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3 years ago

Given that an intercepted arc has length 6pi inches and a central angle is pi/3, find the radius

1 answer:

5 0

$\bf \textit{arc's length}\\\\
s=r\theta \quad 
\begin{cases}
r=radius\\
\theta =angle~in\\
\qquad radians\\
------\\
s=6\pi \\
\theta =\frac{\pi }{3}
\end{cases}\implies 6\pi =r\left( \frac{\pi }{3} \right)\implies \cfrac{6\pi }{\frac{\pi }{3}}=r
\\\\\\
\cfrac{6\pi }{1}\cdot \cfrac{3}{\pi }=r\implies 18=r$

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Can somebody help me with this !!!!!!!thanks

dalvyx [7]

Given:

The graph of a parabola.

To find:

The domain, range and check whether it is a function or not.

Solution:

Domain: The set of x-values or input values is known as domain.

Range: The set of y-values or output values is known as range.

A relation is a function if their exist unique outputs for each input. In other words a graph is a relation if it pass the vertical line test.

Vertical line test: Each vertical line intersect the graph at most once.

The given function is defined for all real values of x which are greater than or equal to -3. So, the domain of the given graph is:

$Domain=[-3,\infty)$

The given function values can be any real number. So, the range of the given graph is:

$Range=(-\infty,\infty)$

For x=0, we have two values of the function because the graph intercept the y-axis at two points.

Since the graph does not pass the vertical line test therefore the given graph is not a function.

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2 years ago

Can somebody plz help answer all the questions correctly thanks a lot !!!

Lady_Fox [76]

Answer:

7. 250%

8. 400%

9. 667%

10. 769%

11. 263%

12. 125%

13. 137%

14. 526%

Step-by-step explanation:

divide the first number by the second number, then multiply that answer by 100

so kind of like: Number1 ÷ Number2 = x

then you do x × 100

and that's your answer

(all of my answers are rounded to the nearest percent)

3 0

2 years ago

Read 2 more answers

BRAINLIEST!!!

Sonbull [250]

Answer:

$\sqrt{37}$

Step-by-step explanation:

The distance d between a point (m , n ) and a line in the form

Ax + By + C = 0 , is calculated as

d = $\frac{|Am+Bn+C|}{\sqrt{A^2+B^2} }$

Here (m, n ) = (6, 2 ) and

6x - y = - 3 ( add 3 to both sides )

6x - y + 3 = 0 → A = 6, B = - 1, C = 3

d = $\frac{|6(6)+-1(2)+3|}{\sqrt{6^2+(-1)^2} }$

= $\frac{|36-2+3|}{\sqrt{36+1} }$

= $\frac{|37|}{\sqrt{37} }$

= $\frac{37}{\sqrt{37} }$ × $\frac{\sqrt{37} }{\sqrt{37} }$

= $\frac{37\sqrt{37} }{37}$ ← cancel 37 on numerator/ denominator

= $\sqrt{37}$

7 0

2 years ago

Dew help me please come on

adell [148]

Answer:

75c-180

420 for 8 customers

Step-by-step explanation:

Her tools cost her 180

-180

she makes 75 per customer

75c

She will make

75c-180

She gets 8 customers

75(8)-180

600-180

420

7 0

3 years ago

Given the graph of a line y=−x. Write an equation of a line (there are many) which intersects the line, but is not perpendicular

BaLLatris [955]

This would be any equation whose slope isn’t -1 or 1.

If the slope was -1, the lines would be parallel because the have the same slope.

If the slope was 1, the lines would be perpendicular because 1 is the negative reciprocal of -1.

Any line with any other slope will intersect with y=-x.

Hope this helps!

5 0

2 years ago