Answer:
35.09
Step-by-step explanation:
From the question given above, the following data were:
Opposite = 12
Hypothenus = X
Angle θ = 20 °
The value of x can be obtained by using sine ratio as illustrated below:
Sine θ = Opposite / Hypothenus
Sine 20 = 12 / X
0.342 = 12 / X
Cross multiply
0.342 × X = 12
Divide both side by 0.342
X = 12 / 0.342
X = 35.09
Thus, the value of X is 35.09
<span>1) if 2 times the wind speed is increased by 2, the wind speed is still less
than 46 km/h.
=> 2x + 2 < 46
2) Twice the wind speed minus 27 is greater than 11 km/h.
=> 2x - 27 > 11
Part A: Create a compound inequality to represent the wind speed range.
(3 points)
from 2x + 2 < 46
=> 2x < 44
=> x < 22
from 2x - 27 > 11
=> 2x > 11 + 27
=> 2x > 38
=> x > 19
The set of inequalities is
2x + 2 <46
2x - 27 > 11
The solution is x < 22 and x > 19, which is:
19 < x < 22 <----- answer
Part B: Can the wind speed in this town be 20 km/h? Justify
your answer by solving the inequalities in Part A. (3 points)
Yes, the wind speed can be 20 km/h, because the solution of the inequality is the range (19,22).
Part C:
The average wind speed in another town is 23 km/h, but the actual wind
speed is within 4 km/h of the average. Write and solve an inequality to
find the range of wind speed in this town.
x ≥ 23 - 4 => x ≥ 19
x ≤ 23 + 4=> x ≤ 27
=> 19 ≤ x ≤ 27
=> [19,27]
</span>
Answer: A) 35
Step-by-step explanation:
We have the following:
Now, is made up of two factors, and :
So, we have to choose a number for x containing a factor of and or . In this case, the best option is :
Hence:
Finally:
A is proton b is electron and c is neutron
Answer:
Fiona is correct
Step-by-step explanation:
Substitute x = 5 and x = - 5 into the left side of the equation and if equal to the right side then it is a solution of the equation.
x = 5 : 5² + 3(5) - 10 = 25 + 15 - 10 = 30 ≠ 0 ← not a solution
x = - 5 : ( - 5)² + 3(- 5) - 10 = 25 - 15 - 10 = 0 ← correct
Then Fiona is correct with x = - 5 being the solution