Answer:
missing side: 133 cm
Explanation:
Provided <u>2 length sides</u> and <u>one angle</u> also need to find <u>one missing side</u>.
So, use cosine rule:
⇒ a² = b² + c² - 2bc cos(A)
<u>Insert values</u>
⇒ g² = 166² + 147² - 2(166)(147) cos(50)
⇒ g² = 17794.3935
⇒ g = √17794.3935
⇒ g = 133.3956
⇒ g = 133 (rounded to nearest whole number)
Answer: the width of the uniform path is 9 meters.
Step-by-step explanation:
Let x represent the width of the uniform path.
A pool measuring 18 meters by 22 meters is surrounded by a path of uniform width. It means that the combined length of the pool and the uniform path is (18 + 2x) meters and the combined width of the pool and the uniform path is (22 + 2x) meters.
If the area of the pool and the path combined is 1440 square meters, it means that
(18 + 2x)(22 + 2x) = 1440
396 + 36x + 44x + 4x² = 1440
4x² + 80x + 396 - 1440 = 0
4x² + 80x - 1044 = 0
Dividing both sides of the equation by 4, it becomes
x² + 20x - 261 = 0
x² + 29x - 9x - 261 = 0
x(x + 29) - 9(x + 29) = 0
x - 9 = 0 or x + 29 = 0
x = 9 or x = 29
Since the width cannot be negative, then x = 9 meters
Answer:
x = 17 degrees
Complementary Angle
Step-by-step explanation:
x is a complementary angle, this means that when you add it's angle with another angle, the sum would be 90 degrees
To figure out what x is, subtract 73 from 90:
90 - 73
which gives you 17
therefore, x = 17
The meaning of the constant is the average temperature at the equator statement (A) is correct.
<h3>What is the line of best fit?</h3>
A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.
We have a line of best fit for the data:
y = 90 - z
Here, x is measured in degrees of latitude and y is measured in degrees of Fahrenheit.
When z = 0
y = 90
Which shows the average temperature at the equator.
Thus, the meaning of the constant is the average temperature at the equator statement (A) is correct.
Learn more about the line of best fit here:
brainly.com/question/14279419
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Answer: The answer should be X=10
Step-by-step explanation: Trust me I actually know what I'm talking about.