Answer:
The answer is 1.4 miles ⇒ answer (d)
Step-by-step explanation:
* Let the balloon is at the vertex A, and the soccer fields
at vertex B and the football field at vertex C
∴ m∠B = 20° 15' = 20.25°
∴ m∠C = 62° 30' = 62.5°
∴ m∠A = 180 - 20.25 - 62.5 = 97.25°
∵ BC = 4 miles
* By using the sin Rule:
∵ AC/sin(B) = BC/sin(A)
∴ AC = (BC)(sinB)/sin(A)
∴ AC = [4 × sin(20.25)] ÷ sin(97.25) = 1.395 ≅ 1.4 miles
∴ The distance from the balloon to the football filed = 1.4 miles
The value of the set operation A U ∅ is {3, 4, 5, 6}
<h3>How to evaluate the set operation?</h3>
The elements of the sets are given as:
U = {1, 2, 3, 4, 5, 6}
A = {3, 4, 5, 6}
To calculate the set A U ∅, we use the following illustration
A U ∅ = set A combined with an empty set
This gives
A U ∅ = {3, 4, 5, 6} combined with an empty set
This gives
A U ∅ = {3, 4, 5, 6}
Hence, the value of the set operation A U ∅ is {3, 4, 5, 6}
Read more about sets at:
brainly.com/question/2166579
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Answer:
I and II.
Step-by-step explanation:
Dot plots are charts that<em> represent data points on a simple scale using filled circles</em>. Stemplots allow <em>plotting data by dividing it into stems (largest digit) and leaves (smallest digits)</em>. Both dot plots and stemplots are like histograms since they allow to compare data relating to only one variable, and are used for continuous, quantitive data, highlighting gaps, clusters, and outliers.
Histograms <em>use bars to represents amounts, with no space between the bars and </em>the height of the bars is proportional to the frequency or relative frequency of the represented amount. <u>We refer to the relative frequency of a case when this frequency is divided by the sum of all frequencies of the cases</u>. The proportionality between the height of the bar and the frequency is right when the width (interval) of the bar is the same for everyone, on the contrary, the area of the bar would be proportional to the frequency of cases.
Therefore, of all the above, the correct statements are I and II. Statement III is incorrect because relative <em>heights </em>are proportional to relative <em>frequencies</em>.
I hope it helps you!
Answer:
the value of 
such that there is no solution to the equation is 
.
Step-by-step explanation:
Let first simplify the expression presented on statement. The equation has no solution if and only if is eliminated in the process and an absurd is the result (i.e. 
).
To obtain an absurd, we need that 
. Hence, the value of such that there is no solution to the equation is:
Let prove the certainty of the result. We find that an absurd exist: ()
