32$

8. $\sin3\theta=\sin(\theta+2\theta)=\dfrac{44}{125}$

6 0

4 years ago

The simplified form of an expression is 1 . Which expression was simplified?

Afina-wow [57]

2-1, 3-2, 4-3, 1*1, 1/7, any number of expressions fit the bill here.

3 0

3 years ago

Read 2 more answers

Two numbers that have a difference of 8.

BlackZzzverrR [31]

Answer:

16/2 = 8

24/3 = 8

7 0

3 years ago

Read 2 more answers

PLEASE HELP!!!!!

Ne4ueva [31]

Answer:

Equation: $30=2(x-2)+2(2x+3)$

$x:\frac{14}{3}$

Step-by-step explanation:

By definition, the perimeter of a figure can be calculated by adding the lenghts of its sides.

Knowing this, you can write the following equation:

$P=2(x-2)+2(2x+3)$ <em> [Equation 1]</em>

According to the data given in the exercise, the perimeter in feet of the fighter is:

$P=30$

Therefore, you can substitute this values into<em> [Equation 1]:</em>

$30=2(x-2)+2(2x+3)$

Finally, you must solve for "x" in order to find its value. This is:

$30=6x+2\\\\30-2=6x\\\\\frac{28}{6}=x\\\\x=\frac{14}{3}$

3 0

3 years ago