Answer:
Step-by-step explanation:
3 1/7 = 3.142857
3 10/71 = 3.140845
Actual value of pi = 3.14159 to 5 decimal places.
The actual value of pi is larger than 3.140845
The actual value of pi is smaller than 3.142857.
Note the key word is between
3.1408 < pi < 3.142857
When I taught school, I tried to impress upon my students that the counting systems of the ancients was so crude that it was a miracle they could come up with any kind of estimate especially one like 3 and 10/71.
There is mention of pi in the Bible (somewhere in 2nd Kings). It gives a value of 3. You make think that is a pretty poor estimate. but if you knew how the counting system worked, you'd be impressed by how good the answer was. The history of man is one of baby steps until now when we are making giant strides in almost every field that involves numbers. Any mysteries have multiplied by just as much.
Answer:
49
Step-by-step explanation:
The area of a shape is the amount of space it can occupy.Laura's design will be light enoughThe shape is given as a trapezium (see attachment).First, calculate the height (h) of the trapezium using the following Pythagoras theorem 52=h2+x2 Where: x=11−92=1 So, we have: 52=h2+x2 52=h2+1225=h2+1 Collect like terms h2=25−1 h2=24 Take square root sh=4.90The area of the shape is then calculated as follows: Area=12(11+9)×h Area=12(11+9)x4.90 Area=12×20×4.90 Area=10×4.90 Area=49
The area of the shape is 49 square inches.Hence, the shape will be light enough (because 49 is less than 80
Answer:
m∠BPD = 120
mBC + mAD = 120°
Step-by-step explanation:
according to intersecting chord theorem: The measure of the angle formed by two chords that intersect inside the circle is the sum of the chords' intercepted arcs.
m∠BPD = (M∠BD + M∠CA)
= (70 + 170)
= (240)
m∠BPD = 120
We know that a circle has a total of 360° around the center of circle. To find the measure of the remaining measure of angle of arcs, subtract them from the whole that is 360°
mBC + mAD = 360 - ( 70 + 170 )
= 360 - 240
mBC + mAD = 120°
The area of the polygon with the given vertices: (-3,3) (-3,-1) (4,-1) (4,3) is 28 square units
<h3>What is rectangle ?</h3>
A rectangle is a polygon with four sides. The opposite sides of a rectangle are equal while the angles at the vertex is orthogonal
<h3>How to solve for area of the rectangle</h3>
The following are the data given in the question
polygon with the given vertices' as:
(-3,3)
(-3,-1)
(4,-1)
(4,3)
plotting the given polygon shows it is a rectangle with sides
Length, L = 7 units
Width, w = 4 units
Area if a rectangle is given by
= L * w
= 7 * 4
= 28 square units
The area of the polygon is 28 square units
Learn more in area of rectangle: brainly.com/question/16239445
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Answer: C.
Step-by-step explanation: I used m.athway