Answer:
55 degrees
Step-by-step explanation:
Given that a circle and inside two chords with same arc length.
We are to find the angle between the two chords.
Given that two arcs subtend angle 125 degrees at the centre.
Let us join the two ends of chords to make the figure as a triangle inside a circle.
The triangle is isosceles as two arcs and hence chords are equal.
By central angle theorem we have the two equal angles as 1/2 (125) = 62.5
Hence we have a triangle with two equal angles 62.5 and another angle 1.
By triangle sum of angles theorem
angle 1+62.5+62.5 = 180
Hence angle A = 180-62.5-62.5 = 55 degrees.
Formula:
(3.14)r^2
Larger one:
(3.14)(3)^2
28.26 * 13
367.38 in^2
Smaller one:
(3.14)(3)^2
28.26 * 8
226.08 in^2
Answer: 432 units²
Step-by-step explanation:
The figure is composed by two trapezoids.
The formula for calculate the area of a trapezoid is:

Where "B" is the larger base, "b" is the smaller base and "h" is the height.
Let be
the area of the figure,
the area of the trapezoid on the left and
the area of the trapezoid of the right. Then the area of the figure will be:


Substituting values, you get:

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Answer:The answer is 42 gallons.
Step-by-step explanation:
The car traveled 180 miles on 6 gallons of gas, so it got 30 miles per gallon. So divide 1260 by 30 to find the number of gallons needed to go 1260 miles.
Multiply amount sold by commission rate:
4500 x 0.13 = 585
She made $585 last week.
Multiply amount made in 1 week by 52 weeks ( 1 year = 52 weeks)
585 x 52 = 30,420
She made $30,420 in 2011