Triangle is equilateral with sides of 6.
Therefore all angles = 60°
Ht of 30-60-90 is 3sr3 = 5.196
Area of 30-60-90 = 1/2×b×h = 3×5.196
Area = 15.59
Pie slice from each corner = 60/360×pi×r^2, with r = 3
1/6×pi×9 = 4.71 × 3 pie slices = 14.13
So, shaded inner region = area triangle - 3 pie corners = 15.59-14.13
= 1.46
Answer:
Linear would be fine as it doesn't decrease to under zero
and a curve graph would represent this data fine at 10818 turning point.
Step-by-step explanation:
Answer:
B. (-7,-3)
Step-by-step explanation:
Given the circle: 
The point (x,y) which lie on the circle are the coordinate which satisfies the given equation of the circle.
We now consider the given options.
<u>Option A (5,12)</u>
When x=5, y=12
<u>Option B (-7,-3)</u>
When x=-7, y=-3
<u>Option C (-6,-10)</u>
When x=-6, y=-10
<u>Option D (6,23)</u>
When x=6, y=23
We can see that only (-7,-3) satisfies the equation of the circle. Thus it is the point which lies on the circle.
The correct option is B.
Answer: the 57 the term is - 909
Step-by-step explanation:
The formula for determining the nth term of an arithmetic sequence is expressed as
Tn = a + d(n - 1)
Where
a represents the first term of the sequence.
d represents the common difference.
n represents the number of terms in the sequence.
From the information given,
a = - 13
d = - 29 - - 13 = - 45 - - 29 = - 16
n = 57
We want to determine the value of the 57th term, T57. Therefore,
T57 = - 13 - 16(57 - 1)
T57 = - 13 - 896
T57 = - 909
