Help Please this is Study Island sorry for camera quality its asking what is the length of the red segment line. The numbers are
-2 -1 0 1 2 3
1 answer:
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Answer:
Approximately 54.54% of race happened in the first week.
Step-by-step explanation:
We are given the following in the question:
Length of bike race in three weeks = 2,200 miles
Race covered in first week = 1,200 miles
Percentage of race covered in first week =
Thus, approximately 54.54% of race happened in the first week.
Answer:
24 inches
Step-by-step explanation:
A triangle is a polygon with three sides and three angles. The types of triangles are scalene triangle, equilateral triangle, right angled triangle and obtuse triangle.
Sine rule states that given a triangle with sides a, b, c and their corresponding angles opposite to the sides as A, B, C. Then:
In triangle LMN:
We can find the length of l using sine rule:
Answer:
The surveyor is 36.076 kilometers far from her camp and her bearing is 16.840° (standard form).
Step-by-step explanation:
The final position of the surveyor is represented by the following vectorial sum:
(1)
And this formula is expanded by definition of vectors in rectangular and polar form:
(1b)
Where:
- Resulting coordinates of the final position of the surveyor with respect to origin, in kilometers.
- Length of each vector, in kilometers.
- Bearing of each vector in standard position, in sexagesimal degrees.
If we know that ,
,
and
, then the resulting coordinates of the final position of the surveyor is:
According to this, the resulting vector is locating in the first quadrant. The bearing of the vector is determined by the following definition:
And the distance from the camp is calculated by the Pythagorean Theorem:
The surveyor is 36.076 kilometers far from her camp and her bearing is 16.840° (standard form).