Express the sine of as a ratio of the given side lengths
1 answer:
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Answer:
15
Step-by-step explanation:
For these kind of problems, its best to use a Venn Diagram.
Lets break down the information:
<em>There are 50 students total.</em>
<em>25 take Math competiton classes.</em>
<em>29 take Geometry</em>
<em>12 take history and </em><em><u>no math classes</u></em>
<em>19 take </em><em><u>both math classes</u></em>
Now, make a Venn Diagram.
[Look at the photo attached. Also, the blank spaces in the Venn Diagram are ones that no student takes.]
The 12 taking history and no math classes and 3 kids not taking any of those classes look like they're the only ones not taking either math class.
12 + 3 = 15.
So the answer is 15.
[I'm not sure if this is correct or if I made a mistake so please let me know! Thank you! I hope this helps!]
:)
Answer:
16.2 m
Step-by-step explanation:
First, we can draw a picture. The cable goes from the top of the pole to the ground (with the pole on the right in my drawing), and the point on the ground is 10 m away from the base of the pole. This forms a right triangle, with the right angle being between the 10 m distance and the pole itself. We can then apply the Pythagorean Theorem, so
a²+b²=c², with c being the side opposite the right angle (the cable), getting us
10²+(length of pole)² = 19²
19²-10²=(length of pole)²
= 261
square root both sides to isolate the length of the pole
length of pole ≈ 16.2 m
