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GaryK [48]
2 years ago
13

Length of an arc of a sector of angle pº of a circle with radius Ris

Mathematics
1 answer:
Inga [223]2 years ago
5 0

Answer:

Answer is [A]

Step-by-step explanation:

Arc length = 2πr × (θ/360) where θ is the angle of sector which is p in the question and the radius is still the symbol R

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Write the equation of a line that passes through the points (−3, 7) and (3, 3)
Dennis_Churaev [7]

Step-by-step explanation:

You can write an equation of a line conveniently by point-slope form. It's in the form of y -a = m(x -b) where (b,a) is the coordinates of a point that's on the line and m is the slope of the line.

Now choose a point (It doesn't really matter which one) and plug that in the equation. I'll choose (-3,7) where a = 7 and b = -3

y -a = m(x -b) \\ y -7 = m(x -(-3)) \\ y -7 = m(x +3)

The next thing we have to do now is finding the slope, m, where it's equal to \frac{y_{2} -y_{1}}{x_{2} -x_{1}}\\. I'll make (-3,7) point 1 and (3,3) point 2.

m = \frac{3 - 7}{3 -(-3)} \\ m = \frac{3 - 7}{3 +3} \\ m = \frac{-4}{6} \\ m = -\frac{2}{3}

Now let's plug that to our equation.

y -7 = m(x +3) \\ y -7 = -\frac{2}{3}(x +3)

Now we have the equation but out of all the choices it seemed that all of them are in slope-intercept form all you have to do now is make our equation rewrite it in slope-intercept form.

y -7 = -\frac{2}{3}(x +3)\\ y -7 = -\frac{2}{3}x -\frac{2}{3}(3) \\ y - 7 = -\frac{2}{3}x -2\\ y = -\frac{2}{3}x +5

<h3>Answer:</h3>

y = -\frac{2}{3}x +5\\ is your equation.

3 0
3 years ago
Which of the following inequalities represents the statement, "A number, x, decreased by 13 is less than or equal to 39"?
svp [43]
X - 13 < ( with a line under the symbol) 39
another term x - 13 < or = to 39
3 0
3 years ago
What expression is equivalent to 12x⁴ over 4x¹⁶
alexgriva [62]

Answer:

\frac{3}{x^1^2}

Step-by-step explanation:

\frac{12x^4}{4x^1^6}=3x^4/x^16

bring "x^4" to the bottom to subtract it with x^16

3/x^16*x^-4

3/x^12

hope this helps!

7 0
3 years ago
A florist sells bouquets that use Rose's and carnations in a ratio of 2 to 7. she receives a shipment of 343 carnations. how man
REY [17]

Answer: 98 roses

Step-by-step explanation: 2:7 is like x:343

343 divided by 7 is 49, so that is what you multiply 2 by to get the roses. 49 x 2 = 98

4 0
3 years ago
Read 2 more answers
2 Given: a = a + d(n - 1) What is the 10th term of the arithmetic sequence if a, = 16 and d = -3? A-11 B -14 C 48 D -15
yan [13]
Arithmetic sequence

Given

a_n=a_1+d\mleft(n-1\mright)

where

a₁ = 16 and d = -3

We want to find the 10th term of the sequence, this means: we want to find a₁₀.

Since aₙ, for a₁₀ n = 10. Then we replace in the equation:

a₁ = 16, d = -3 and n = 10.

\begin{gathered} a_n=a_1+d\mleft(n-1\mright) \\ \downarrow \\ a_{10}=16-3(10-1) \\ a_{10}=16-3\cdot9=16-27 \\ a_{10}=-11 \end{gathered}

Answer: A. -11

8 0
1 year ago
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