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3 years ago

If 3x + 5y = 42 and 9x +7y = 78, then x + y = ?

Mathematics

1 answer:

kumpel [21]3 years ago

8 0

3x+5y=42

9x+7y=78

adding above equation

12x+12y=120

x+y=10

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Find the area of the shaded region Gh= 13yd

Feliz [49]

Answer:

area ≈ 344. 93 yard²

Step-by-step explanation:

The question you are asking is a circle with shaded portion and a portion not shaded . The radius of the circle is given as 13 yards . H is the center of the circle and unshaded part of the the sector has an angle of 126°.

The area of a sector = ∅/360 × πr²

The other angle of the shaded portion is unknown . To find the angle we subtract 126° from 360°(complete angle).

360 - 126 = 234°

area of a sector = ∅/360 × πr²

where

∅ = 234°

r = 13 yards

area = 234/360 × π × 13²

area = 234/360 × π × 169

area = 39546π/360

area = 109.85π

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Step-by-step explanation:

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The correct choice is D

Step-by-step explanation:

The trigonometric functions, $\sin x$ and $\cos x$ are defined for all real numbers.

$\tan x=\frac{\sin x}{\cos (x)}$ , this function is not defined where $\cos x=0$ .

$\cot x=\frac{\cos x}{\sin (x)}$ , this function is not defined where $\sin x=0$ .

$\csc x=\frac{1}{\sin (x)}$ , this function is not defined where $\sin x=0$ .

For option A

The domain of $f(x)=\sin(x)$ is all real numbers.

The domain of g(x) =tanx is $x\ne \frac{(2n+1)\pi}{2}$

For option B

The domain of $f(x)=\cos(x)$ is all real numbers.

The domain of f(x) =csc(x) is $x\ne n\pi$

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The domain of G(x) =tanx is $x\ne \frac{(2n+1)\pi}{2}$

The domain of f(x) =cot(x) is $x\ne n\pi$

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