Answer:
m∠Q ≈ 53°
Step-by-step explanation:
To find the measure of ∠Q, the law of cosines will need to be used. Lowercase letters represent the side lengths, while upper case letters represent angles.
In this situation, 'A' will be ∠Q. Therefore:
17² = 18² + 20² -2(18)(20)cosQ
Simplify:
289 = 324 + 400 -2(360)cosQ
Continue simplifying down:
-435 = -720cosQ
Divide both sides by '-720':
0.604 = cosQ
m∠Q ≈ 52.83 or 53° rounded to the nearest whole degree.
Answer:
Step-by-step explanation:
3x - 10 = 2x + 30
x - 10 = 30
x = 40
Answer:
2(x+4)/(x+3)(x-4)(x+4) and 1(x+3)/(x+3)(x-4)(x+4)
Step-by-step explanation:
Factor x^2-x-12: (x+3)(x-4)
Factor x^2-16: (x+4)(x-4)
So, LCD would be (x+3)(x-4)(x+4)
Rewritten: 2(x+4)/(x+3)(x-4)(x+4) and 1(x+3)/(x+3)(x-4)(x+4)
I hope this helped and have a good rest of your day!
<span>calcium hydride + water → calcium hydroxide + hydrogen</span>
Based on quantitative reasoning, Alden should take the classes from Dr. Baeno in his next semester.
Quantitative Reasoning Behind Choosing Dr. Baeno
Alden talked to 17 friends that previously took course from Dr. Alvarez.
Eight out of 17 friends recommended Dr. Alvarez.
∴ The fraction of his friends in favor of Dr. Alvarez = 8/17
Also, Alden talked to 18 friends who took course from Dr. Baeno.
Eleven out of 18 friends recommended Dr. Baeno.
∴ The fraction of his friends in favor of Dr. Baeno = 11/18
Making Comparison
Now, since we know that,
11/18 > 8/17
The capacity for using knowledge and mathematics to address problems in the real world is known as quantitative reasoning.
Hence, applying quantitative reasoning, we can infer that it is more favorable for Alden to take classes from Dr. Baeno.
Learn more about quantitative reasoning here:
brainly.com/question/15566375
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