Maddi wants to build a basket with a length of 2 feet, a width of
2 answers:
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Answer:
16. Angle C is approximately 13.0 degrees.
17. The length of segment BC is approximately 45.0.
18. Angle B is approximately 26.0 degrees.
15. The length of segment DF "e" is approximately 12.9.
Step-by-step explanation:
<h3>16</h3>By the law of sine, the sine of interior angles of a triangle are proportional to the length of the side opposite to that angle.
For triangle ABC:
,
- The opposite side of angle A
,
- The angle C is to be found, and
- The length of the side opposite to angle C
.
.
.
.
Note that the inverse sine function here is also known as arcsin.
By the law of cosine,
,
where
,
, and
are the lengths of sides of triangle ABC, and
is the cosine of angle C.
For triangle ABC:
,
,
- The length of
- The cosine of angle A is
.
Therefore, replace C in the equation with A, and the law of cosine will become:
.
.
For triangle ABC:
,
,
, and
- Angle B is to be found.
Start by finding the cosine of angle B. Apply the law of cosine.
.
.
.
For triangle DEF:
- The length of segment DF is to be found,
- The length of segment EF is 9,
- The sine of angle E is
, and
- The sine of angle D is
.
Apply the law of sine:
.
Looking at the image attached, we can see the assumed sales of the Chewy Candy Company for its new candy bar in Manila and Seoul. Setting up the given condition for separate branches, we clearly see that during the 6th month, the total sales in Manila first exceeded the cumulative total sales in Seoul.
