Which statement is true?
2 answers:
Answer:
C.
In a regular hexagon, the length of the radius is the same as the length of a side.
Step-by-step explanation:
A regular polygon is the polygon which have equal sides. Any regular polygon can be considered as a arrangement of the same number of equilateral triangles ad the number of sides.
For example, a regular hexagon ( 6 sized polygon) is made of the 6 equilateral triangles as shown in the image below.
Thus, the radius (which is the distance of the center of the polygon to any corner of it) is equal to the length of a regular polygon as it is composed of equilateral triangles.
So, option C is correct.
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It is 30-60-90 triangle, so:
Answer B.
Answer B.
Answer:
D:Spring A is 3 m longer than spring B because 15 – 12 = 3.
Step-by-step explanation:
In this question, you should remember the Hooke's Law in physics.
The Hooke's Law simply explains that the extension that occurs on a spring is directly proportional to the load applied on it.
The mathematical expression for this law is
where;
F= force applied on the spring
x = the extension on the spring
k= the spring constant which varies in spring.
The question will need you to calculate the extension on the springs A and B then compare the values obtained.
<u>In spring A</u>
Force, F=60N and spring constant ,k=4 N/m
To find the extension x apply the expression;
Here the spring extension is 15 m
<u>In spring B</u>
Force, F=60N and spring constant , k=5N/m
To find the extension x apply the same expression
Here the extension on the spring is 12 m
<u>Compare</u>
The extension on spring A is 3 m longer than that in spring B because when you subtract the value of spring B from that in spring A you get 3m