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Lostsunrise [7]
3 years ago
11

If cos θ = .62 and if 0<θ<90 what is the approximate value of sin θ to the nearest hundredth

Mathematics
1 answer:
Deffense [45]3 years ago
5 0
\cos\Theta=0.62\\\\\text{Use:}\ \sin^2\alpha+\cos^2\alpha=1\\\\\sin^2\Theta+(0.62)^2=1\\\\\sin^2\Theta+0.3844=1\ \ \ |-0.3844\\\\\sin^2\Theta=0.6156\to\sin\Theta=\pm\sqrt{0.6156}\\\\\sin\Theta_1\approx-0.78\ \vee\ \sin\Theta\approx0.78\\\\\Theta\in(0^o;\ 90^o),\ therefore\ \sin\Theta \ \textgreater \  0\to\boxed{\sin\Theta\approx0.78}
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7 0
3 years ago
Estimate the line of best fit using two points on the line 100 90 80 70 (e, 80) 60 30 20 10 (2.20) 10 O A. y= 2x O B. y = 2x+10
nexus9112 [7]

Answer:

y = 10x

Step-by-step explanation:

Given

The attached plot

Required

The line of the best fit using (8,80) and (2,20)

We have:

(x_1,y_1) = (8,80)

(x_2,y_2) = (2,20)

Calculate slope (m)

m = \frac{y_2 - y_1}{x_2 - x_1}

m = \frac{20 - 80}{2- 8}

m = \frac{-60}{-6}

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The equation is then calculated using:

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Expand

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5 0
3 years ago
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lyudmila [28]

Answer:

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Step-by-step explanation:

From the question,

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Rise in temperature (T) = 4 degree celsius, t = 10.00 am to noon = 2 hours.

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(b) Also,

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T' = T/t

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Step-by-step explanation:

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Answer:

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