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3 years ago

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Dr. Black is standing 15 feet from a streetlamp. The lamp is making his shadow 8 feet long. He estimates that the angle of eleva

tion from the tip of his shadow to the top of the street lamp 50 degrees. To the nearest foot, the streetlamp is about

1 answer:

Stella [2.4K]3 years ago

6 0

Check the picture below.

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Please solve for the hypotenuse of a right triangle having legs 6 and 8. *

Arturiano [62]

Answer:

10

Step-by-step explanation:

6²+8²

=100

√100

=10

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3 years ago

Evaluate the line integral for x^2yds where c is the top hal fo the circle x62 _y^2 = 9

natulia [17]

Parameterize $C$ by

$\mathbf r(t)=\langle x(t),y(t)\rangle=\langle3\cos t,3\sin t\rangle$

where $0\le t\le\pi$ . Then the line integral is

$\displaystyle\int_Cx^2y\,\mathrm dS=\int_{t=0}^{t=\pi}x(t)^2y(t)\left\|\frac{\mathrm d\mathbf r(t)}{\mathrm dt}\right\|\,\mathrm dt$
$=\displaystyle\int_{t=0}^{t=\pi}(3\cos t)^2(3\sin t)\sqrt{(-3\sin t)^2+(3\cos t)^2}\,\mathrm dt$
$=\displaystyle3^4\int_{t=0}^{t=\pi}\cos^2t\sin t\,\mathrm dt$

Take $u=\cos t$ , then

$=\displaystyle-3^4\int_{u=1}^{u=-1}u^2\,\mathrm du$
$=\displaystyle3^4\int_{u=-1}^{u=1}u^2\,\mathrm du$
$=\displaystyle2\times3^4\int_{u=0}^{u=1}u^2\,\mathrm du$
$=54$

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3 years ago

Henry cut a piece of yarn that was 11/6 feet long into two pieces lost two different pairs of fractions that could show the leng

pishuonlain [190]

I need help on that to. We have a test tomorrow and I can't figure it out and I need help:(

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3 years ago

Jen classifies the number 4.567 as an irrational number because it does not repeat. Is Jen correct? Explain.

lilavasa [31]

Answer:

Yes

Step-by-step explanation:

That number is irrational because it does not repeat and rational number repeats

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3 years ago

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Use compatible numbers to find two estimates: 17 ÷1569

Mekhanik [1.2K]

I dont know what you mean but i devided 17 and 1569 and it =s 0.0108349267

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3 years ago