Answer:
Simplifying then comparing both terms
−5 and −3, −5 is less than −3, which means that the first term is less than the second term. −5 < −3
Step-by-step explanation:
Hope this helps have a good day^^
Answer:
Angle z makes a 180° angle when added to the angle of 124° in the first image, because they are on the same side of a straight line. Just subtract 124 from 180. =56 For the second picture, angle m will be the same as angle z because of the properties involved.
Step-by-step explanation:
Answer:
21.759
Step-by-step explanation:
Given that :
Mean (m) = 25
Standard deviation (s) = 12.5
Sample size (n) = 40
α = 90%
The confidence interval is obtained using the relation:
Mean ± Zcritical * s/sqrt(n)
Zcritical at 90% confidence interval = 1.64
25 ± 1.64 * (12.5/sqrt(40))
Lower boundary : 25 - 1.64(1.9764235) = 21.75866546
Upper boundary : 25 + 1.64(1.9764235) = 28.24133454
(21.759, 28.241)
Hence, lower bound of confidence interval is : 21.759
9514 1404 393
Answer:
10,466.7 in^3
Step-by-step explanation:
The volume of a cone is given by ...
V = (1/3)πr^2·h
where r is the radius and h is the height. Using your numbers, we have ...
V = (1/3)(3.14)(20 in)^2·(25 in) = 10,466.7 in^3
_____
A more accurate value of π will give a different result.
Answer:
Step-by-step explanation:
Given: The triangle with coordinate A(4,6), B(2,-2) and C(-2,-4). D is the mid point of AB and E is the mid point of AC.
To prove: DE is parallel to BC.
Construction: Join DE.
Proof: If we prove the basic proportionality theorem that is 
, then it proves that DE is parallel to BC.
Now, Mid Point D has coordinates=
and Mid Point E has coordinates=
Now, AD= 
DB=
AE=
EC=
Now,
=
Hence,
Thus, By basic proportionality theorem, DE is parallel to BC.
