Answer:
I don't know if you wanted it expanded using "Pascal's Triangle" or "Binomial Theorem" but either way is the same. Your expanded equation is:
a^5 + 5a^4b + 10a^3b^2 + 10a^2b^3 + 5ab^4 + b^5
I hope this is any help to you, have a nice day.
Step-by-step explanation:
Answer:
The answer is 150
Step-by-step explanation:
<h2>Question 9:</h2>
1. Use Pythagorean Theorem (a²+b²=c²) to solve for missing side of triangle and rectangle. x²+16²=20², or x²+256=400. So, x²=144, and x=12
2. Use formula: 1/2(h)(b1+b2). 1/2 (12) (30+14).
3. Simplify: 1/2 (12) (44)=1/2(528)=264
Area of whole figure is 264 square mm.
<h2>Question 10:</h2>
Literally same thing but with trigonometry.
1. Use sine to find out length of dotted line: sin(60°)=x/12
2: Simplify: 12*sin(60°)=x. x≈10.4 (rounded to the nearest tenth)
3. Use Pythagorean Theorem to find out last leg of triangle: 10.4²+x²=12²
4: Simplify: 108.16 +x²=144. x²=35.84 ≈ 6
5: Use formula: 1/2(h)(b1+b2). 1/2 (10.4) (30+36)
6: Simplify: 1/2 (10.4) (66) =343.2
7: Area of figure is about 343.2
Remember, this is an approximate answer with rounding, so it might not be what your teacher wants. The best thing to do is do it yourself again.
The value of the given expression is 1/16
<h3>Exponential functions</h3>
Given the exponential function below as shown;
(1/2)^4
This means the product of 1/2 in 4 places. This can be expressed as;
(1/2)^4 = 1/2 * 1/2 * 1/2 *1/2
(1/2)^4 = 1/4 * 1/4
(1/2)^4 =1/16
Hence the value of the given expression is 1/16
Learn more on exponent here: brainly.com/question/725335
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Answer:
.348
Step-by-step explanation:
