Answer:
dx/dt = 0,04 m/sec
Step-by-step explanation:
Area of the circle is:
A(c) =π*x² where x is a radius of the circle
Applying differentiation in relation to time we get:
dA(c)/dt = π*2*x* dx/dt
In this equation we know:
dA(c)/dt = 0,5 m²/sec
And are looking for dx/dt then
0,5 = 2*π*x*dx/dt when the area of the sheet is 12 m² (1)
When A(c) = 12 m² x = ??
A(c) = 12 = π*x² ⇒ 12 = 3.14* x² ⇒ 12/3.14 = x²
x² = 3,82 ⇒ x = √3,82 ⇒ x = 1,954 m
Finally plugging ths value in equation (1)
0,5 = 6,28*1,954*dx/dt
dx/dt = 0,5 /12.28
dx/dt = 0,04 m/sec
Answer:
A
Step-by-step explanation:
The trigonometric function gives the ratio of different sides of a right-angle triangle. The value of cos(28°) is -0.9626.
<h3>What are Trigonometric functions?</h3>
The trigonometric function gives the ratio of different sides of a right-angle triangle.

where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.
The cosine is the ratio of the base of the triangle and the hypotenuse of the triangle. Therefore, The value of cos(28°) is -0.9626.
Learn more about Trigonometric functions:
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Answer:
ive seen this before its not to teach what you think stay away from it
Answer:
10
Step-by-step explanation:
x- intercept is where the equation intersect the x-axis. So, at x-axis y = 0
2x + 4*0 = 20
2x = 20
Divide both sides by 2
2x /2 = 20/2
x = 10