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OverLord2011 [107]
4 years ago
10

51 please and thank you!

Mathematics
1 answer:
SpyIntel [72]4 years ago
3 0

Check the picture below.

Bearing in mind that above sea level units are positive and below it are negative.

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One side of a triangle is increasing at a rate of 9 cm/s and a second side is decreasing at a rate of 2 cm/s. if the area of the
LenKa [72]
Use the attached figure to guide yourself through the explanation. In the figure:
a=21cm, b=36cm, \widehat{C}=\frac{\pi}{6}.
We know that:
 \frac{da}{dt}=9,\frac{db}{dt}=-2
Also remmeber that the area of a triangle is:
A=\frac{Base\times Height}{2}
The hegiht is shown in the figure in red, the base is just the b side.
Using the angle C the area of the triangle is:
A=\frac{1}{2}ab\cos(\widehat{C})\implies2A=ab\cos(\widehat{C})
Now taking the derivative of the area 2A with respect to t we have:
2\frac{dA}{dt}=b\cos(\widehat{C})\frac{da}{dt}+a\cos(\widehat{C})\frac{db}{dt}-ab\sin(\widehat{C})\frac{d\widehat{C}}{dt}

Replacing with the right values:
\frac{dA}{dt}=0\\
\\
\cos({\widehat{C}})=\frac{\sqrt{3}}{2}\\ \\
\sin({\widehat{C}})=\frac{1}{2}\\ \\


yields:
0=36\frac{\sqrt{3}}{2}.9-21\frac{\sqrt{3}}{2}.2-\frac{1}{2}.21.36.\frac{d\widehat{C}}{dt}\implies \frac{d\widehat{C}}{dt}=\frac{141}{378}\sqrt{3}

5 0
4 years ago
Answer ? I need helpppppp
emmainna [20.7K]

Answer:

1/3138428376721

or

3.18630817 * 10^-13

The answer is A

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3 years ago
Read 2 more answers
Please help me i have inly minutes left​
Shkiper50 [21]
D is the correct answer
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Use an exponent to write each expression 3/4 x 3/4 x 3/4 x 3/4 x 3/4
Advocard [28]

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{ \frac{3}{4} }^{5}

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The endpoints of a segment are (4,2) and (-2,2). What are the endpoints of the segment after it has been translated 6 units down
Yuki888 [10]
(4,-4) and (-2,-4)

hope that helps!
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4 years ago
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