<u>The approximate area of the </u><u>hexagon</u><u> = </u><u>672 cm²</u>
What is hexagon ?
- In geometry, hexagon is a polygon with 6 sides.
- If the lengths of all the sides and the measurement of all the angles are equal, such hexagon is called a regular hexagon.
- In other words, sides of a regular hexagon are congruent.
apothem of the hexagon = 14 cm
perimeter of the hexagon = 96 cm
Area of the hexagon = [(3√3) / 2] a² ; where a is the measure of the side
hexagon has 6 sides.
Perimeter = 6a
96 cm = 6a
96 cm / 6 = a
16 = a
There are 6 triangles in the hexagon .
Area of a triangle = (height * base) / 2
A = (14 cm * 16 cm) / 2
A = 224 / 2
A = 112 cm²
The approximate area of the hexagon = 112 cm² * 6 triangles = 672 cm²
Learn more about hexagon .
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Answer:
6 the correct answer okay.
Answer:
a) 0.0081975
b) 0.97259
Step-by-step explanation:
The line width for semiconductor manufacturing is assumed to be normally distributed with a mean of 0.5 micrometer and a standard deviation of 0.05 micrometer
We solve using z score formula
z = (x-μ)/σ, where
x is the raw score
μ is the population mean
σ is the population standard deviation.
a. What is the probability that a line width is greater than 0.62 micrometer?
z = 0.62 - 0.5/0.05
z = 2.4
Probability value from Z-Table:
P(x<0.62) = 0.9918
P(x>0.62) = 1 - P(x<0.62)
= 0.0081975
b. What is the probability that a line width is between 0.4 and 0.63 micrometer?
For 0.4
z = 0.4 - 0.5/0.05
= -2
Probability value from Z-Table:
P(x = 0.4) = 0.02275
For 0.63
z = 0.63 - 0.5/0.05
= 2.6
Probability value from Z-Table:
P(x = 0.63) = 0.99534
P(x = 0.63) - P(x = 0.4)
= 0.99534 - 0.02275
= 0.97259
c. The line width of 90% of samples is below what value?
Answer: Ms ruiz is nice tho Ms ruiz ia a great teacher
Step-by-step explanation:
First you divide 440 by 10 to see the amount of miles you can drive on one gallon, which is 44, then multiply by 75 so 44*75= 3300
Your answer is 3300 miles