A triangular brace has an angle measure of 30 degrees, with a side opposite this angle measuring 8 inches. The base of the trian
gular brace, which is adjacent to the given angle measure, is 11 inches in length. Which of the following statements is correct
1 answer:
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Step-by-step
Population was 12.621 when it was measured
Next year it rose by 6%, so add that 6% to 100% and multiply with population measured
12.621 × (100%+6%) = 12.621 × 106% = 13.379,24
Since a man cant be 0,24, we count that as +1
13.379,24 = 13.379 + 1 = 13.380
That was for a year after measurement, now let's calculate for another year
Now, add those 6% to a new population number
13.380 × (100%+6%) = 13.380 × 106% = 14.182,8
since 0,8 isn't a man, instead we add again +1
14.182,8 = 14.182 + 1 = 14.183
now let's do it for another year after last, by adding those 6% to a newest population number
14.183 × (100%+6%) = 14.183 × 106% = 15.033,98
round it again to +1, since 0.98 isn't a man
15.033,98 = 15.033 + 1 = 15.034
that is it, now graph is in the picture.
Population was 12.621 when it was measured
Next year it rose by 6%, so add that 6% to 100% and multiply with population measured
12.621 × (100%+6%) = 12.621 × 106% = 13.379,24
Since a man cant be 0,24, we count that as +1
13.379,24 = 13.379 + 1 = 13.380
That was for a year after measurement, now let's calculate for another year
Now, add those 6% to a new population number
13.380 × (100%+6%) = 13.380 × 106% = 14.182,8
since 0,8 isn't a man, instead we add again +1
14.182,8 = 14.182 + 1 = 14.183
now let's do it for another year after last, by adding those 6% to a newest population number
14.183 × (100%+6%) = 14.183 × 106% = 15.033,98
round it again to +1, since 0.98 isn't a man
15.033,98 = 15.033 + 1 = 15.034
that is it, now graph is in the picture.
a. Given that y = f(x) and f(0) = -2, by the fundamental theorem of calculus we have
Evaluate the integral to solve for y :
Use the other known value, f(2) = 18, to solve for k :
Then the curve C has equation
b. Any tangent to the curve C at a point (a, f(a)) has slope equal to the derivative of y at that point:
The slope of the given tangent line is 1. Solve for a :
so we know there exists a tangent to C with slope 1. When x = -1/3, we have y = f(-1/3) = -67/27; when x = -1, we have y = f(-1) = -3. This means the tangent line must meet C at either (-1/3, -67/27) or (-1, -3).
Decide which of these points is correct:
So, the point of contact between the tangent line and C is (-1, -3).