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Diano4ka-milaya [45]
3 years ago
11

Please help me with this one question. THANKS!

Mathematics
1 answer:
geniusboy [140]3 years ago
4 0
The answer is A y-28=3(x-6)
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2.64575131106 I don’t know if you need to round the answer or not
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HELP ME PLEASE!<br> Find the equation of the line.<br> Use exact numbers.
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Two ropes are attached to a large ballon in a parade. The people holding the ropes are 40 feet apart,and the angle between the t
qaws [65]

Ropes are 9.63 meters ans 8.178 meters.

<u>Step-by-step explanation:</u>

Step 1 :

List all the given things

         Distance between people holding ropes = 40 =(40*0.3048) meters = 12.192 meters

         Angle between two ropes = 86 degrees

         Angle of elevation of one rope = 42 degrees

Step 2 :

Two angles of triangle are already given so third angle can be calculated as -  

            Third angle = 180 - ( 86 + 42 ) = 52 degrees

Step 3 :

As we know all three angles we will apply sine rule now, which is

\frac{a}{sine A} = \frac{b}{sine B} = \frac{c}{sine C}

Step 4 :

By putting values, we have

\frac{a}{sine 52} = \frac{b}{sine 42} = \frac{12.192}{sine 86}

Step 5 : Calculating a and b

a = 12.192 * \frac{sine 52}{sine 86}   ,   b = 12.192 * \frac{sine 42}{sine 86}      

Step 6 :

By putting values of all sine and calculating we get,

a = 9.63 meters and b = 8.178 meters                                

4 0
3 years ago
3. Heating from the sun is more direct at the equator then at the North and
inna [77]

Answer:

true

Step-by-step explanation:

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Given that x+y=1, we have y=1-x, so that

f(x,y)=x^2+y^2\iff g(x)=x^2+(1-x)^2

Take the derivative and find the critical points of g:

g'(x)=2x-2(1-x)=4x-2=0\implies x=\dfrac12

Take the second derivative and evaluate it at the critical point:

g''(x)=4>0

Since g'' is positive for all x, the critical point is a minimum.

At the critical point, we get the minimum value g\left(\frac12\right)=f\left(\frac12,\frac12\right)=\frac12.

5 0
3 years ago
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