Answer:
c ≈ 6.08 m
Step-by-step explanation:
Your question is how to solve for a missing side length of a triangle when given 2 sides length and an angle. The side length can be solved using the cosine rule . We use cosine rule to find the length of a side of a triangle when given two sides and an included angle.
The cosine rule formula for finding a side length are as follows
c² = a² + b² - 2ab cosC
b² = a² + c² - 2ac cosB
c² = a² + b² - 2ab cosC
Using cosine rule
c² = 4² + 3² - 2 × 4 × 3 cos 120°
c² = 16 + 9 - 24 cos 120°
c² = 25 - 24 (-0.5)
c² = 25 + 12
c² = 37
square root both sides
c = √37
c = 6.0827625303
c ≈ 6.08 m
Answer:
See Explanation
Step-by-step explanation:
(a) Proof: Product of two rational numbers
Using direct proofs.
Let the two rational numbers be A and B.
Such that:


The product:




Proved, because 1/3 is rational
(b) Proof: Quotient of a rational number and a non-zero rational number
Using direct proofs.
Let the two rational numbers be A and B.
Such that:


The quotient:

Express as product



Proved, because 3/4 is rational
(c) x + y is rational (missing from the question)
Using direct proofs.
Let x and y be
Such that:


The sum:

Take LCM


Proved, because 7/6 is rational
<em>The above proof works for all values of A, B, x and y; as long as they are rational values</em>
The upper quartile for the data set given below is. 14, 8, 23, 9, 11, 27, 22, 3, 17, 12, 29
LekaFEV [45]
Ok, first we need to organize.
<span>14, 8, 23, 9, 11, 27, 22, 3, 17, 12, 29
</span>3, 8, 9, 11, 12, 14, 17, 22, 23, 27, 29.
First, we need to find the median, the or the middle, which is 14.
Now that we know the median is fourteen, we take away all numbers to the left of 14, including 14: 17, 22, 23, 27, 29. Now just find the median in this new set of numbers. This will give us our upper quartile, which is 23. Hope this helped, and don't forget to drop a like.
Answer:
18 miles per gallon
90/5=18
Step-by-step explanation:
Answer:
Step-by-step explanation: