Answer:
x ≈ 25.4 Km
Step-by-step explanation:
Using the tangent ratio in the right triangle on the right
tan54° = 
= 
( multiply both sides by 17 )
17 × tan54° = opp , thus
opp ≈ 23.4
-------------------------------------------
Using the cosine ratio in the right triangle on the left
cos23° = 
= 
( multiply both sides by x )
x × cos23° = 23.4 ( divide both sides by cos23° )
x = 
≈ 25. 4 Km ( to the nearest tenth )
Answer:
Step-by-step explanation:
Given:
To find:
- Summation notation of the given series
Summation Notation:
Where n is the number of terms and 
is general term.
First, determine what kind of series it is, there are two main series that everyone should know:
A series that has common difference.
A series that has common ratio.
If you notice and keep subtracting the next term with previous term:
Two common difference, we can in fact say that the series is arithmetic one. Since we know the type of series, we have to find the number of terms.
Now that brings us to arithmetic sequence, we know that first term is 5 and last term is 251, we’ll be finding both general term and number of term using arithmetic sequence:
<u>Arithmetic Sequence</u>
Where 
is the nth term, 
is the first term and 
is the common difference:
So for our general term:
And for number of terms, substitute = 251 and solve for n:
Now we can convert the series to summation notation as given the formula above, substitute as we get:
Answer:
the answer is D. 5.6
Step-by-step explanation:
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Answer:
d. linear; $25/hour
Step-by-step explanation:
From looking at the graph, we have that renting for 2 hours costs $50, for 4 hours costs $100, for 6 hours costs $150, and for 8 hours costs $200. To find out whether the quantities described in the table are linear, we have to see if there is a constant rate of change of price.
For hour 2 to hour 4, we can see that the price increases by $50. This is the same for hour 4 to hour 6 and hour 6 to hour 8. For every 2 hour time interval, the price increases by $50. Therefore, there is a constant rate of change and the quantities described in the table are linear.
Now we have to find the constant rate of change per hour. We know that the price increases by $50 every 2 hours, so, by dividing both the hours and price increase by 2, the price increases by $25 per hour. So the constant rate of change is $25/hour.
Linear. $25/hour
Answer choice d.
I hope you find my answer and explanation to be helpful. Happy studying.
Answer:23
Step-by-step explanation:
10+3=13 so that means that mary has 13 and isabella has 10
Then if you add 13+10=23
so they have 23 jolly ranchers in all.
