Answer:
x=12
Step-by-step explanation:
x^9=12^9
power of 9 cancel eachother at both sides of equation.
so
x=12
The answer is 65 degrees because a triangle is 180 degrees in total so if you add 53 and 63 you get 115 and subtract 180-115=65
In a Geometric Sequence,<span> each term is found by </span>multiplying<span> the previous term by a </span>constant<span>. For this case, the constant is 4. To find the sum of the geometric sequence with 8 terms, we use the formula as follows:
</span>∑(ar^k) = a ( 1-r^n) / (1-r)
<span>
where a is the first term, r is the constant, n is the number of terms
</span>∑(ar^k) = 4 ( 1-4^8) / (1-4)
∑(ar^k) = 87380
Answer:
He volunteered 10 hrs 15 min on average.
Step-by-step explanation:
The first week: 8 hrs
The second week: 12 hrs
The third week: 12 hrs
The fourth week: 9 hrs
8 + 12 + 12 + 9 = 41 hrs total
41 hours/4 weeks = 10.25 hrs (10 hrs 15 min)
Answer:
C. (8.5, 14.72)
Step-by-step explanation:
You can translate the coordinates using ...
(x, y) = (r·cos(θ), r·sin(θ))
Filling in the given polar coordinates, (r, θ) = (17, 60°), we have ...
(x, y) = (17·cos(60°), 17·sin(60°)
(x, y) = (8.5, 14.72)
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If you sketch the vector, you realize that the short side of the triangle (the x-coordinate) is half the length of the hypotenuse (17). This is because you recognize the side-length relationships in a 30°-60°-90° triangle. Only one answer choice shows that value.
