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3 years ago

Find the measure of the angle indicated Pls help

Mathematics

1 answer:

madam [21]3 years ago

5 0

Answer:

50°

Step-by-step explanation:

The missing angle is an exterior angle

The formula says, that the sum of the two apposite adjacent angles inside the triangle equals two the exterior angle.

So 30° + 20° = 50°

The missing angle is 50°

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-Chetan K

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a ferrus wheel has a circumference of 89.49ft what is the approximately radius of the Ferris wheel? use 3.14 for pi

inysia [295]

$\sf C=2\pi r$

Plug in what we know:

$\sf 89.49=2(3.14)r$

Simplify:

$\sf 89.49=6.28r$

Divide 6.28 to both sides:

$\sf r=\boxed{\sf 14.25\? ft}$

So the radius of the ferris wheel is 14.25 feet.

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4 years ago

18 is 40% of what number?

timofeeve [1]

18 is 40% of : 45
explanation
18/x = 40/100

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3 years ago

Find the vectors T, N, and B at the given point. r(t) = < t^2, 2/3t^3, t >, (1, 2/3 ,1)

maxonik [38]

Answer with Step-by-step explanation:

We are given that

$r(t)=< t^2,\frac{2}{3}t^3,t >$

We have to find T,N and B at the given point t > (1, $2/3$ ,1)

$r'(t)=$

$\mid r'(t) \mid=\sqrt{(2t)^2+(2t^2)^2+1}=\sqrt{(2t^2+1)^2}=2t^2+1$

$T(t)=\frac{r'(t)}{\mid r'(t)\mid}=\frac{}{2t^2+1}$

Now, substitute t=1

$T(1)=\frac{}{2+1}=\frac{1}{3}$

$T'(t)=\frac{-4t}{(2t^2+1)^2} +\frac{1}{2t^2+1}$

$T'(1)=-\frac{4}{9}+\frac{1}{3}$

$T'(1)=\frac{1}{9}=$

$\mid T'(1)\mid=\sqrt{(\frac{-2}{9})^2+(\frac{4}{9})^2+(\frac{-4}{9})^2}=\sqrt{\frac{36}{81}}=\frac{2}{3}$

$N(1)=\frac{T'(1)}{\mid T'(1)\mid}$

$N(1)=\frac{}{\frac{2}{3}}=$

$N(1)=$

$B(1)=T(1)\times N(1)$

$B(1)=\begin{vmatrix}i&j&k\\\frac{2}{3}&\frac{2}{3}&\frac{1}{3}\\\frac{-1}{3}&\frac{2}{3}&\frac{-2}{3}\end{vmatrix}$

$B(1)=i(\frac{-4}{9}-\frac{2}{9})-j(\frac{-4}{9}+\frac{1}{3})+k(\frac{4}{9}+\frac{2}{9})$

$B(1)=-\frac{2}{3}i+\frac{1}{3}j+\frac{2}{3}k$

$B(1)=\frac{1}{3}$

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3 years ago

After visiting the Titanic, Captain Brain and Mr. Pinky are taking the Alvin submarine back to the surface of the water. They st

ivanzaharov [21]

Answer:

$m=37h-1500$ .

Step-by-step explanation:

Let m represent meters and h represent hours.

We have been given that Captain Brain and Mr. Pinky start 1500 meters below the surface of the water and ascend at 37 meters per hour.

Since the submarine ascends at a rate of 37 meters per hour, so elevation of submarine after h hours would be $37h$ .

Since the elevation under water surface is negative, so 1500 meters below the surface of water would be $-1500$ .

The final elevation in meters of submarine after h hours would be initial elevation plus change in elevation after h hours that is $m=37h-1500$ .

Therefore, the equation $m=37h-1500$ . represents the given scenario.

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4 years ago

Is pi rational?? helppppp

Katyanochek1 [597]

Answer:

Yes

Step-by-step explanation:

Pi is a rational number, because it goes on forever.

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3 years ago