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3 years ago

If the arc length of a sector in the unit circle is 4.2, what is the measure of the angle of the sector?

1 answer:

4 0

Bear in mind the Unit Circle is called so, because its radius is exactly 1, thus just 1 unit, the Unit Circle

anyway $\bf \theta=\cfrac{180s}{\pi r}\qquad 
\begin{cases}
\theta=\textit{central angle in degrees}\\
r=radius\\
s=\textit{length of the arc}\\
----------\\
s=4.2\\
r=1
\end{cases}\implies \theta=\cfrac{180\cdot 4.2}{1\cdot \pi }$

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Find the value of x.<br> (3x+20) º<br> 12°

PolarNik [594]

Answer:

x=32°

Step-by-step explanation:

2x+3x+20=180 co interior angle

5x=180-20

x=160/5=32°

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2 years ago

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Use the distributive property to write the expression as a product<br> 10+70x

grigory [225]

Answer:

$10(1+7x)$

Step-by-step explanation:

Just factored out the 10.

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2 years ago

Once again... we almost finish, solve for x

algol13

Answer:

x = 34

Step-by-step explanation:

Angles are supplementary:

x + 7 + 4x + 3 = 180

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2 years ago

Find the center and radius of the circle whose equation is x 2 + y 2 + 10x − 1

Margaret [11]

we conclude that the center of the circle is the point (-5, 0).

<h3>How to find the center of the circle equation?</h3>

The equation of a circle with a center (a, b) and a radius R is given by:

$(x - a)^2 + (y - b)^2 = R^2$

Here we are given the equation:

$x^2 + y^2 + 10x - 1 = 0$

Completing squares, we get:

$x^2 + 10x + y^2 = 1$

Now we can add and subtract 25 to get:

$x^2 + 10x + 25 - 25 + y^2 = 1\\\\(x + 5)^2 -25 + y^2 = 1\\\\(x + 5)^2 + (y - 0)^2 = 26$

Comparing that with the general circle equation, we conclude that the center of the circle is the point (-5, 0).

If you want to learn more about circles:

brainly.com/question/1559324

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1 year ago

Tyrone makes a scale drawing of his backyard. The scale from the backyard to the drawing is 2 ft to 1 in. The width of the patio

Sphinxa [80]

Answer:

The width of Tyrone's actual patio is 16 feet

Step-by-step explanation:

$\frac{2ft}{1in}$ = $\frac{x}{8}$ If we look at what we know, we see that the scale tells us that 1 inch is proportional to 2 ft. What do we need to multiple 1 inch by to get 8 inches? 8. So, we multiply 2 feet by 8 to get the actual size of the patio which is 16 feet.

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1 year ago