Answer:
V = 18816.57 in^3
Step-by-step explanation:
So we need to find the volume of the inner sphere. Try to picture the coconut as a circle with another circle inside of it. We know that the bigger circle is 55 inches wide, and the distance between the circumferences of the circles is 11 inches. that means the inner circle is 55 - 2(11) inches wide. This is because we have 11 inches of coconut meat on either side of the inner circle.
55 - 2(11) = 33 inches
The radius is half of the diameter, so r = 16.5 inches.
Now just use the formaula V = ![\frac{4}{3}\pi r^{3}](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B3%7D%5Cpi%20%20r%5E%7B3%7D)
V = (4/3) * 3.14 * (16.5)^3
V = 18816.57 in^3
<em>Also, just a side note.. this is one big coconut..</em>
C is the answer you are looking for.
Answer:
The numbers are -15 and 100
![\frac{2}{10} +\frac{-15}{100} =\frac{5}{100}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B10%7D%20%2B%5Cfrac%7B-15%7D%7B100%7D%20%3D%5Cfrac%7B5%7D%7B100%7D)
Step-by-step explanation:
we have
![\frac{2}{10} +\frac{x}{100} =\frac{5}{y}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B10%7D%20%2B%5Cfrac%7Bx%7D%7B100%7D%20%3D%5Cfrac%7B5%7D%7By%7D)
Solve the left side
![\frac{2}{10} +\frac{x}{100} =\frac{20+x}{100}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B10%7D%20%2B%5Cfrac%7Bx%7D%7B100%7D%20%3D%5Cfrac%7B20%2Bx%7D%7B100%7D)
so
![\frac{20+x}{100}=\frac{5}{y}](https://tex.z-dn.net/?f=%5Cfrac%7B20%2Bx%7D%7B100%7D%3D%5Cfrac%7B5%7D%7By%7D)
equate the numerators and the denominators
20+x=5 ------> x=5-20=-15
100=y -------> y=5
therefore
The numbers are -15 and 100
![\frac{2}{10} +\frac{-15}{100} =\frac{5}{100}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B10%7D%20%2B%5Cfrac%7B-15%7D%7B100%7D%20%3D%5Cfrac%7B5%7D%7B100%7D)
Answer:
y = -x - 4
Step-by-step explanation:
First find the slope
y - 4 = (x - 6)
y - 4 = x - 6
y = x - 6 + 4
y = x - 2 (y = mx + C)
Slope m = 1
It is said that the line is perpendicular to a point ( -2, -2)
If two lines are perpendicular, their slope will be negative reciprocal
The negative reciprocal of slope = 1 is -1
Using a slope intercept form as requested by the question
y = mx + C
Inserting the values given
(-2, -2)
We are using point slope form
y - y_1 = m ( x - x_1)
x_1 = -2
y_1 = -2
m = -1
Insert the values
y - ( -2)) = -1( x - (-2))
y + 2 = -1 ( x + 2)---- point slope form
But we are requested to give the answer in slope intercept form
y = mx + C
We have to open the bracket
y + 2 = -1(x + 2)
y + 2 = -x - 2
y = -x - 2 - 2
y = -x - 4 ( slope - intercept form)