Answer:
7) 
8) 
Step-by-step explanation:
You must use the laws of exponents.
7)

When you raise a fraction to an exponent, raise the numerator and the denominator to that exponent.

When you raise a product to an exponent, raise each factor to that exponent.
When you raise an exponent to an exponent, multiply the exponents.


8)

To divide powers with the same base, subtract the exponents. Remember that a plain variable, such as w is the same as w^1.


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Answer:
Part I : 100°
Part II : a = 29.2
Part III : b = 20.95
Step-by-step explanation:
See the attached diagram of the triangle.
Part I: ∠ A = 180° - ∠ B - ∠ C = 180° - 45° - 35° = 100°
Part II: Now, applying the law of sines, we have
⇒
⇒
⇒ a = 29.2 (Answer)
Part III: Now, applying law of cosine, we have
b = a cos 35° + c cos 100° = 29.2 cos 35° + 17 cos 100° = 20.95 (Answer)
The answer is b why because I had did it on the test and I had got it right HOPEFULLY IT HELPS
Answer:
<h3><u>34 Ft.²</u></h3>
Explanation:
Area = width · length
<em>The length of the rug is 9 feet. We need to find the width.</em>
72 ÷ 9 = 8
<em>Check to see if this is correct: width (8) · length (9) = area (72)</em>
<em>Now add the length and width together two times since a rug has 4 sides</em>
8 + 8 + 9 + 9 = 34
The perimeter of the rug is 34 ft.²