Answer:
or exact is −0.70710678...
Step-by-step explanation:
Getting the point!
- If we look at the unit circle and we find
we see it is in the 3rd quadrant. - We know that all points in the 3rd quadrant have both negative x and negative y values.
- We know that all radians with the base of 4 on the unit circle have the points of
- Because we are in the 3rd quadrant and both x and y are negative we know the point of is
Finding the sin!
- Because we know that sin is asking us for the y value
- We can just look at the point and find the y value!
- the y value is
- Because this fraction does not need to be rationalized we are good!
- Use a calculator to find the exact value and you get -0.70710678...
- The final answer is or exact is −0.70710678...
Hope this helps!! Please mark Brainliest!
Answer:
Step-by-step explanation:
Pictured two triangles with two angles and non-included side being congruent.
It doesn't make the triangles congruent as it doesn't match any congruence postulates.
So not enough info in this case.
Answer:
34.43
Step-by-step explanation:
A differential of length in terms of t will be ...
dL(t) = √(x'(t)^2 +y'(t)^2)
where ...
x'(t) = 4cos(4t)
y'(t) = 7cos(7t)
The length of c(t) will be the integral of this differential on the interval [0, 2π].
Dividing that interval into 10 equal pieces means each one has a width of (2π)/10 = π/5. The midpoint of pieces numbered 1 to 10 will be ...
(π/5)(n -1/2), so the area of the piece will be ...
sub-interval area ≈ (π/5)·dL((π/5)(n -1/2))
It is convenient to let a spreadsheet or graphing calculator do the function evaluation and summing of areas.
__
The attachment shows the curve c(t) whose length we are estimating (red), and the differential length function (blue) we are integrating. We use the function p(n) to compute the midpoint of the sub-interval. The sum of sub-interval areas is shown as 34.43.
The length of the curve is estimated to be 34.43.
Answer:
8 flowers in each bunch
Step-by-step explanation:
if she had 23 and 8 in each that would be 184. and when she gave 46 away she had 138 left
The opposite of -10 would be
D. 10
