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3 years ago

Area swept out in the first revolution of spiral r=theta^2

1 answer:

8 0

<span>Answer: rc length=â«âšr2+(drdÎ¸)2â‹…dÎ¸ for a equation r=Î¸2, drdÎ¸=2Î¸ â´ Arc length=â«âšÎ¸4+4Î¸2â‹…dÎ¸ by factoring out Î¸ and rewriting a bit, =â«Î¸âšÎ¸2+4â‹…dÎ¸=12â«(Î¸2+4)12â‹…2Î¸dÎ¸ by General Power Rule, =12â‹…(Î¸2+4)3232+k=13(Î¸2+4)32+k Let's assume that 0â‰¤Î¸â‰¤2Ď€ Arc length=â«2Ď€0âšÎ¸4+4Î¸2â‹…dÎ¸=92.9</span>

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92×43 show work ( I know its easy but I'm tired so help please)

umka21 [38]

Answer:

3956

Step-by-step explanation:

92 * 43

92 * 40 = 3680

92 * 3 = 276

3680 + 276 = 3956

7 0

2 years ago

Evaluate the six trigonometric functions of the angle 0.

Arturiano [62]

Given:

Right triangle

To find:

The six trigonometric functions of θ

Solution:

Hypotenuse = 18

Adjacent side to θ = 10

Opposite side to θ = ?

Using Pythagoras theorem:

$\text {Hypotenuse}^2 = \text{adjacent}^2+\text{opposite}^2$

$18^2 =10^2+\text{opposite}^2$

$324=100+\text{opposite}^2$

Subtract 100 from both sides.

$224=\text{opposite}^2$

Taking square root on both sides.

$4\sqrt{14}=\text{opposite}$

Using trigonometric ratio formula:

$$\sin\theta =\frac{\text{opposite }}{\text{hypotenuse}}$

$$\sin\theta =\frac{4\sqrt{14} }{18}$

$$\csc\theta =\frac{\text{hypotenuse}}{\text{opposite }}$

$$\csc\theta =\frac{18}{4\sqrt{14} }$

$$\cos \theta=\frac{\text { adjacent side }}{\text { hypotenuse }}$

$$\cos \theta=\frac{10}{18}$

$$\sec \theta=\frac{\text { hypotenuse }}{\text { adjacent side }}$

$$\sec \theta=\frac{18 }{10}$

$$\tan \theta=\frac{\text { opposite side }}{\text { adjacent side }}$

$$\tan \theta=\frac{4\sqrt{14} }{10}$

$$\cot \theta=\frac{\text { adjacent side }}{\text { opposite side }}$

$$\cot \theta=\frac{10}{4\sqrt{14} }$

8 0

3 years ago

Y+3=2(x-1) im not so sure that i got the answer correct.

Vikentia [17]

So just try it for x=1 how many will get for y

y+3=2(x-1) for x = 1 will get y+3 =2(1-1) so y+3=2*0 so y+3=0 so y=-3

x=1
y=-3 so choice A.(1,-3) is right sure

hope this will help you

8 0

2 years ago

Lines m and n are parallel. Which angle has a measure of 110°?

grigory [225]

This might help you..need more information

6 0

2 years ago

Please help me out :)

Alex17521 [72]

79-y=2y+22

Add y on both sides

79=3y+22

Subtract 22 from both sides

57=3y

Divide by 3 on both sides

19=y

3 0

3 years ago