Answer:
about 1.56637 radians ≈ 89.746°
Step-by-step explanation:
The reference angle in radians can be found by the formula ...
ref angle = min(mod(θ, π), π -mod(θ, π))
Equivalently, it is ...
ref angle = min(ceiling(θ/π) -θ/π, θ/π -floor(θ/π))×π
<h3>Application</h3>
When we divide 11 radians by π, the result is about 3.501409. The fractional part of this quotient is more than 1/2, so the reference angle will be ...
ref angle = (1 -0.501409)π radians ≈ 1.56637 radians ≈ 89.746°
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<em>Additional comment</em>
For calculations such as this, you need to use the most accurate value of pi available. The approximations 22/7 or 3.14 are not sufficiently accurate to give good results.
Answer:
Step-by-step explanation:
A salt solution contains 10% salt and weights 80g.
<u>Salt content of the solution is:</u>
<u>4% solution has 8 g salt, total solution is:</u>
- 0.04x = 8
- x = 8/0.04 = 200 g
<u>Water to be added:</u>
1. 9/10 + 7/9 = 81/90 + 70/90 = 151/90 = 1 61/90
2. 1/2-3/11 = 11/22-6/22 = 5/22
3. 2/5-1/15 = 6/15-1/15 = 5/15 =1/3
<span>(x-h)^2 + (y-k)^2 = r^2
(h, k) = (-5, -1)
r = 5
</span><span>(x+5)^2 + (y+1)^2 = 5^2
</span><span>(x+5)^2 + (y+1)^2 = 25</span>
A. You would be able to prove it by SSS. One side is already said to be congruent and the other is shared by both.
