8. Answer: (C) 101.3
<u>Step-by-step explanation:</u>
Use the Law of Cosines:
c² = a² + b² - 2ab·cos C
28.2² = 16.9² + 19.5² - 2(16.9)(19.5)·cos C
795.24 = 285.61 + 380.25 - 659.1 cos C
795.24 = 665.76 - 659.1 cos C
129.38 = - 659.1 cos C
-0.196 = cos C
cos⁻¹ (-0.196) = cos⁻¹ (cos C)
101.3 = C
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10. Answer: (A) 27.9
<u>Step-by-step explanation:</u>
Use the Law of Cosines:
c² = a² + b² - 2ab·cos C
c² = 25² + 18² - 2(25)(18)·cos 79
c² = 625 + 324 - 900 cos 79
c² = 949 - 171.7
c² = 777.3
√c² = √777.3
c = 27.9
- Reducing the fraction 14/21 to its lowest term is 2/3.
- Reducing the fraction 10/12 to its lowest term is 5/6.
- Reducing the fraction 6/16 to its lowest term is 3/8.
<h3>What is a fraction?</h3>
A fraction can be defined as a numerical quantity which isn't expressed as a whole number. This ultimately implies that, a fraction is simply a part of a whole number.
<h3>The parts of a fraction.</h3>
In Mathematics, a fraction comprises two (2) main parts and these include the following:
Next, we would reduce each of the fractions to its lowest term by dividing with a common divisor.
Fraction = 14/21
Dividing by 7, we have:
Fraction = 2/3.
Fraction = 10/12
Dividing by 2, we have:
Fraction = 5/6.
Fraction = 6/16
Dividing by 2, we have:
Fraction = 3/8.
Read more on fractions here: brainly.com/question/368260
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25.5/0.05 = 25 1/2 : 5/100
= 51/2 : 5/100
= 51/2 x 100/5
= 5100/10 = 510
Answer:
This would be <em>length = 4</em> and <em>width = 4</em>
Step-by-step explanation:
This is because to find the area of a rectangle its length x width.
So the two numbers that multiply to 16 is 4 and 4.
If you have any questions feel free to ask in the comments - Mark
ALSO Happy Valentines Day ❤️
Answer:
5
Step-by-step explanation:
<u>P</u>arenthesis
<u>E</u>xponents
<u>M</u>ultiplication
<u>D</u>ivision
<u>A</u>ddition
<u>S</u>ubtraction
<em><u>Following the order, first is parenthesis:</u></em>
3 · 5 - 2(5)
<em><u>Multiplication:</u></em>
15 - 10
5