The answer would be 132 because the formula for find circumference while using radius is 2(3.14)r .
C= 2(3.13)21
C= 6.28 • 21 = 131.88
131.88 rounded is 132
Answer:
The slope-intercept form is 
Step-by-step explanation:
To find the slope, use

Replace the x and y values with the points.

Solve.


After that, find the y-intercept form.
Put the equation in point-slope form.

Replace x with 0.


Add 5 to both sides.

Convert to improper fraction form.
The y-intercept is 
Now finally, write in slope-intercept form. (y=mx+b)
m is slope, b is the y-intercept.
See, in these type of questions always first assume your original price to be x. And now try to write whatever information is given to you.
Now, you have that it has been sold for 12% profit, so basically it is sold at. (1 + (12/100))x = 1.12x
Now it is given that if it had been sold for 33₹ more. I.e. if it had been sold at. 1.12x + 33
Net gain would have been 14%.
So gain of 14%, means the cost to be (1+(14/100))x = 1.14x
And basically both 1.12x +33 and 1.14x are final costs, so
1.14x = 1.12x + 3
=> 1.14x - 1.12x = 3
=> 0.02x = 3
=> x = 3÷0.02
=> x= 1650₹
So original cost is 1650₹.
Hope you understand the solution and the way to tackle these type of problems if not then let me know.
hope it helps
pls mark my anwers as brainiest
Step-by-step explanation:
standard equation of sphere , (x-a)²+ (y-b)²+( z-c)² = r² where a.b.c are the centre of the sphere r is radius and x,y,z are the coordintes of the point on the surface of the sphere
(x-7)²+( y-1)²+(z-1)²=16
x²+49-14x+y²+1-2y+z²+1-2z=16
x²+y²+z²-14x-2y-2z+35=0
(b) same as above diameter = 8 ,radius = 4 and centre is given
(c) (x-1)²+(y-3)²+(z-2)² = r² it passes through (0,0,0)
(0-1)²+( 0-3)²+(0-2)²=r² ⇒ r =√14 now we have centre and radius same as above
(d) centre is mid point of the end points of diameter
(1+0/2)=x ,(2+2/2) =y (1+3/2) =z ⇒ (x,y,z) = (1/2,2,2) and
radius = distance between centre and any end points of the diameter
so radius = √(1/2-1)²+(2-2)²+(2-1)² = √5/2 now we can find the equation of the sphere
Answer:
A. 1180
Step-by-step explanation:
Given that last year 900 cases were sold, and this year they increased by 7% find the cases sold this year,
Increase 900 by 7%. This is equal to multiplying 900 by 107%
900*107/100 =963 cases
You can now increase the number of cases sold by 7% every year for 3 years.
In the first year, cases sold will be;
963*107/100 = 1030.41 cases
In the second year, cases sold will be;
1030.41*107/100 = 1102.10 cases
In the third year, cases sold will be;
1102.10*107/100 = 1179.14
This is approximately 1180 cases rounded to a whole number