Step-by-step explanation:
Answer:
8.75cm²
Step-by-step explanation:
First we need to find the angle subtended by the arc
L = theta/360 * 2pir
3.5 = theta/360 * 2*3.14(5)
3.5 = theta/360 * 31.4
theta/360 = 3.5/31.4
theta/360 = 0.11146
theta = 0.11146 * 360
theta = 40.13 degrees
Area of the sector = theta/360 * pir^2
Area of the sector = 40.13/360 * 3.14*25
Area of the sector = 40.13/360 * 78.5
Area of the sector = 8.75cm
Hence the area of the sector is 8.75cm²
Answer:
y = -0.83x - 2
Step-by-step explanation:
Slope intercept form is y = mx+b.
M is the slope: In this case the slope (rise/run) is 10/12. However, the slope is decreasing is that would make it negative.
Now we have: y = -0.83x + b
B represents the y-intercept. The y-intercept here is -2. So our final equation is:
y = -0.83x - 2
As per the Intersecting Chords theorem, if two chords cross in a circle, the products of the chord segments' measures are equal. The measure of the line segment is DF is 14 units.
<h3>What is Intersecting Chords theorem?</h3>
If two chords cross in a circle, the products of the chord segments' measures are equal.
As per the Intersecting Chords theorem, the product of DF and FB will be equal to the product of CF and FA, therefore,
DF×FB = CF×FA
(x+8) × 8 = 16 × 7
(x+8) = (16×7)/8
(x+8) = 14
Hence, the measure of the line segment is DF is 14 units.
Learn more about Intersecting Chords theorem:
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Answer:
She should buy the monthly plan for the unlimited movies rather than pay $2.99 per movie. This is because, the more she pay that amount for each movie, the higher her expenses would become at the end of each month.
For example, let assume, in a month, she 8 free days (Saturday and Sunday). She paying for each movie each of those days would supersede the amount she could have spent assuming she did the unlimited monthly plan of $7.99.
That notwithstanding other days which will feel like watching movies or the public holidays which she would be free to relax.
Step-by-step explanation:
