The measure of all the angles of triangle are 27.5° , 110° and 42.5°.
The angle sum property states that the sum of angles in a triangle is 180°. That is if the angles of a triangle are A,B and C then
angle A + angle B + angle C = 180° (1)
According to the question,
Let the smallest angle be x°
Then the second angle will be 4 times the other on which is 4x°
And the third angle will be 15° greater than the smallest one which will be = 15° + x°
Now putting all the required values in equation (1) we get,
x° + (4x°) + (15° + x°) = 180°
6x° = 180° - 15°
x° = 165°/6
x° = 27.5°
Thus the angles will be,
Smaller angle = x° = 27.5°
Other angle = 4x° = 4*27.5° = 110°
Third angle = 15° + x° = 15° + 27.5° = 42.5°
Learn more about the angle sum property here : brainly.com/question/21099419
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First, you must know these formula d(e^f(x) = f'(x)e^x dx, e^a+b=e^a.e^b, and d(sinx) = cosxdx, secx = 1/ cosx
(secx)dy/dx=e^(y+sinx), implies <span>dy/dx=cosx .e^(y+sinx), and then
</span>dy=cosx .e^(y+sinx).dx, integdy=integ(cosx .e^(y+sinx).dx, equivalent of
integdy=integ(cosx .e^y.e^sinx)dx, integdy=e^y.integ.(cosx e^sinx)dx, but we know that d(e^sinx) =cosx e^sinx dx,
so integ.d(e^sinx) =integ.cosx e^sinx dx,
and e^sinx + C=integ.cosx e^sinxdx
finally, integdy=e^y.integ.(cosx e^sinx)dx=e^2. (e^sinx) +C
the answer is
y = e^2. (e^sinx) +C, you can check this answer to calculate dy/dx
3^2 * 3^4 *3^6 = 3^12
answer <span>
C) 3 to the 12th power</span>
Answer:
just add
32 plus 9
Step-by-step explanation:
