Answer:
m<AIR = 90 deg
Step-by-step explanation:
I assume the problem contains an error, and that AR is a diameter, not AC.
Look at the diameter of the circle, AR. It passes through the center of the circle, C. You can think of the two radii of the circle, CR and CA, as sides of angle RCA. Since AR is a diameter, and AR is a segment which is part of line AR, rays CR and CA are sides of an angle that lie on a line. That makes the measure of angle RCA 180 deg. Angle RCA is a central angle of circle C since its vertex is the center of the circle.
Angle AIR is an inscribed angle in circle C since its vertex is on the circle itself. If an inscribed angle and a central angle intercept the circle at the same two points, then the measure of the inscribed angle is half the measure of the central angle.
m<AIR = (1/2)m<RCA = (1/2) * 180 = 90
m<AIR = 90 deg
Well, I can't figure out the answer at the moment, but I can give you a tip. Just substite each possible sign in the to see if one works... for example: +++, x+-, ++-....
Hope this helps you out :)
Answer and Step-by-step explanation:
We are not given the function in question, but in order to explain, will form a function. Suppose f(x) = 3x + 2.
If f(x) = 17, then
3x + 2 = 17, to find the value of x, we have solve for x in the equation.
3x = 17 – 2
3x = 15
x = 5
This is the method that can be used to solve problems of this nature.
Answer:
- g(2.95) ≈ -1.8; g(3.05) ≈ -0.2
- A) tangents are increasing in slope, so the tangent is below the curve, and estimates are too small.
Step-by-step explanation:
(a) The linear approximation of g(x) at x=b will be ...
g(x) ≈ g'(b)(x -b) +g(b)
Using the given relations, this is ...
g'(3) = 3² +7 = 16
g(x) ≈ 16(x -3) -1
Then the points of interest are ...
g(2.95) ≈ 16(2.95 -3) -1 = -1.8
g(3.05) ≈ 16(3.05 -3) -1 = -0.2
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(b) At x=3, the slope of the curve is increasing, so the tangent lies below the curve. The estimates are too small. (Matches description A.)
Answer:
64 mm³
Step-by-step explanation:
I am assuming there was a photo to go with this problem
However the general formula to find volume is usually V = l×w×h
- It does not matter which measurement is which because they all get multiplied together.
- However assigning a name to each unit of measurement we will denoted the length (l) as 2 mm, the width (w) as 8 mm, and the height (h) as 4 mm
- Plugging these values into the formula we get: V = (2)(8)(4) = 64 mm³
