This is the concept of geometry, given that AB=AC, it means that the tirangle is isosceles, thus to get the value of AB and AC we proceed as follows;
thus using the cosine rule:
c^2=a^2+b^2-2abcosC
suppose\AB=AC=x
thus;
8^2=x^2+x^2-2*x*xcos15
64=2x^2-2x^2cos15
64=2x^2-1.9x^2
64=0.1x^2
x^2=640
x=sqrt640
x=25.3
hence;
AC=AB=25.3
<span>y − 1 = 4(x + 3)
y - 1 = 4x + 12
y = 4x + 13, slope = 4
parallel lines, slope is the same so slope = 4
</span><span>passes through the point (4, 32)
</span>y = mx+b
b = y - mx
b = 32 - 4(4)
b = 32 - 16
b = 16
equation
y = 4x + 16
Answer:
We have
Stock = $200
Bonds = $100
Substitute these values into 1.08s+1.02b, where 's' is stock and 'b' is bond
1.08(200)+1.02(100)=318
Predicted end of year value is $318
Step-by-step explanation:
Answer:
15.22
Step-by-step explanation:
The equation of the circumference of a circle is 2(pi)r
This is actually because 2pi is angle of the arc that makes up the full circle (radians of course)
so a simple formula is:
arc length in radians X radius
radius = 4 cm
the area that the question wants is the oposite
of the 142 degree section so 360 - 142 = 218
218 degrees * (pi/180) = 3.80482 rad
3.80482 * 4 = 15.21928 cm