Answer:
<_
Step-by-step explanation:
not a clue if this is correct........
The given inequality is:
This inequality can be divided in two parts as:
a)
b)
Solving part a:
Solving part b:
Therefore, the solution to the given inequality is
and
. Combining both the ranges we get the solution:
.
In interval notation, this solution can be expressed as [1,5]
Given:
1 - 50 written in red marker
51 - 100 written in blue marker
Probability of selecting a number greater than 81; 100 - 81 = 19 possible numbers. 1 draw. 1/19
Probability of selecting a number written in red: 1/50
Probability of selecting a number written in blue: 1/50
Probability of selecting a number that is a multiple of 10. There are 10 instances; 10, 20, 30, 40, 50, 60, 70, 80, 90, 100 ; 1/10
Answer:
It is an acute triangle.
Step-by-step explanation:
It would be much easier for you to see where I'm getting at if you draw a diagram.
Assume this triangle is labelled ABC where a = 14, b = 21, and c = 16.
cos A = (16^2 + 21^2 - 14^2)/(2(16)(21))
∠A = cos^-1(0.82291...)
∠A ≅ 34.6°
cos B = 16^2 + 14^2 - 21^2)/(2(16)(14))
∠B = cos^-1(0.024...)
∠B ≅ 56.8°
∠C = 180 - (∠A + ∠B)
∠C ≅ 56.8°
Since there is no right-angle nor is there an obtuse angle,
Therefore the triangle is an acute triangle.
Answer: X=42
Step-by-step explanation:
42/-6=-7
-7=-7
