11. Tyler loves buying new sneakers. Normally they cost $80.00. Today

Mathematics

1 answer:

Minchanka [31]2 years ago

4 0

Answer:

Step-by-step explanation:

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Can anybody help me w this?

Ratling [72]

Answer:

12.62 m

Step-by-step explanation:

Area of a circle = πr²

Area = 125m²

Hence:

125m² = πr²

r² = 125m²/π

r = √125m²/π

Hence,

r =√ 39.788735773

r = 6.3078313051 m

Diameter = Radius × 2

Therefore, Diameter of one circle is

= 6.3078313051 m × 2

= 12.61566261m

Approximately = 12.62 m

8 0

2 years ago

20 POINTS!!!

notka56 [123]

$\dfrac{2}{\sqrt3\cos x+\sin x}=\sec\left(\dfrac{\pi}{6}-x\right)\\\\\dfrac{2}{\sqrt3\cos x+\sin x}=\dfrac{1}{\cos\left(\dfrac{\pi}{6}-x\right)}\ \ \ \ \ (*)\\----------------\\\\\cos\left(\dfrac{\pi}{6}-x\right)\ \ \ \ |\text{use}\ \cos(x-y)=\cos x\cos y+\sin x\sin y\\\\=\cos\dfrac{\pi}{6}\cos x+\sin\dfrac{\pi}{6}\sin x=\dfrac{\sqrt3}{2}\cos x+\dfrac{1}{2}\sin x=\dfrac{\sqrt3\cos x+\sin x}{2}\\------------------------------$

$(*)\\R_s=\sec\left(\dfrac{\pi}{6}-x\right)=\dfrac{1}{\cos\left(\dfrac{\pi}{6}-x\right)}=\dfrac{1}{\dfrac{\sqrt3\cos x+\sin x}{2}}\\\\=\dfrac{2}{\sqrt3\cos x+\sin x}=L_s$