To find the angle measure, we use a trigonometric formula
For the angle C, we need to relate the angle c and a
c is the opposite hick and a is the adjacent hick.
To relate them, we use
tan(C) = opposite hick / adjacent hick
Which number line represents the solution set for the inequality 2x – 6 ≥ 6(x – 2) + 8?
1 answer:
Answer: x≤ -0.5
Step-by-step explanation: Graph the two lines or solve for x:
2x – 6 ≥ 6(x – 2) + 8
2x – 6 ≥ 6x – 12 + 8
2x – 6 ≥ 6x – 4
-4x ≥ 2
x ≤ -1/2 [Inequality is reversed when multiplying or dividing by a negative number]
The number line is anything less than or equal to - 1/2
Or one can plot each side of the inequality and note the interception point (x = -(1/2)).
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Answer:
13,88,22
On the first evening Jamie received 13 calls.
Step-by-step explanation:
Total number of phone calls received by Jamie over three evenings = 123
Let the number of phone calls received on the third evening = x.
The number of phone calls received on the second evening = 4*x.
The number of phone calls received on the first evening =
Expressing in equation form:
So Jamie received 22 calls on the third evening, 88 calls on the second evening and 13 calls on the third evening.
Answer:
is the probability that the piston chosen from Machine 1 is satisfactory and the piston chosen from Machine 2 is unsatisfactory
Step-by-step explanation:
The two events are independent of each other.
Hence the probability of choosing satisfactory piston from Machine 1 and unsatisfactory piston from Machine 2 is equal probability of choosing satisfactory piston from Machine 1 + probability of choosing unsatisfactory piston from Machine 2
Substituting the given values we get
Probability of choosing satisfactory piston from Machine 1 and unsatisfactory piston from Machine 2 =
=
=