Answer: OPTION A.
Step-by-step explanation:
First you must calculate the lenght of the side DF by applying the Pythagorean theorem, as following:

Now you can find sin(E) as you can see below:

Where:

Then:


The answer is C) y=-5/2x-3
Answer: an average of 13.5 mph is very respectable
Step-by-step explanation:
<h3>
Answer: Choice C) 2 - 6 + 18 - 54 + ...</h3>
Explanation:
The three dots or ellipses indicate the pattern goes on forever to infinity. So the answer is between choices A and C based on this alone. Choice A is a sequence while choice C is a series. A sequence is simply a list of values often in some kind of mathematical pattern. A series is where you add values from a sequence together. This distinction rules out choice A and makes choice C the answer.
Note: choice C is a geometric series with first term 2 and common ratio -3. The infinite series diverges because r = -3 is outside the range -1 < r < 1.
Answer:
3/10 is orange juice.
Step-by-step explanation:
Step 1: Find the total mL in the concoction
15 + 25 + 10 = 50 mL in a fruit cocktail
Step 2: Find the proportion of orange juice in 1 serving (50 mL) of cocktail
15/50 = 3/10