Answer:
1. 7
2. 4
3. -12
4. 5
5. -1
6. -1
7. -7
8. 4
hope this helped :-)
Step-by-step explanation:
If they have the same numerator and denominator for example 4/4 and 2/2 are equivalent because you could divide 4/4 to get 2/2 or multiply 2/2 to get 4/4
1. The domain of the sequence shown is {1, 2, 3, 4, 5}. This is best matched by the description Natural numbers.
2. The common ratio is 3/1 = 9/3 = 3.
3. The first term of this geometric sequence is 1. The common ratio is 3. So, the explicit formula is f(x) = 1(3)^(x-1)
Ok <span>One side would have a length of 4, another side would have a length of 5, and then we can use the Pythagorean Theorem to find the length of the hypotenuse. a^2 + b^2 = c^2 </span>
<span>a=4; b=5; </span>
<span>4^2 + 5^2 = c^2 </span>
<span>16 + 25 = c^2 </span>
<span>41 = c^2 </span>
<span>c = √41 </span>
<span>Therefore, the hypotenuse has a length of √41. </span>
<span>To find the sinθ, you take the opposite over the hypotenuse. </span>
<span>Remember when you drew out the triangle? θ is the angle connected to the origin. The opposite side is b, which is 5. </span>
<span>Your answer is 5/√41. </span>
<span>This answer must be simplified since there is a radical in the denominator. To simplify, you can just multiply the numerator and the denominator by √41/√41 (since this is equivalent to 1). </span>
<span>This gives you the answer
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