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timofeeve [1]
3 years ago
10

Evaluate the following expression using the given value of the variables

Mathematics
1 answer:
bogdanovich [222]3 years ago
4 0
256 is the answer hope that helped. 

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A triangle has two constant sides of length 5 feet and 7 feet. The angle between these two sides is increasing at a rate of 0.9
o-na [289]

Answer:12.74 ft^2/s

Step-by-step explanation:

Given

Two sides of triangle of sides 5 ft and 7 ft

and angle between them is increasing at a rate of 0.9 radians per second

let \thetais the angle between them thus

Area of triangle when two sides and angle between them is given

A=\frac{ab\sin C}{2}

A=\frac{5\times 7\times \sin \theta }{2}

Differentiate w.r.t time

\frac{\mathrm{d} A}{\mathrm{d} t}=\frac{35\cos theta }{2}\times \frac{\mathrm{d} \theta }{\mathrm{d} t}

at \theta =\frac{\pi }{5}

\frac{\mathrm{d} A}{\mathrm{d} t}=\frac{35\times cos(\frac{\pi }{5})}{2}\times 0.9

\frac{\mathrm{d} A}{\mathrm{d} t}=12.74 ft^2/s

4 0
3 years ago
PLEASE HELP! THANKS!
Alina [70]
If you add everything up then
14x-2=180
14x=182
x= 13
 
So the angles would equal
2(13)+1= 27
3(13)-3= 36
9(13)= 117
The angles are 27 36 and 117
Which makes the smallest angle 27 which is B.
8 0
3 years ago
Read 2 more answers
Who is correct jo or alex
REY [17]

Neither Alex nor Jo are correct, because surface area is a 2-dimensional quantity, so it would be given in just square units, not linear nor cubic.

So the answer is D

8 0
3 years ago
On a coordinate grid, in which quadrant is the point (-5,4) located
lapo4ka [179]
Quadrant 2 is its location.
3 0
3 years ago
Read 2 more answers
Select the correct solution set. 50 ≥ 15x
Semenov [28]
The answer (i think) is 3 <span>≥</span> x. hope i helped
7 0
3 years ago
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