<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: 5
Step-by-step explanation:
8-2b=-2
8-2b-8=-2-8
-2b=-10
-2b/-2=-10/-2
b=5
Answer:
speeds of Juan and Tiauna are 0.1984 m/s and 0.1851 m/s respectively
Step-by-step explanation:
Given: Juan's time in the race was 5.04 seconds and Tiauna's was 5.40 seconds
Let speed of Juan and Tiana's be J m/s and T m/s respectively
In the race both Juan and Tiauna will cover equal distance. Therefore, the speed and time would have reciprocal relationship
Speed ∝ 1/Time
This means J = 1/5.04 m/s
J= 0.1984 m/
and, T = 1/5.40 m/s
T= 0.1851 m/s
Therefore, speeds of Juan and Tiauna are 0.1984 m/s and 0.1851 m/s respectively
Answer: The sample size would be needed = 385
Step-by-step explanation:
Let p be the prior population proportion.
Margin of error = E
When not estimate of p is given , the formula to calculate the minimum sample size <em>n</em> = 
, where z* = critical value for given confidence interval.
Here z* for 95% confidence level is 1.96.
E=5%=0.05
Then 
Hence, the sample size would be needed = 385
