Answer:
17pi/15
Step-by-step explanation:
s = r *theta where r is the radius and theta is the central angle in radians
Convert 51 to radians
51 * pi/180 = 51pi/180
s = 4 * 51pi/180
= 17pi/15
Answer:
The answer is
<h2>

</h2>
Step-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
To find the equation of the parallel line we must first find the slope of the original line
That's
Slope of the through points
(15, -6) and (-3, 13) is
<h3>

</h3>
Since the lines are parallel their slope are also the same
So slope of parallel line = - 19/18
Equation of the line using point (4,2) and slope -19/18 is
<h3>

</h3>
We have the final answer as
<h3>

</h3>
Hope this helps you
Answer:

Step-by-step explanation:
The terms of this sum make the arithmetic sequence.
The fomula of a sum of <em>n</em> terms of an arithmetic sequence:
![S_n=\dfrac{[2a_1+(n-1)d]\cdot n}{2}](https://tex.z-dn.net/?f=S_n%3D%5Cdfrac%7B%5B2a_1%2B%28n-1%29d%5D%5Ccdot%20n%7D%7B2%7D)
We have

Substitute:
![S_{50}=\dfrac{[2\cdot2+(50-1)\cdot15]\cdot50}{2}=(4+49\cdot15)\cdot25=(4+735)\cdot25\\\\=739\cdot25=18,475](https://tex.z-dn.net/?f=S_%7B50%7D%3D%5Cdfrac%7B%5B2%5Ccdot2%2B%2850-1%29%5Ccdot15%5D%5Ccdot50%7D%7B2%7D%3D%284%2B49%5Ccdot15%29%5Ccdot25%3D%284%2B735%29%5Ccdot25%5C%5C%5C%5C%3D739%5Ccdot25%3D18%2C475)
Answer:
The money Keira spent on food is $31.
Step-by-step explanation:
Total money spent by Keira = $45
Things Keira spent money on:
1. Clothing
2. Food
3. Other items
Money spent on Clothing = 1/5 of total money
= 1/5 x $45
Money spent on Clothing = $9
Money spent on Other Items = 1/9 of total money
= 1/9 x $45
Money spent on Other Items = $5
Money spent of on Food = Money spent - (Money spent on clothing + other items)
Money spent on food = 45 - (9+5)
= 45 - 14
Money spent on food = $31
Hello there!
So the equation I would use for this word problem is 3(s+5)=45.
3s+15=45
-15 -15
__________
3s=30
Divide 3 from both sides.
s ends up equaling 1.
Each stuffed animal elephant cost $10