Try using 1070 degrees as the sum of the interior angles of a convex polygon, we get:
1070 =[n - 2] x 180 (n = number of sides)
1070 =180n - 360
180n =1070+360
180n =1430
n = 1430 / 180
n = 7.94 number of sides.
Round the number up to 8 since 7.94 isn’t whole.
So, the convex polygon is an octagon with sum of its interior angles:
[8 - 2] x 180 =1080 degrees.
The center of the circle is midpoint of the diameter:
The radius is equal the distance between C and Q:
An equation of a circle:
(x - a)² + (y - b)² = r²
(a; b) - a coordinates of a center
r - a radius
r = √65; (-3; 2) ⇒ a = -3 and b = 2
subtitute
(x - (-3))² + (y - 2)² = (√65)²
Answer:
the center: (-3; 2)the radius: √65the equation of the circle: (x + 3)² + (y - 2)² = 65
Answer: Absolute value
Step-by-step explanation: Absolute value means <em>distance from zero</em> on a number line. We represent the absolute value of a number by using a vertical bar on either side of the number. Absolute value will always be positive except for 1 special case which I provided in the image attached.
You have to expand the expression so that it becomes
3m+3n
Answer:
1 2/9 minutes
Step-by-step explanation:
55 mph
55 / 60 = 11/12
11/12 of a mile = 1 minute
45 mph
45 / 60 = 3/4
3/4 of a mile = 1 minute
11/12 divided by 3/4
11/12 * 4/3
We can cross-cancel
11/3 * 1/3 = 11/9 = 1 2/9
It takes 1 2/9 minutes for the hummingbird to cross the lake
Hope this helps!
(Please let me know if I did something wrong!)