Question

A school located due south of a park is 2.6 miles due east of a lake, as shown in the map. Which expression represents the distance between the school and the park?
2.6 cos (40) miles
2.6 tan (40) miles
2.6/tan (40) miles
2.6/ cos (40) miles

Answer 1

Answer:

The answer to your question is   2.6 tan 40  miles    

Step-by-step explanation:

To solve this problem use trigonometric functions

We must look for a trigonometric function that relates the opposite side (distance from the school to the park) and the adjacent side (distance from the lake to the school).

This trigonometric function is tangent

                    tan 40 = $\frac{opposite side}{adjacent side}$

Solve for Opposite side

             Opposite side = Adjacent side tan 40

Substitution

                            dSP = 2.6 tan 40                

Answer 2

A school located due south of a park is 2.6 miles due east of a lake, as shown in the map. Which expression represents the distance between the school and the park?

2.6 tan⁡ (40) miles  

*100% CORRECT ANSWERS

(SEE ATTACHMENTS BELOW)

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Question 1  

Determine the value of X.  

8.69  

Question 2  

Determine the approximate value of θ  

38.7

Question 3  

A school located due south of a park is 2.6 miles due east of a lake, as shown in the map. Which expression represents the distance between the school and the park?

2.6 tan⁡ (40) miles  

Question 4  

Determine the approximate value of x.  

6.736

Question 5  

Determine the approximate measure of angle E.  

109.5

Question 6  

Determine the approximate value of e.  

8.9 cm  

Question 7  

10 / 10 pts  

In the piece-wise function graphed below, which is the correct equation for when − 2 ≤ x ≤ 0  

y = 3 x + 5  

Question 8

The graph below models how one county fines driver's that get a ticket for speeding based on how many miles over the speed limit. Based on the graph, what would the fine be for a person that was ticketed for driving 63 mph in a zone that had a maximum speed of 50 mph?  

$200  

Question 9  

Which data set has the strongest correlation?  

(SEE ATTACHMENTS BELOW)

Question 10

The table displays data for Nutrition Guides of a single serving of particular foods.  

Assuming there exists a correlation between Calories and Fat Grams, find a linear regression model that determines approximate Fat Grams (y) as a function of Calories (x).  

y=0.054x - 2.105