Liliana has 3/5 of a bag of skittles. She wants to split it evenly on 2/3 of the desk. How many skittles will she have on each d
1 answer:
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Answer:
1) B = 66.5° c = 10.9
Step-by-step explanation:
I will do question one as an example. In general, for these questions you want to use the appropriate trigonometric ratios to solve for the variables and/or apply logic using rules regarding triangles. See attached image for all solving steps.
For side c, we can use Cosine of angle A for a ratio between 10 and c. When we write out the equation, we can solve for side c. So when we write it out, we get the equation:
cos23.5 = ¹⁰⁄c
c = ¹⁰⁄cos₂₃.₅
c = 10.9044 (make sure to round to the nearest tenth, which is one decimal place)
For angle B, since they have given two angles, you can solve for B since all angles of a triangle add up to 180 degrees.
So b = 180 - (90 + 23.5) = 180 - 113.5
b = 66.5
- It is also possible to solve this using sine of angle B and solve it from there, but applying the theory this way is much simpler. (this is on the image if you're curious about it)
I hope this helps you with the other 3 questions.
Answer: The perimeter is 17.52
Step-by-step explanation:
1. You can plot the points, as you can see in the graph attached.
2. As you can see in the graph, the points are:
And the lenghts <em>AB</em> and <em>EA</em> are:
3. To find the other lenghts, you can apply the formula for calculate the distance between two points:
4. Thefore, you have:
5. The perimeter is:
