Find the area of the polygon.
1 answer:
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Answer:
$4793.12
Step-by-step explanation:
The first step in working out the amount after 15 years is to convert the percentage of 6% to a decimal. You can do this by dividing 6 by 100, this gives you 0.06. This is because a percentage is out of 100.
The next step is to add 1 to the value of 0.06, this gives you 1.06. You would add 1 as you are working out a percentage increase.
The final step is to multiply the amount of $2000 by the value of 1.06 to the power of 15, this gives you 4793.12 (rounded to 2 decimal places). This is because we are working out the percentage of $2000 and then adding that on to be recaluclated with the new amount.
1) Divide 6 by 100.
2) Add 1 to 0.06.
3) Multiply 2000 by 1.06 to the power of 15.
Answer:
12. X = 100°, Y = 80°, Z = 160°
13. x = 65°
Step-by-step explanation:
Lets revise some facts in the circle
- The measure of the angle formed from the intersection of a tangent and a chord in a circle is equal to one-half the measure of the intercepted arc of the chord
- When two chords, intersect inside a circle then the measure of the angles formed is one-half the sum of the measures of the intercepted arcs.
Now lets solve the two problems
12.
∵ Y is an angle formed from the intersection of a chord and a tangent
∴ Y = the measure of the intercepted arc Z
∵ The measure of opposite arc to angle x is 200°
∵ The measure of the circle is 360°
∴ The measure of the arc Z = 360 - 200
∴ The measure of the arc Z = 160°
∴ Z = 160°
Substitute it in the expression of m∠Y
∴ Y = × 160°
∴ Y = 80°
∵ X and Y are formed from the intersection of line and ray
∴ X + Y = 180° ⇒ linear pair of angles
∵ Y = 80°
∴ X + 80 = 180
- Subtract 80 from both sides
∴ X = 100°
13.
∵ x is formed from the intersection of two chords in a circle
- That means the value of x is one-half the sum of the measures
of the two intercepted arcs
∴ x = the sum of the measures of the intercepted arcs.
∵ The measures of the intercepted arcs are 100° and 30°
∴ x = (100 + 30)
∴ x = (130)
∴ x = 65°