Answer:
Let θ = (45 - A)°.
=> 2Tanθ/ 1 + Tan²θ
=> 2Sinθ/Cosθ / 1 + Sin²θ / Cos²θ
=> 2Sinθ/Cosθ/ Cos²θ + Cos²θ / Cos²θ
=> 2Sinθ/Cosθ/ 1 / Cos²θ
=> 2SinθCos²θ/Cosθ
=> 2SinθCosθ
=> Sin2θ
But we assumed θ = (45 - A)°,
=> Sin2(45 - A)
=> Sin(90 - 2A) (∵ Sin(90 - θ) = Cosθ)
=> Cos2A
= R.H.S
Hence proved.
Step-by-step explanation:
Answer: 9p - 1.5a
Step-by-step explanation:
Your maximum heart rate is about 220 minus your age. But it varies base on age category.
Target heart rate during moderate intensity activities is about 50-70% of maximum heart rate.
According to the question;
Target heart rate for
women = 1/2p(418-4a)
= 209p - 2a ....... (1)
men = 1/2p(400-a)
= 200p - 0.5a .......(2)
To find the difference between the target heart rates for a fit woman and a fit man, take equation 1 from equation 2
(209p - 2a) - (200p - 0.5a)
209p - 2a - 200p + 0.5a
9p -1.5a
9 - (-3)^2 / 4(7) -9
9 - (9)/ 28 - 9
0/21
0/21 = 0
hope this helps
Answer:
y = -4/5x - 0.8
Step-by-step explanation:
A(-6, 4)
B(4, -4)
Find slope using the two points above:
m = (y₂ - y₁) / (x₂ - x₁)
= (-4 - 4) / (4 - (-6))
= -8 / 10
m = -4/5
Find y-intercept using m from above and anyone point, let's use (-6, 4):
y = mx + b
4 = -4/5(-6) + b
4 = 24/5 + b
b = -0.8
Use m and b from above to form equation of line:
y = mx + b
y = -4/5x - 0.8
Answer:
A≈3.14cm²
should be the answer, I am not to familiar with solving equations with approximations.
Step-by-step explanation:
formula:
≈ 3.14159cm²
