Answer:
1. <2, <7
2. 58
3. 78
4. a and b
h5. <2 and <7 ( i think this is the same question as the first one)
Step-by-step explanation:
2. 2x + 7 = 123 (you have to make them equal to each other because they are consecutive interior angles)
2x + 7 = 123, subtract 7
2x = 116, divide 2 for both sides to make x by itself
x = 58
3. 78 because of consecutive interior angles
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
__
(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.)
A) .10 d + .25 q = 7.75
B) d + q = 40
Multiplying B) by -.10
B) -.10d -.10q = -4.0
Then adding this to A)
A) .10 d + .25 q = 7.75
.15q = 3.75
Quarters = 25
Therefore, dimes = 15
***************************************************
Double-Check
A) .10 d + .25 q = 7.75
A) .10 * 15 d + .25 * 25 = 7.75
A) 1.50 + 6.25 = 7.75
Correct!!
Answer:
The measure of angle θ is 7π/6. The measure of its reference angle is <u>210°</u>
and sin θ is <u>-1/2</u>.
Step-by-step explanation:
The correct question is:
<em>The measure of angle θ is 7π/6. The measure of its reference angle is ___</em>
<em>and sin θ is ___</em>
180° is equivalent to π radians. To transform 7π/6 radians to degrees, we have to use the following proportion:
180° / π radians = x° / (7π/6 radians)
x = (180/π) * (7π/6 radians)
x = 210°
And sin(210°) = -1/2
Answer:
2+x
Step-by-step explanation:
2(1-x)=2-2x
2-2x+3x=2+x
