The area of circle is 254.34 square inches, if the circumference of a circle is 56.52 inches.
Step-by-step explanation:
The given is,
Circumference of a circle is 56.52 inches.
Step:1
Formula for circumference of circle is,
........................(1)
Where, r - Radius of circle
From the given,
C = 56.52 inches
Equation (1) becomes,
56.52 = 2 
(r)
56.52 = (2) (3.14) (r)
56.52 = 6.28 (r)
r = 9 inches
Step:2
Formula for area of circle,
............................(2)
Where, r - Radius of circle
From the given,
r = 9 inches
Equation (2) becomes,
= (3.14) (81)
= 254.34
Area of circle, A = 254.34 square inches
Result:
The area of circle is 254.34 square inches, if the circumference of a circle is 56.52 inches.
Answer:
It would take the smaller pipe 28 minutes to fill up the truck.
Step-by-step explanation:
Since the larger pipe takes 84 minutes and is three times faster than the smaller pipe, you have to divide 84 by 3 to get 28. To check if this is correct you have to multiply 28 by 3 and you get 84. Showing that the larger pipe is three times faster.
So the 4 represents the amplitude of the function. We can also see that because it is a positive number, the graph is even. ⁽⁽The number before the graph type (Sin or Cos) always represents the amplitude. The amplitude is how many units the graph travels up and down from the midline.
The -2 is the midline. This means that the midline is at -2 on the Y-axis. To find the max and min, you then add the amplitude to find the maximum, and subtract to find the minimum. [-6. 2]
To find the period, you divide 2π by the term in front of x. In this case, it's 3, so we do 2π/3. This cannot be simplified further, but in degrees this equals 120°. This means that, with the question asking for 2 full cycles, that the graph will go through 2 full cycles in 240°
Hope this helps, sorry i couldn't sketch the graph for you
put the equation 2x - y = 16 in the form of y = mx + c
2x - y = 16
2x = 16 + y
y = 2x - 16
the slope of this line is 2. the slope of a line perpendicular to it would be the negative reciprocal of 2. in other words, it would multiply with 2 to give -1.
you can form this equation with that info
2x = -1
x = -1/2
OR
you can flip and change the sign (numerator) of 2/1
2/1
= -1/2
Answer:
The length of AC is 222 units.
Step-by-step explanation:
Given AC and AE are common external tangents of G and D.
BC= 123 , GB=20 and AG=101.
We have to find the measure of AC.
As, a straight line joined from the center i.e radius is perpendicular to tangent drawn. Therefore,
In ΔABG, by Pythagoras theorem
⇒ 
⇒ 
⇒ AB=99 units.
Hence, AC=AB+BC=99+123=222 units.
The length of AC is 222 units.
