Answer:
For the first one it is D.
Step-by-step explanation:
I added 84.6 and 30.4 which gives me 115. I then added 66 to get 181, triangles angles only add up to 180 degrees, therefore they are not similar.
The histogram which shows the results of the time trial is option B
<h3>Histogram</h3>
Given data:
12:32, 12:46, 13:30, 15:03, 13:43, 13:46, 14:20, 14:29, 12:34, 14:43, 15:26, 16:02, 16:16, 14:38, 16:55, 17:10, 14:26, 17:21, 17:58, 13:30
Grouping of data,:
12:00 - 12:59 = 3
13:00 - 13:59 = 4
14:00 - 14:59 = 5
15:00 - 15:59 = 2
16:00 - 16:59 = 3
17:00 - 17:59 = 3
- The frequency is represented on the y-axis(number of cyclist)
- The time is represented on the x-axis
Learn more about histogram:
brainly.com/question/9388601
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Answer:
The answer to your question is Yes.
Step-by-step explanation:
The math in this problem is that we need to use the Pythagorean theorem to solve it. Pythagorean theorem is part of trigonometry a branch of Maths.
Data
base = 9 ft
length = 37 ft
height = ?
Pythagorean theorem
c² = a² + b²
length = c
base = a
height = b
37² = 9² + b²
-Solve for b
b² = 37² - 9²
-Simplify
b² = 1369 - 81
b² = 1288
-Result
b = 35.88
-Conclusion
The ladder will reach a height higher than 35 ft.
Our angle teta is:
teta = 3pi/4
since that is larger than pi/2 but less than pi that means that our angle lies in II quadrant (x negative y positive)
sin(3pi/4) = √2/2
cosine and tangent of that angle must be negative because of position of the angle.
cos(3pi/4) = -√2/2
tan(3pi/4) = -1
