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Julli [10]
3 years ago
7

As part of a holf-marathon route, Charlie

Mathematics
1 answer:
pychu [463]3 years ago
4 0

Answer:

He is 9.9 miles far from his starting point.

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How do I find the arc length with given radius & central angel?
ella [17]

The length of an arc subtended by a central angle is proportional to the circle's circumference. If the given central angle has measure \theta and the circle has radius r, then the arc has length \ell such that

\dfrac{\ell}\theta=\dfrac{2\pi r}{2\pi}=r

where \theta is given in radians. Then

\ell=r\theta

If \theta is given in degrees, then

\dfrac{\ell}\theta=\dfrac{2\pi r}{360}\implies\ell=\dfrac{\theta\pi r}{180}

8 0
3 years ago
Evaluate the following for the given values. 7xy - y + x - 1 for x = -2 and y = -1
BigorU [14]

<em>Heyo! ;D</em>

After evaluating the given expression, the result would be <em>14 - x.</em>

<em></em>

<em></em>

Hope this helped you! If so, please lmk! Tysm and good luck!

8 0
2 years ago
Write the equation of the parabola in vertex form.<br><br><br>Vertex: (−4,6); Point: (−2,−2)
gtnhenbr [62]

Answer:

y = - 2(x + 4)² + 6

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k ) = (- 4, 6 ) , thus

y = a(x - (- 4) )² + 6 , that is

y = a(x + 4)² + 6

To find a substitute (- 2, - 2) into the equation

- 2 = a(- 2 + 4)² + 6 ( subtract 6 from both sides )

- 8 = a(2)² = 4a ( divide both sides by 4 )

- 2 = a , thus

y = - 2(x + 4)² + 6 ← equation in vertex form

5 0
3 years ago
Describe in detail how you would create a number line with the following points: 4, 1.25, the opposite of 3, and – (–2 fraction
KatRina [158]

Answer:

Read below

Step-by-step explanation:

(2)2(−4)3. (2)3 +(−4)2. Substitute 2 for x and −4 for y. 4(−64). 8+16. = −256 ... An equation is a term used to describe a collection of numbers and variables related ... gives us a set of coordinate points that we can plot to create a graph of the function. ... The tick-marks on the number line represent evenly spaced integers.

5 0
2 years ago
Read 2 more answers
Monic and Rachel purchased a tv for $378. Monica paid $36 less then Rachel. How many did each person pay for the tv? Solve using
topjm [15]

Answer:

Monica paid $171 while Rachel paid $207

Step-by-step explanation:

We are told that Monic and Rachel purchased a tv for $378.

Let the amount spent by Monica be X and the amount spent by Rachel be Y.

Thus;

x + y = 378 - - - - (eq 1)

We are told that Monica paid $36 less then Rachel. Thus;

y = x + 36

Or y - x = 36 - - - (eq 2)

Add eq 1 & eq 2 together to give;

2y = 378 + 36

2y = 414

y = 414/2

y = $207

Put 207 for x in eq 1 to get;

x + 207 = 378

x = 378 - 207

x = $171

Thus;

Monica paid $171 while Rachel paid $207

8 0
2 years ago
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