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1 year ago

The angles in a triangle are in the ratio 2 : 3:7.

Mathematics

1 answer:

Mademuasel [1]1 year ago

3 0

Answer:

30°, 45° and 105°

Step-by-step explanation:

2 + 3 + 7 = 12 parts

180/12 = 15 degrees each part

First angle (2 parts)

2(15) = 30°

Second angle (3 parts)

3(15) = 45°

Third angle (7 parts)

7(15) = 105°

Hope this helps

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Area of a circle

Nutka1998 [239]

Answer:

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Step-by-step explanation:

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3 years ago

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3 years ago

Determine the vertical asymptote for the rational function f of x equals quantity x minus 4 end quantity divided by quantity 3 t

Anastasy [175]

Answer:

vertical asymotote at $x=\frac{-2}{3}$

Step-by-step explanation:

$f(x)= \frac{x-4}{3x+2}$

vertical asymptote is the line where the graph goes close to the line but does not cross it.

To find vertical asymptote, we set the denominator =0 and solve for x

denominator is 3x+2

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3 years ago

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Rainbow [258]

A is the correct answer

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3 years ago

Point B is the center of the circle shown, and the length of arc AC is 8π. What is the area of the circle?

Gwar [14]

Answer:

$A=324\pi \text{ units}^2\approx1017.88\text{ units}^2$

Step-by-step explanation:

The formula for arc length is:

$\stackrel{\frown}{A}=2\pi r(\frac{\theta}{360}})$

Where Θ is measured in degrees.

We know that the arc length is 8π when the degree is 80. So, substitute 8π for A and 80 for Θ:

$8\pi=2\pi r(\frac{80}{360})$

Divide both sides by 2π:

$4=r\frac{80}{360}$

Simplify the fraction:

$4=\frac{2}{9}r$

Multiply both sides by 9/2:

$r=18$

So, the radius is 18.

Now, we can find the area of the circle. The formula for the area of a circle is:

$A=\pi r^2$

Substitute 18 into r:

$A=\pi (18)^2$

Simplify:

$A=324\pi \text{ units}^2\approx1017.88\text{ units}^2$

And we're done!

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3 years ago

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