Answer and explanation:
Given:
Royal soil= $6.50 per pound
Royal peasant = $2 per pound of 10 pounds
Blend total pounds is x+10, price is unknown hence solved below
Using algebra
We find unknown x = number of pounds of royal soil
$6.50(x)+$2(10)=6.50x+20/x+10(x+10)
= 6.50x+20= 6.50x²+85x+200
Circumference = 2 * PI * radius
circumference = 2 * PI * 12.6
If the central angle is 120°, then the arc will be exactly one third of the circumference.
arc length = (2 * PI * 12.6) / 3
arc length = 8.4 PI
It says that the triangles are congruent (same size). Also, a triangle's angles add up to 180 degrees. In both of these triangles, one angle is 90° and another angle is 52°. The other angle is 180°-90°-52°=38°.
Solve these equations to find x and y: 2x+18=38, 3y+11=38
