Answer:
452.16
Step-by-step explanation:
the equation is A=nr^2
Answer:
sin(x - y) = 0.21
Step-by-step explanation:
we have the sin values which we need to get cos values
sin (A-B) = sin A cos B - sin B cos A
sin² A + cos² A = 1
sin x = 4/9
cos² x = 1 - sin² x = 1 - 16/81 = 65/81
cos² x = 65/81
cos x = √65/9
sin y = 1/4
cos² y = 1 - sin² y = 1 - 1/16 = 15/16
cos² y = 15/16
cos y = √15/4
sin(x − y) = sin x cos y - sin y cos x
sin(x - y) = 4/9 √15/4 - 1/4 √65/9
sin(x - y) = (4√15-√65)/36
sin(x - y) = 0.21
socratic Narad T
Answer:
Option C.
Step-by-step explanation:
Hey there!
The points are; (-4,-4) and (-4,-10).
<u>Use </u><u>distance</u><u> formula</u><u>.</u>
~ Put all values.
~ Simplify it.
Therefore, distance between the points is 6 units.
<em><u>Hope</u></em><em><u> it</u></em><em><u> helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>
The solution of the system of equations that is given is (2,-1).
Given a system of equations are 5x+y=9 and 3x+2y=4.
A system of linear equations (or linear system) is a collection of one or more linear equations involving the same variables. A solution to a linear system is an assignment of values to the variables such that all the equations are simultaneously satisfied.
The given equations are
5x+y=9 ......(1)
3x+2y=4 ......(2)
Here, the substitution method is used to solve the system of equations.
Find the value of y from equation (1) by subtracting 5x from both sides.
5x+y-5x=9-5x
y=9-5x
To find the value of x substitute the value of y in equation (2).
3x+2(9-5x)=4
Apply the distributive property a(b+c)=ab+ac as
3x+2×9-2×5x=4
3x+18-10x=4
Combine the like terms on the left side as
-7x+18=4
Subtract 18 from both sides and get
-7x+18-18=4-18
-7x=-14
Divide both sides by -7 and get
(-7x)÷(-7)=(-14)÷(-7)
x=2
Substitute the value of x in equation (1) and get
5(2)+y=9
10+y=9
Subtract 10 from both sides
10+y-10=9-10
y=-1
Hence, the solution of system of equations 5x+y=9 and 3x+2y=4 is (2,-1).
Learn more about system of equations from here brainly.com/question/13729904
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