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3 years ago

The circumference of a flower garden is 247 ud. What is the area of the flower garden in terms of

Mathematics

1 answer:

lisov135 [29]3 years ago

4 0

Answer:15252.25π^3

Step-by-step explanation:

Radius=r

Circumference=247 ud

Circumference=2 x π x r

247=2πr

Divide both sides by 2π

247/2π=2πr/2π

123.5π=r

Radius=123.5π

Area of circle=π x r x r

Area of circle=π x 123.5π x 123.5π

Area of circle=15252.25π^3

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Step-by-step explanation:

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3 years ago

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3 years ago

The angle θ 1 is located in Quadrant IV, and cos ⁡ ( θ 1 ) = 9/ 19 , theta, start subscript, 1, end subscript, right parenthesis

Firdavs [7]

Answer:

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Step-by-step explanation:

We are given that $\theta_1$ is in fourth quadrant.

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$sin\theta_1$ is always negative in 4th quadrant.

Also, we know the following identity about $sin\theta$ and $cos\theta$ :

$sin^2\theta + cos^2\theta = 1$

Using \theta_1 in place of \theta:

$sin^2\theta_1 + cos^2\theta_1 = 1$

We are given that $cos\theta_1 = \frac{9}{19}$

$\Rightarrow sin^2\theta_1 + \dfrac{9^2}{19^2} = 1\\\Rightarrow sin^2\theta_1 = 1 - \dfrac{81}{361}\\\Rightarrow sin^2\theta_1 = \dfrac{361-81}{361}\\\Rightarrow sin^2\theta_1 = \dfrac{280}{361}\\\Rightarrow sin\theta_1 = \sqrt{\dfrac{280}{361}}\\\Rightarrow sin\theta_1 = +\dfrac{2\sqrt{70}}{19}, -\dfrac{2\sqrt{70}}{19}$

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3 years ago

The solution to f - (-4) = 12 is f = 8. True False

amid [387]

Answer:

true

Step-by-step explanation:

as negative takeaway a negative is positive so 8-(-4)= 8+4=12

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2 years ago

Read 2 more answers