In art class, Kim is mixing paint. The paint mixture is 3 parts yellow and 5 parts blue. What percent of the paint is yellow? Qu
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:
Option A
10.5 m²
Step-by-step explanation:
The area of a triangle is half the product of its base by its height.
Where b is the base and h is the height.
In this triangle b = 6.1 m.
The height of this triangle is a line perpendicular to its base that goes to the vertex opposite the base.
We do not know this length. But this line h divides the triangle into two rectangular triangles.
So for these two triangles the angle that is opposite to the height h is: 47 °
Therefore we know that senx is defined as:
Where:
Opposite side = h
hypotenuse = 4.7 m
x = 47
Finally, the area is: