9 1/2 * 15.15 = $143.925 dollar
Write an equation system based on the problem
"Agatha is five times older than her son, Bob" could be written as:
a = 5b.......(first equation)
"Three years ago, she was nine times older" could be written as:
a - 3 = 9(b - 3)......(second equation)
Solve the equation system
To find the value of b, substitute 5b as a to the second equation
a - 3 = 9(b - 3)
5b - 3 = 9(b - 3)
5b - 3 = 9b - 27
5b - 9b = -27 + 3
-4b = -24
b = -24/-4
b = 6
Her son, Bob, is 6 years old
To find Agatha's age, substitute the value of b to the first equation
a = 5b
a = 5 × 6
a = 30
Agatha is 30 years old
it equals to -2+10v since you have to distribute the -2 to the 1 and -5v
<span>C) Newton's second law :
Newton's second law of motion can be formally stated as follows: The acceleration of an object as produced by a net force is directly proportional to the magnitude of the net force, in the same direction as the net force, and inversely proportional to the mass of the object.</span>
The height of the canvas according to tangent is 14 inches.
According to the statement
we have given that the a rectangular canvas for his art project. its width must measure 20 inches and form a 35° angle with the diagonal of the canvas.
And we have to find the height of the canvas.
So, For this purpose,
The given information is:
The 35⁰ angle is part of a right triangle with a side of 20 inches. The tangent of this angle (35⁰) is equal to the opposite side, x, over the adjacent side (20 inches).
Tan (35⁰) = x/20
0.7002 = x/20
x = 14.004 inches.
For more understanding of the statement please see the image below.
So, The height of the canvas according to tangent is 14 inches.
Learn more about tangent here
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