Rectangle diagonals are equal.
2(5a+1) = 2(a+1)
10a + 2 = 2a + 2
10a -2a = 2 - 2
8a = 0
⇒ a = 0
AC = 2(5a+1) = 2(5 × 0 +1)= 2(0 + 1) = 2 × 1 = 2 <span>
</span>BD = 2(a+1) = 2(0 + 1) = 2 <span>× 1 = 2
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Ansver: AC = BD = 2
Answer:
Using the graph, just look at the exact spot where the lines are intersecting and that point is the solution.
The solution is: (1.2, -1.6)
Step-by-step explanation:
You can also test this by plugging the values of the point into both equations.
The answer is Letter C - 130<span>°
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Coterminal Angles are angles that share a common terminal or end position. In finding the coterminal angle, you can add or deduct 360°. In this case, you are asked to get its positive coterminal angle. You will simply add 360° to -230°.
Solution: 360° + -230° = 130°
What you must do is add up the total amount of medical expenses:
Albert's medical expenses total $ 12,000
Sam's come to $ 8,000
Adding we have:
$ 12,000 + $ 8,000 = $ 20,000
Sue Jones is insured for the amount of 10/20
So:
(10/20) * (20000) = 10000
answer
The insurance will pay $ 10,000
9514 1404 393
Answer:
97.42 square units
Step-by-step explanation:
The area of a sector is given by ...
A = (1/2)r²θ
where r is the radius (12.2) and θ is the central angle in radians. Here, you're given the central angle as 75°, so you need to convert that to radians.
75° = (75°)×(π/180°) radians = (5/12)π radians
Then the area is ...
A = (1/2)(12.2²)(5π/12) = 744.2π/24 ≈ 97.42 . . . square units
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Equivalently, you can find the area of the circle in the usual way:
A = πr² = π(12.2²) ≈ 467.59465
Then, multiply by the fraction of the circle that is shaded (75°/360°)
sector area = (467.59465)(75/360) = 94.42 . . . square units
