Answer:
Yes, the sum of any two sides is greater than the third.
Step-by-step explanation:
To determine whether the provided sides are the sides of a triangle check if the sum of two sides is more than the third side.
The length provided are: 8.5, 13 and 19.1.
- Consider the sides 8.5 and 13:
The sum is:
This sum is greater than the third side 19.1
- Consider the sides 8.5 and 19.1:
The sum is:
This sum is greater than the third side 13
- Consider the sides 13 and 19.1:
The sum is:
This sum is greater than the third side 8.5
Thus, the sides 8.5, 13 and 19.1 are sides of a triangle.
Here, the <em>standard deviation </em>is the best measure of the spread of a data set. The higher the standard deviation, the more spread out the distribution is. In this case, the distribution with the highest standard deviation (and therefore the greatest spread) is Distribution 3. Its low mean might be deceptive, but the value of a data set's mean has no effect on its spread.
Answer:
The diameter of the pond is 38 m.
The radius of the pond is 19 m.
The area of the pond is 361 m^2.
Step-by-step explanation:
We know that the circumference C of a circle is equal to
In this case, C is equal to 120 m.
The diameter is then:
Rounded to the nearest whole number, the diameter is D=38 metres.
The radius is equal to half the diameter, so the radius of this pond is R=19 metres.
The area can be calculated from the radius as:
The area is 361 m^2
Answer:
Option C
Step-by-step explanation:
Given inequality is,
5x + 38 ≤ 4(2 - 5x)
5x + 38 ≤ 8 - 20x [Distributive property]
5x + 20x + 38 ≤ 8 - 20x + 20x [By adding 20x on both the sides of the inequality]
25x + 38 ≤ 8
(25x + 38) - 38 ≤ 8 - 38 [By subtracting 38 on both the sides of the inequality]
25x ≤ -30
[Dividing by 25 on both the sides of the inequality]
x ≤ 1.2
Therefore, Option (C) will be the correct graph.
Answer:
-7
Step-by-step explanation:
