Circumference of a circle is calculated by the formula:
= Pie * diameter
= π * diameter
= 22/7 * 22
= 69.14 cm
Area of circle:
= Pie * radius ²
Radius = diameter/2
= 11 cm
Area = 22/7 * 11²
= 22/7 * 121
= 380.29 cm²
C, and x=30
Karen had a gift card for $150. She bought 3 gifts for her sisters. The gifts cost the same amount, x. After paying for the gifts, her gift card had a balance of $60.
The rate is the ratio that makes the comparision between two quantities that are different to each and contains diffeent kind of measuring units
It also provide the information like feet per second, miles per hour, etc
So the ratio that makes the comparision between the different kind of units is known as rate
The parentheses do nothing here to stop you from adding - since every term in here is only being added, there is no reason to worry about the parentheses. Simply combine like terms (13 + 6) to achieve 6x + 19.
923000 is the number in which 9 represents 1/10th of its value in 92300.
If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.
we need to find the number in which 9 represents 1/10th of its value in 92300.
here, this number would be 10 times larger.
Multiply 92300 by 10
= 92300 x 10
Learn more about multiplications;
You want to find the number in which 9 represents 1/10th of its value in 92300. Naturally, this number would be 10 times larger. Multiply 92300 by 10 to get 923000.
See proof below
In trigonometry identity
tan^2 theta = sin^2 theta /cos^2 theta
cot^2 theta = cos^2 theta/sin^2 theta
csc^2 theta = 1/sin^2 theta
Substitute into the expression
(sin^2 theta /cos^2 theta )+ (cos^2 theta/sin^2 theta)/1/sin^2 theta
= [sin^4theta + cos^4theta/cos^2 theta sin^2 theta]÷(1/sin^2 theta)
= 1/cos^2 theta sin^2 theta÷(1/sin^2 theta)
= 1/cos^2 theta sin^2 theta * sin^2 theta/1
= sec^2theta (Proved!)
The general equation of a circle is expressed as;
(x-a)²+(y-b)² = r² where;
(a, b) is the centre of the circle
r is the radius
Given the centre (8, 3) and the radius of 9, the equation of the circle will be;
(x-a)²+(y-b)² = r²
(x-8)²+(y-3)² = 9²
(x-8)²+(y-3)² = 81
hence the required equation is (x-8)²+(y-3)² = 81
Given that :
Initial elevation of butterfly = 20 meter
Change in elevation from initial height = negative 16 m = - 16 meter
Final elevation can be obtained by taking the sum of initial elevation and the change in elevation
(20 m + (- 16 m))
(20 m - 16 m)
= 4 meters