As you increase the subintervals the area will be closer and closer to the real value. In other words your approximation gets better.
As you increase the intervals, there will be more rectanagles and the added area of these rectangles are converging towards the actual area under the curve.
Answer:
140 students are in the school
Step-by-step explanation:
According to the Pie Chart, 70 students are 50%. So then, you multiply 50% of the survey to get 100% (the entirety surveyed). So 70 x 2 = 140
So there were 140 students in the school.
The circumference of a circle is found with the equation
C = 2 pi * r
Since we have the circumference we can find the radius. Then once we have the radius we can determine the diameter.
9619 = 2 (22/7) r
multiply each side by 7
67333 = 2*22*r
67333 = 44r
divide each side by 44
r = 67333/44 = 1530.295 rounded to the nearest hundredth = 1530.30
The diameter is 2 x the radius, so
1530.30 x 2 = 3060.6 ft
The diameter of the crater is 3060.6 ft
Answer:
Step-by-step explanation:
First you need to convert it to a linear expression.
3x - y = 4
+3x +3x
-1y = 3x + 4
--- ----- -----
-1 -1 -1
y = -3x -4
6x - 2y = 7
-6x -6x
-2y = -6x + 7
---- ----- -----
-2 -2 -2
y = 3x - 3.5
-3x - 4 = 3x - 3.5
+3x +3x
-4 = 6x - 3.5
+3.5 +3.5
-0.5 = 6x
----- -----
6 6
-0.5
------ = x
6
A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The length of GF is 254 units.
<h3>What is a triangle?</h3>
A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angles of a triangle is always equal to 180°.
Since a centroid of a triangle divides the median into a ratio of 2:1. Therefore, the ratio of AG: DG is,
AG / DG = 2/1
(19x+14)/(9x+20) = 2/1
19x + 14 = 18x + 40
19x - 18x = 40 - 14
x = 26
Assuming the triangle is an equilateral triangle, therefore, the length of GF will be,
GF = DG = 9x+20
GF = DG = 9(26) + 20
GF = 254 units
Hence, the length of GF is 254 units.
Learn more about Triangle:
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