Answer:
b. 5tan(25°)
Step-by-step explanation:
The tangent function gives the ratio between the side opposite and the side adjacent to the angle. That is ...
tan(25°) = ?/5
Multiplying by 5 solves the equation:
? = 5·tan(25°)
Answer:
y=-9
Step-by-step explanation:
-3(y+2)=21
1st Open parenthesis
-3y-6=21
+6 +6
-3y=27
/-3 /-3
y=-9
Answer:
The ratio of a circle's circumference to its diameter
In other words: all the way around a circle divided by all the way across it.
The symbol is π (pi)
No matter how large or small the circle, its circumference is always π times its diameter.
π = 3.14159265358979323846... (the digits go on forever without repeating)
A rough approximation is 22/7 (=3.1428571...), but that is not accurate.
Step-by-step explanation:
Step-by-step explanation:
the union of two sets is a new sets that contains all of the elements that are in at least one or two sets and written as (A U B)
while intersection of two sets is a new set that contains all of the elements in both sets and written as (A n B)
<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]
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