Answer:
see the attachments for the two solutions
Step-by-step explanation:
When the given angle is opposite the shorter of the given sides, there will generally be two solutions. The exception is the case where the triangle is a right triangle (the ratio of the given sides is equal to the sine of the given angle). If the given angle is opposite the longer of the given sides, there is only one solution.
When a side and its opposite angle are given, as here, the law of sines can be used to solve the triangle(s). When the given angle is included between two given sides, the law of cosines can be used to solve the (one) triangle.
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Here, the law of sines can be used to solve the triangle:
A = arcsin(a/c·sin(C)) = arcsin(25/24·sin(70°)) = 78.19° or 101.81°
B = 180° -70° -A = 31.81° or 8.19°
b = 24·sin(B)/sin(70°) = 13.46 or 3.64
Answer:
Felix's third test score must be greater than 94
Step-by-step explanation:
Felix scores on Sociology 212 tests:
1st test - 52
2nd test - 64
3rd test - x
Find the average of Felix's scores:
An average of the three test must be above 70, this means
Solve this inequality. First, multiply it by 3:
Answer:
Step-by-step explanation:
Given the following question:
Point A = (4, 8) = (x1, y1)
Point B = (-3, 5) = (x2, y2)
In order to find the slope any two points given we use the formula to find slope or rise/run.
The reason why the students answer is incorrect because he substituted incorrectly. More specifically the run part of the formula for slope. The formula for slope goes x2 - x1 which means it should be -3 - 4, not -4 - 3, which will give you the answer -7.
Hope this helps.
Answer:
C-true
Step-by-step explanation:
A-false
B-false
C-true
D-false
used substitution
