825 miles because 495 divided by 9 is 55 so 55=1 mile and 15 miles=825
Find the words Mrs.hilt read
2010 x 21 = 42210 words
Find the money of 21 books
21 x 4.95 = $103.95
Answer:
30°
Step-by-step explanation:
The ratio of the side opposite (AB) to the hypotenuse (AC) is ...
4.5/9 = 1/2
From your memory of a short table of trig functions you know this is the sine of 30°. From the mnemonic SOH CAH TOA, you know that
Sin = Opposite/Hypotenuse
Putting these facts together gets you ...
sin(C) = 1/2 = sin(30°)
C = 30°
The area of the surface generated by revolving the curve about the axis y = 9-x² is 12π
<h3>
What is a revolution on a graph? or curve?</h3>
Surfaces of revolution are graphs of functions f(x,y) that rely exclusively on the distance from the origin of the point (x,y).
Polar coordinates (r,) are one approach to discuss such surfaces. A "surface of revolution" is formed by rotating a curve around an axis.
Consider a curve with coordinates x and z in the "x0" half of the Euclidean plane.
<h3>What is the calculation justifying the above answer?</h3>
y = √(9-x²)
⇒ dy = (-2x)/2√9-x²)
= -x/√(9-x²)
Note that surface area (s) is given as:
√1 + (dy/dx)² dx
= 2 √9-x² * √[1 + (-x)/√9-x²)]dx
= 2π 3dx
= 6π [x]₋¹₁
= 6π (1-(-1)
= 6π (2)
= 12π
Learn more about revolving on a curve:
brainly.com/question/2293431
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