Given the radius, circumference can be solved by the equation, C = 2πr. The circumference of the circle above is C = 2π(8 in) = 16<span>π in. To solve for the length of the segment joining the arc is the circumference times the ratio of central angle and 360 degrees.
Length of the segment = (16</span>π in)(60/360) = 8/3 <span>π in
Thus, the length of the segment is approximately 8.36 in. </span>
To solve this problem,
we must recall that the formula for money with compound interest is calculated
as:
Total = Principal × (
1 + Rate ) ^ n
Total = $2,200 × ( 1 +
0.024 ) ^ 1
Total = $2,252.80
<span>Therefore the answer
is letter B.</span>
Answer:
28x-35
Step-by-step explanation:
4x*7=28x
5*7=35
18=3+36x-50x-55
18=3-14x-55
18=-14x-52
70=-14x
x=-5
<span>Let A be the center of a circle and two angles at the adjacent center AOB and BOC. Knowing the measure of the angle AOB = 120 and the measure BOC = 150, find the measures of the angles of the ABC triangle.
</span>solution
Given the above information;
AC=AB, therefore ABC is an isosceles triangle.
therefore, BAO=ABO=(180-120)/2=30
OAC=OCA=(180-90)/2=45
OBC=BCO=(180-150)/2=15
THUS;
BAC=BAO+OAC=45+30=75
ABC=OBA+CBO=15+30=45
ACB=ACO+BCO=15+45=60