To construct a triangle, the sum of any 2 sides of the triangle should be greater than the third side of the triangle.
lets calculate the sums of all the given choices to find out which three lengths given do not form a triangle.
A.
6,10,18
6 + 10 = 16
16 is smaller than the third side-18
Therefore these 3 lengths do not form a triangle
B.10,12,15
10 + 12 = 22 15+12 = 27 15 + 10 = 25
22>15 (3rd side) 27>10 (3rd side) 25>12 (3rd side)
In this triangle, sum of all the possible pairs of sides are greater than the third side therefore these lengths can form a triangle
C.10,15,6
10 + 15 = 25 15 + 6 = 21 10+6 = 16
25 > 6 21>10 16>15
in this too, sum of all the possible pairs of sides are greater than the third side. These lengths can be used to form a triangle
D.10,18 ,12
10 + 18 = 28 18 + 12 = 30 10 +12 = 22
28> 12 30>10 22> 18
Therefore these lengths can also be used to form a triangle
correct answer is 6,10 and 18 these cannot form a triangle
Answer:
0 1 2 3
Step-by-step explanation:
Since n is an integer
We have n = { 0 1 2 3 }
Answer:
There is enough evidence at the 1% level of significance to suggest that the mean stopping distance of the truck is greater than 30
Step-by-step explanation:
We will conduct a hypothesis test for the mean. We will compare the mean stopping distance of the truck to the maximum distance of 30 and see if there is any significant difference.
We first need to find the mean and standard deviation of the stopping distance of the sample. See the first attached photo for the calculations of these values..
We get a sample mean of: 31.2333
and a sample standard deviation of: 0.2813
We will use these to conduct a hypothesis test. See the calculations for the test on the second attached photo
The commission on the sales will be $118.2.
<h3>What is the percentage?</h3>
The Percentage is defined as representing any number with respect to the 100. It is denoted by the sign %.
Given that:-
Elijah Henson sold $1,576 worth of merchandise. his commission rate is 7 1/2%
The commission amount will be:-
7.5 % of $1576 will be calculated as:-
Commission = 1576 x 0.075
Commission = $118.2
Therefore the commission on the sales will be $118.2.
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-10.35°
Add each temperature and then divide by four to find the average.
-12.1 -7.8 - 14.3 -7.2 = -41.4
-41.4 ÷ 4 = -10.35