Answer:
0.000000093
Step-by-step explanation:
Theres seven zeros after the decimal
Answer:
S = 38.4 centimeters.
Step-by-step explanation:
<u>Given the following data;</u>
- Radius, r = 12 cm
- Angle = 3.2 rads
To find the length of the arc of a circle;
A full circle measures an angle of 360 degrees.
π = 180°
So; Angle, A = 360° = 2π
Therefore, a full circle is equal to 2π in terms of radians (rads).
Also, the circumference (the length of an arc) of a circle is equal to 2πr or Ar.
Mathematically, the length of the arc of a circle is given by the formula;
S = rA
Where;
- S is the length of the arc.
- A is the angle measured in radians.
Substituting into the formula, we have;
S = 12 * 3.2
<em>S = 38.4 centimeters.</em>
Refer to the attached image.
Let the width of the border be 'x' inch.
Area of border = Area of rectangle ABCD - Area of rectangle PQRS
Area of rectangle ABCD = 
= 
=
square units.
Area of rectangle PQRS = 
= 
= 117 square units.
So, area of border =
As it is given that the area of border is 48 square units.
So, 


So, the complete equation is
.
Now, we will find 'x' in the equation
,


(x-1) (x+12)=0
So, x = 1 or x = -12
Width can'not be negative.
So, x = 1 .
Therefore, the width of the border can'not be 2.5 inch.
Therefore, the width of the border is 1 inch.
Answer: 203.5mg and 322.5mg
Step-by-step explanation:
Let represent two serving of Mc Donald quarter pounds with = m
Let three Burger King whopper = b
given:
1). m + b = 300 + 395......equation 1.
1). m + b = 695.
And
2). 3m + b = 288.......... equation 2.
• Using Elimination method, Multiply both sides of eqn.(1) and (2)by 3. then
-3m + 3b = 2084
9m + 3b = 864
Subtract equation (1) from (2).
6m = 1221
Divide both sides by -6
m = 203.5
Substitute (m) into equation 1
3m + b = 288.
3(203.5) + b = 288.
610.5 + b = 288
b = 610.5 - 288
b = 322.5
Two servings of Mc Donald quarter pound has 203.5mg of cholesterol.
Three servings of whopper has 322.5mg of cholesterol.